Chiral Induced Spin Selectivity

Since the initial landmark study on the chiral induced spin selectivity (CISS) effect in 1999, considerable experimental and theoretical efforts have been made to understand the physical underpinnings and mechanistic features of this interesting phenomenon. As first formulated, the CISS effect refers to the innate ability of chiral materials to act as spin filters for electron transport; however, more recent experiments demonstrate that displacement currents arising from charge polarization of chiral molecules lead to spin polarization without the need for net charge flow. With its identification of a fundamental connection between chiral symmetry and electron spin in molecules and materials, CISS promises profound and ubiquitous implications for existing technologies and new approaches to answering age old questions, such as the homochiral nature of life. This review begins with a discussion of the different methods for measuring CISS and then provides a comprehensive overview of molecules and materials known to exhibit CISS-based phenomena before proceeding to identify structure–property relations and to delineate the leading theoretical models for the CISS effect. Next, it identifies some implications of CISS in physics, chemistry, and biology. The discussion ends with a critical assessment of the CISS field and some comments on its future outlook.


INTRODUCTION
Since the time of Louis Pasteur, chiral symmetry and chiral molecules have intrigued chemists.Chiral molecules exist as stereoisomers, termed enantiomers, that are nonsuperimposable mirror-image structures of each other, like right and left hands.While the chemical formula and atomic connectivity of enantiomers are identical, their three-dimensional structure is not and gives rise to distinctive interactions with circularly polarized light.Chiral molecules that appear in organisms (lipids, carbohydrates, nucleic acids, and proteins) are homochiral, and even though the chemical behavior of enantiomers is often very similar, their bioactivity is not.−3 Even more generally, one might ask, "Why is chirality, as such, preserved so persistently throughout evolution?"or "What makes chiral symmetry so important to life?" Answers to these questions could involve the relationship between chirality and the electron spin, which manifests as the chiral induced spin-selectivity effect (CISS).CISS refers to the connection between chiral symmetry and electron spin in molecules and materials and it can manifest for electron transmission and for electron displacement currents.
The idea that spin-polarized electrons scatter asymmetrically from chiral molecules was explored soon after the discovery of parity violation, i.e., the weak force breaks parity conservation, by Lee and Yang. 4 However, studies with chiral molecules in the gas phase gave scattering asymmetries of A < 10 −4 , where A = (I + − I − )/(I + + I − ) where I + and I − are the intensities of the electron beam with spin angular momentum parallel and antiparallel to the velocity.In 1999, we showed that the asymmetry in photoelectron scattering is >100-fold larger, ca.0.1−0.2, when the electrons traverse through an ordered film of chiral molecules. 5−8 In 2006, Wei et al. first showed that the phenomenon manifests for electron transport in electrochemical tunnel junctions, 9 and since that time a large number of tunnel junction measurements and proximal probe studies have observed spin-dependent electron transport through chiral molecules and ultrathin chiral films. 10,11In 2011, Goḧler et al. used Mott polarimetry to measure the photoelectron spin distributions through films of duplex DNA and found spin asymmetries as high as 60%. 12A perspective/mini-review of this early work in 2012 helped spark interest in this phenomenon, which is now called the CISS effect. 13Over the past decade, the number of publications using the term chiral-induced spin selectivity, and their corresponding citations has grown considerably year over year (see Figure 1).This review aims to provide a more comprehensive description of the field and current understanding of CISSrelated phenomena than that of reviews prior and comprises eight parts.In the next section we overview the different methodologies that have been used to measure the CISS effect, and then we follow with a section that summarizes the classes of molecules and materials shown to exhibit CISS.In Section 4, we identify general trends and inferences that can be drawn from particular experiments described in Sections 2 and 3, and in Section 5 we provide a brief assessment on the current status of theory, and its advances, since the review published in 2022. 14In Section 6, we describe some implications and applications of CISS for physics, chemistry, and biology.Lastly, we conclude with a critical assessment of the field (Section 7) and then offer some forward-looking sentiments (Section 8)

METHODS FOR MEASURING CISS
Direct experimental determinations of the CISS effect fall largely into two main measurement modalities: the observation of spindependent electron transport through chiral systems and the measurement of charge polarization-induced spin polarization of chiral systems.Transport/transmission measurements have been performed, both above the vacuum level (Section 2.1) and below the vacuum level (Section 2.2).While studies have attempted to calibrate the magnitude of the CISS-response across different measurement techniques, 15 this process remains challenging because of differences in how the measurements are performed and how the CISS-response is quantified.In CISS studies the "spin polarization" has often been defined as the difference of measurables, for some process that selects for spin, divided by their sum.For example, the CISS literature often defines polarizations as normalized anisotropies in electron currents or charge transfer rate constants, and these quantities can be convoluted with the spin density of states.However, this treatment contrasts with classical definitions in which the spin polarization is formally given as the difference in populations for spin up and spin down electrons. 16,17Thus, care must be taken when comparing findings between different measurement techniques.
In addition to direct measurements, indirect probes for the CISS effect rely on the spin-selectivity of product formation in electrochemical reactions, 18 or of charge polarization-induced spin polarization, and the complementary phenomenon of spin polarization-induced charge polarization, of chiral molecules and materials. 19,20In the latter case CISS has been shown to give rise to enantiospecific interactions, be they intermolecular or with ferromagnetic substrates, 21,22 as well as spin-dependent charge delocalization. 19It is important to note that CISS is often a transient process, 23,24 particularly as it pertains to enantiospecific interactions or measurements affected by decoherence, vide inf ra; therefore, measurement time scales are important for revealing spin selectivity. 25,26Below we summarize different measurement techniques that have been used to probe the CISS effect in chiral molecules and chiral materials.

Photoelectron Spectroscopy
Spin-resolved photoemission of electrons through chiral molecular films or ultrathin chiral materials is often considered the "gold standard" for quantifying the CISS effect because measurement of the electron spin population is not convoluted with charge displacement currents.These studies have provided insights into the importance of molecular helicity and length, as well as substrate spin−orbit coupling 12,15,27−29 on the spindependent electron transmission.In cognate approaches, researchers have begun to explore CISS effects indirectly, e.g., through shifts in the substrate work function 30,31 and through spin-dependent electron-induced chemical reactions. 32.1.1.Mott Polarimetry.Mott polarimetry has historically been used for analyzing the magnetic characteristics of thin films 33−35 and characterizing spin-polarized electron sources, 36 among other applications. 37,38In this method electrons incident on a crystalline solid with large spin−orbit coupling (e.g., Au) scatter at different angles based on their spin orientation, and their angle dependent detection provides quantitative information about the spin population of the electrons.See ref 38 for a more detailed explanation and a historical perspective.For CISS studies, the typical process proceeds as follows: (i) electrons from a substrate, or a chiral material, 39 are photoexcited, (ii) the photoelectrons transit through (from) a chiral layer where spinfiltering manifests, (iii) the photoelectrons are directed to a Mott polarimeter and spatially resolved according to their spin.The number of photoelectrons observed at the two detectors (gray spheres, iv) are used to determine the asymmetry or spin polarization, P (see Figure 2 where I + and I − correspond to the intensity of photoelectrons measured at the two different detectors.By way of example, consider an Au substrate.Excitation of an Au (111) surface with clockwise and counterclockwise circularly polarized light produces spin-polarized photoelectrons with equal, but opposite, polarizations, whereas excitation with linearly polarized light does not give rise to a net spin polarization (see Figure 2b). 12Conversely, when the substrate is coated with double-stranded DNA, the polarizations measured for clockwise (Figure 2c), linear (Figure 2d), and counterclockwise polarized light excitation (Figure 2e) was negative, owing to the CISS effect.Similar studies have been carried out showing the spin selectivity of other oligonucleotides, 40 oligopeptides, 15,40 metal oxides, 39,41 and helicenes. 28or a recent review of CISS studies using Mott polarimetry, see ref 29.
2.1.2.Ultraviolet Photoelectron Spectroscopy.The determination of CISS using ultraviolet photoelectron spectroscopy (UPS) was first demonstrated by Weiss and co-workers for α-helical peptides immobilized on Co/Pt ferromagnetic substrates. 30Here, they measured changes in the photoelectron energies as a function of North and South magnetization of a Co/Pt substrate.A change in work function of ∼100 meV was observed and attributed to the spin-dependent exchange interactions occurring between the chiral molecules and the magnetized ferromagnetic substrate.Related studies on ferromagnetic substrates by Kelvin probe force microscopy have similar work function shifts. 19Because of the spin-selective electron delocalization of chiral molecules, the surface dipole moment is affected by the substrate magnetization.As a result, magnetization determines how much the adsorbates accept, or donate, charge density with the substrate and change the work function.Note that a spin-polarized detection scheme, such as Mott polarimetry, can also be used in tandem with UPS; work by Viswanatha et al. showed that the spin and momentum, both transverse and longitudinal, of the photoelectrons can be resolved for 3-methylcyclohexanone adsorbates on Cu(643) surfaces. 27

Electron Transport
Since the first report in 2006, 9 many studies have explored spinpolarized electron currents through tunnel junctions of various types.Notably, studies also show that electron transport through chiral semiconductors and chiral metals is spin-filtered.Thus, CISS does not originate from a particular subclass of conventional conductance mechanisms; however, it remains unclear if the mechanism underlying the spin selectivity is different for metallic conduction than it is for tunneling.To date, no correlation between reported spin polarizations and corresponding conductivities among different classes of materials has been reported. 42.2.1.Conductive Probe Atomic Force Microscopy.Magnetic conductive probe-atomic force microscopy (mc-AFM) studies, in which a ferromagnetic electrode acts as a spin analyzer, are now available for a large range of organic and bio-organic molecules, hybrid organic−inorganic materials, and inorganic materials (see Section 3).mc-AFM measurements display distinctive characteristics (vide infra) and are being widely used.It is important to note, however, that the geometry in which the experiment is performed can determine the sign of the polarization; see ref 43 for a recent discussion on this topic.Figure 3 exemplifies these features for the case in which the AFM tip is magnetized, either North or South, relative to the molecule.The current voltage curve for the peptide 1N (Figure 3b) shows that the current is higher when the tip is magnetized to select for electrons with their spins oriented parallel to their velocity (blue) as compared to the case in which the electron spins are oriented antiparallel (red) to their velocity.That is, the magnitude of the current is higher when the electron spin direction and the electron velocity are aligned parallel.It is common to define a percent polarization as  and this is plotted in Figure 3d for the peptide 1N (green).The same measurement on peptide 1C (linker attached to the Cterminus of the peptide rather than to the N-terminus) displays an opposite behavior.That is, the current is higher for the case where the spin is aligned antiparallel to the electron velocity (see Figure 3c).An analogous dependence on the peptide's attachment to the surface was reported from photoemission studies.8,44 The experimental mc-AFM studies have caused intensive discussion because they display behavior that differs from those commonly expected for magnetoresistance devices used in spintronics.45 Those devices are based on two ferromagnetic electrodes comprising a "hard" magnet (high coercivity) and a "soft" magnet, with an insulating metal oxide layer, typically tens of nanometers thick, between them.In common magnetoresistance devices, the current behaves as if it flows through a diode, namely one spin current is dominant under positive voltage bias and the other under negative bias.This is not the case for CISS-based devices where the same spin-current is dominant, independent of the voltage sign.In addition, CISSbased devices often display spin polarizations that are higher than what is expected for the magnetic layer acting as the analyzer polarizer, which implies that the chiral molecular junction must be nonlinear.In fact, the current in CISS-based junctions often depend nonlinearly on the voltage, see Section 3.1.1and the discussion below.
The current−voltage data in the mc-AFM measurements can be understood by considering a model in which the applied voltage polarizes the chiral system and this charge polarization is accompanied by spin polarization (see ref 46).The model considers a chiral molecular film located between two leads, one of them a ferromagnet, and assumes that charge polarization of the chiral molecules by the applied voltage causes spin polarization.The positive pole of the chiral molecules is associated with one spin and the negative pole is associated with the opposite spin in an enantiospecific manner, i.e., depends on the handedness.Hence, electrons that have to penetrate into the chiral system from the ferromagnetic electrode confront a spindependent barrier whose magnitude is proportional to the charge at the pole times the spin-exchange interaction.By assuming that the charge at the pole is about 10% of an electron charge and that the magnitude of the spin-exchange interaction is on the order of 1 eV, one finds the difference in barrier height for the two spins to be ∼100 meV.Indeed, experiments indicate that the difference in injection barrier for the two spins is of this order of magnitude, e.g., see ref 10.Such a barrier explains the very high spin selectivity at room temperature.Other works have proposed "spinterface" models to explain these experimental signatures in a more quantitative manner (see Section 5.1).

Scanning Tunneling Microscopy Methods.
Diez-Perez and co-workers 11 used scanning tunneling microscopy (STM) break-junction measurements to show that CISS manifests in single molecule junctions, i.e., the spin-filtering does not depend on having a chiral film, but can manifest at the single molecule level.In this work, they trapped individual peptide molecules between a magnetized STM Ni tip and an Au electrode and measured the current.They found that the molecular conductance depends on the magnetization state of the STM tip and on the enantiomeric form of the peptide.Note that these measurements did not display a perfect antisymmetry, and it was necessary to invoke a spin-to-charge voltage (or "spinterface" effect, see Section 5.1) to fully explain the data.More recently, CISS studies at the single molecule level have been performed by Burgler and co-workers, who used spinpolarized STM to examine the enantioselective adsorption of chiral molecules on magnetic surfaces, 47,48 and by Ortunõ et al., who have developed a chiral oligo(phenylene)ethynylene based molecular tunnel junction and used theoretical calculations to predict spin polarizations of 20% to 40%. 49Collectively, these experiments demonstrate that CISS manifests at the single molecule level.

Magnetoresistance and Spin Valve
Studies.The mc-AFM method described in Section 2.2.1 can be viewed as a spin valve, in which the magnetic probe tip, or the substrate, acts as the ferromagnetic contact.A vertical magnetic spin valve device comprises a chiral film that is contacted on one side to a normal metal electrode and on the other side to a magnetic electrode, whose magnetization direction can be changed by an applied external magnetic field.In this device, a magnetoresistance is obtained from measurements of the current− voltage response through the top and bottom contacts as a function of an applied magnetic field and probe how the chiral film affects the magnetoresistance.This configuration was first used to measure spin-selective charge transfer through a selfassembled monolayer of polyalanine with a magnetized Ni layer, 50 and has since been used to evaluate the magnitude of the CISS effect with other chiral systems. 51Unlike standard spintronic devices, in this configuration only one magnetic layer is needed for a CISS-based device because the chiral axis direction of the insulating layer determines the spin direction that is analyzed.In a four-probe setup it is possible to measure the magnetoresistance without the contribution of the contact resistances.In this configuration, larger area devices are used and smaller magnetoresistance values are found; see ref 52 for further explanation and Figure 9 for a representative example.Note that more elaborate spin-valve structures have also been used for studying CISS. 53,54.2.4.Electrochemical Tunnel Junctions.The determination of CISS in a tunnel junction configuration was first shown using electrochemical methods on porphyrin terminated chiral molecular scaffolds, L-Cys-(pro4(2S4S)) 4 -Porph and D-Cys-(pro4(2R4R)) 4 -Porph, immobilized on gold electrodes.9 Here, excitation of the porphyrin with circularly polarized light (left vs right) created a spin-polarized population of porphyrin excited states and the subsequent photocurrent was measured.Interestingly, a spin polarization (ca.0.5%) in the photocurrent was observed with excitation polarization and was found to depend on the handedness of the molecular scaffold.The results were rationalized as spin-dependent processes affecting the electronic coupling.Similar results have been shown for chiral oligopeptide SAMs with tethered CdSe quantum dots on ferromagnetic electrodes placed in contact with a ferri-/ ferrocyanide redox couple; however, here the polarizations were determined by changing an applied magnetic field on the electrode.55 Upon excitation, polarizations as high as 30% were reported at the redox potentials of the ferri-/ferrocyanide and the findings were corroborated by steady-state fluorescence measurements that monitored the asymmetry in quenching associated with electron transport to the electrode.Electrochemical methods have also been used to measure spin polarization in the dark; Kettner et al. observed changes in the oxidation and reduction currents for ferri-/ferrocyanide solutions, using magnetized electrodes coated with oligopeptide SAMs.15 The larger current response was found when the spins were aligned antiparallel to their momentum, in agreement with the conclusions drawn from photoemission measurements for the same oligopeptide assemblies.
Researchers have quantified changes in the charge transfer rate, k 0 , of redox species attached to chiral monolayers.For instance, ferrocene-oligopeptide composites immobilized on gold showed an asymmetry in the charge transfer rate for reduction and oxidation that depends on the handedness of the oligopeptide, e.g., for L-oligopeptides the k 0 for reduction was faster than the k 0 for oxidation and for D-oligopeptides the k 0 for reduction was slower than the k 0 for oxidation. 56This behavior was attributed to an induced magnetization associated with the oligopeptide assembly, similar to that shown in other works, 57 and the CISS-mediated transport properties of the oligopeptides.Experiments have also been performed on magnetized ferromagnetic electrodes, so as to exclude spontaneous magnetization effects. 58In these studies cytochrome c was immobilized on Cys-Ala-Glu tripeptide monolayers and electron transfer from the cytochrome c's heme unit to the electrode was measured.For tripeptide SAMs in which each of the substituents was levorotatory (LLL), a North applied magnetic field led to a faster rate constant than a South magnetic field, whereas tripeptide SAMs comprising all dextrorotatory substituents (DDD) resulted in the opposite dependence, i.e., a South magnetic field led to a faster rate constant than North magnetic field.For SAMs with a heterochiral structure, e.g., LDL, the electron transfer rates for North and South applied magnetic fields were the same.
The spin-specific change in charge transport through chiral molecules in electrochemical tunnel junctions, be that through monitoring changes in current or charge transfer rate, likely arise from the same phenomenon: spin-dependent changes in resistance for charge transport.−61 For the DNA assemblies, deviations in charge transfer resistance with magnetization orientation are observed, owing to the CISS effect; however, in achiral systems the charge transfer resistance is unaffected by the magnetic field orientation.

Hanle Rotation.
The Hanle effect can probe the spin polarization of carriers in a semiconductor by measuring their spin precession and dephasing as they propagate through a transverse magnetic field. 62,63In addition to determining spin lifetimes, Hanle effect measurements also report on pure spin transport and on spin accumulation, which gradually reduces to zero with increasing magnetic field strength. 64,65In traditional electrical Hanle measurements a ferromagnet is used to generate a spin-polarized current in a transport channel that is probed through spin accumulation on a semiconductor.Recently, Xiong and co-workers generated spin-polarized current by injecting electrons from an Au electrode, which was coated with an αhelical polyalanine film, into a transport channel and detected the spin accumulation at a GaAs electrode (Au/L-polyaniline/ Si:GaAs junctions). 66They observed universal temperature and bias current dependences for the spin-polarized carriers.These results provide further evidence that CISS-based spin polarization can be detected without the use of a ferromagnet.

Charge Polarization and Spin Polarization Methods
The methods in Section 2.2 rely on steady-state or periodic charge currents; however, this need not hold for observing spin polarization in chiral molecules.Recent studies show that it is enough to charge polarize chiral materials transiently to generate a spin polarization, and that the complementary response in which a magnetization induces a charge polarization can manifest.

Spin-Dependent Polarization in Hall
Voltage.Surface magnetizations, induced by the CISS response of a chiral film, have been investigated using the Hall and anomalous Hall effects. 20,67Hall effect devices 68 are widely used for continuous monitoring of spin-induced magnetization, 69 and they commonly have one of two configurations: a standard Hall bar configuration and a van der Pauw square configuration. 70It is important to note that in shallow two-dimensional electron gas (2DEG) devices the surface spins interact strongly with the 2DEG through Ruderman−Kittel−Kasuya−Yosida (RKKY) interactions. 71When spin-polarized electrons are injected into III−V heterostructures (such as AlGaN/GaN or AlGaAs/GaAs) that contain a 2DEG layer, the semiconductor becomes magnetized, even at room temperature, with a magnetization direction that depends on the direction of the polarization of the injected spins. 72For dry measurements, a shallow GaAs 2DEG is mostly utilized, 67 while for liquid solutions GaN-based 2DEG are most used. 72The latter can also be used to monitor the spin dependence of electrochemical processes.
In 2017, Kumar et al. used a Hall bar device to show that an applied voltage acting on a chiral oligopeptide film generates a magnetization at the interface between the monolayer film and the Hall bar surface, even though no net current flows. 20Figure 4a,b shows a schematic diagram of their experimental measurement design.They constructed a Hall bar circuit, which was buried under a few nm thick film of GaN and then coated with a self-assembled monolayer film.The application of a voltage between the bottom working electrode and the counterelectrode (G) creates a displacement current that charge polarizes the chiral molecular film and generates a transient Hall voltage signal (Figure 4c), which then decays.Upon release of the applied voltage, the film discharges and generates an opposite Hall voltage because of the opposite direction of current flow.Figure 4d shows that the signal increases with the magnitude of the applied voltage, which increases the charging current, and that it is enantiospecific, i.e., a film of L-oligopeptide has a response opposite in sign to that of a film of D-oligopeptide.Note that no magnetic materials and no external magnetic fields are present in this experiment; the chiral charge polarization of the molecules gives rise to a spin polarization at the bottom of the film that manifests as a magnetization that acts on the charge carriers moving in the source drain channel.
The Hall circuit design can be incorporated into a working electrode, which can be used to probe spin-selective charge transfer and charge displacement processes.The electrochemical cell used in the above experiment was constructed to not display any Faradaic current, so that the oligopeptide-coated electrode surface would closely approximate an ideally polarizable electrode.If instead, one constructs an electrochemical cell with a redox couple, then Faradaic current can flow and the working electrode, with its embedded Hall device, allows one to monitor the spin dependence of redox reactions in addition to the charge currents that are traditionally measured. 72By using a working electrode that possesses an embedded Hall probe, one can perform "3D spin electrochemistry", 73 i.e., measure the current, voltage, and spin simultaneously for redox reactions. 74ost of the Hall signal induced by chiral molecule adsorption on metals and semiconductors seems to arise from the anomalous Hall effect. 75This was verified by experimentally verifying the relation between the longitudinal and Hall resistance as a function of temperature. 76.3.2.Emergent Magnetic Properties and Magnetic Force Microscopy.The spin polarization, which is generated by the charge redistribution in chiral molecules, can be stabilized in a ferromagnetic film.Figure 5 shows magnetic force microscopy images of lithographed surfaces in which chiral molecules, by virtue of their charge-polarization induced spinpolarization, imprint a magnetization onto a ferromagnet.57 Figure 5a,b shows topographical images of a patterned surface on which L-and D-polyalanine monolayers are adsorbed, and the corresponding magnetic force microscopy images in Figure 5c,d show opposite magnetization directions.These findings establish that as chiral molecules and ferromagnetic layers come into contact, the spin-polarized current exchange between the chiral layer and the ferromagnet is very efficient in polarizing the spins of the ferromagnet (Figure 5).50 In this case, about 10 13 electrons per cm 2 are sufficient to induce magnetization reversal.The direction of the magnetization depends on the handedness of the adsorbed chiral molecules, i.e., it is enantiospecific.In contrast, the current density required for the spin-transfer torque in modern magnetoresistive random access memory is 10 6 A cm 2 , or about 10 25 electrons cm 2 /s, a trillion times higher.Note that the inverse effect, enantiospecific interaction of chiral molecules with a magnetized substrate, can be used to separate chiral molecules 21 (see Section 6.2).

Spin Exchange Microscopy.
The enantiospecific interaction between chiral molecules and ferromagnetic surfaces enables one to perform locally resolved magnetic imaging by adsorbing chiral molecules on an AFM tip. 78This technique is based on short-range spin-exchange interactions that can be scaled down to atomic resolution and only require a conventional AFM tip functionalized with a chiral molecule.A direct measurement of the force and tip displacement for the interaction between a ferromagnetic substrate and chiral molecules provides energy for the interaction, and the difference in energy for the two magnetization directions (North versus South) of the ferromagnet allows one to determine the difference in exchange energies.The mean pulling energy showed a difference of 150 meV for sample magnetizations of North and South along the sample normal.
To illustrate the phenomenon, consider the interaction between two helical molecules.When two chiral molecules of the same handedness interact, the charge polarization is accompanied by a spin polarization acting in the same direction, e.g., pointing outward along the helix axis (see Figure 6), and the exchange interaction between the molecules' excess spin densities in the overlap region is characterized by two spin polarizations aligned antiparallel.In contrast, the spin polarizations of two interacting molecules of opposite chirality would be aligned parallel.The difference in these spin arrangements generates a change in exchange energies. 20Note that the spin polarization manifests even when the two molecules are each closed shell; while they remain singlet states globally, their electron clouds can locally display spin imbalances.

Kelvin Probe Force
Microscopy.Probing the surface potential that is induced by spin transfer can be achieved using Kelvin probe force microscopy (KPFM).The basic Kelvin probe measurement consists of a metallic probe electrode that is placed near the sample surface to form a capacitor. 79Then, the distance between the probe electrode and the sample surface is changed periodically to generate a frequency dependent capacitance.Thus, an AC voltage is created across the gap, and it is proportional to the voltage difference between the probe electrode and the sample.Rather than record the AC voltage directly, it is common to apply a DC voltage, referred to as the contact potential difference (CPD), to null the response.To measure the CISS-induced spin wave function changes, the CPD can be measured when altering the adsorbate's enantiomeric form and the surface magnetization (see Figure 7).Kelvin probe measurements on ferromagnetic thin film electrodes coated with self-assembled monolayers of chiral molecules reveal that the electron penetration from the metal electrode into the chiral molecules depends on the ferromagnet's magnetization direction and the molecules' chirality.Figure 7b−d shows the changes in the measured CPD with North (red) and South (blue) magnetizations for D-oligopeptide SAMs, achiral SAMs, and L-oligopeptide SAMs, respectively. 19Electrostatic potential differences as large as 100 mV are observed and arise from the applied oscillating electric field, which drives spin-dependent charge penetration from the ferromagnetic substrate to the chiral molecules.The large potential changes (>kT at room temperature) imply that this phenomenon is important for spin transport in chiral spintronic devices and for magnetoelectrochemistry of chiral molecules.

Other Techniques
While studies of the CISS effect in chiral materials are most prevalent using the techniques discussed above, a number of other strategies have been demonstrated and are being developed.Here, the manifestation of a CISS-response is akin to that described previously, in that it arises from a spindependent response in the material that depends on the chirality.
2.4.1.Fluorescence.Fluorescence spectroscopy can provide detailed information about relaxation and/or charge and energy transfer processes that take place following light absorption.Thus, if energy transduction is affected by spin selectivity in a chiral system, then the photoluminescence of a chromophore can report on the spin-dependence for the transduction.For instance, researchers showed that the photoluminescence of nanoparticles tethered to magnetized ferromagnetic substrates through chiral oligopeptides changes with the orientation of an external magnetic field. 55Here, hole transfer, and hence photoluminescence quenching, from the nanoparticle to the substrate depended sensitively on the match, or mismatch, between the spin selectivity of the oligopeptide and the magnetization orientation of the substrate.Similar measurements have been made in which spin-dependent electron transfer 80 and energy transfer 81 processes are responsible for controlling the chromophore's photoluminescence intensity with substrate magnetization.
In addition to steady-state fluorescence, time-resolved measurements can provide information about the importance of spin on charge transfer kinetics.Such behavior was demonstrated by studies of donor-bridge-acceptor nanoparticle systems, in which the acceptor was made chiral. 82Here, excitation of the donor nanoparticle with clockwise and counterclockwise circularly polarized light, thus yielding spinpolarized excitation of the donor, resulted in large differences in charge transfer rates to the acceptor because of the CISS effect.Note, however, that the efficacy of these measurements relied on several factors: (i) the system required a principal excitation axis to define the electron spin orientation relative to that of the transport trajectory, and (ii) the time scale for electron transfer had to be shorter than the decoherence of the spin.

Resonance Spectroscopies.
To date, only a handful of spectroscopy methods have been applied to the study of CISS; however, they are likely to prove very important in future studies, because they can provide incisive information about CISS when the chiral system is weakly coupled to its surroundings.

Cross-Polarization NMR.
Although "conventional wisdom" holds that nuclear magnetic resonance (NMR) spectroscopy is not sensitive to a molecule's chirality unless it is perturbed by a chiral bias of some sort, this assumption is overly simplistic.For example, Buckingham has shown that NMR methods that sense odd parity magnetoelectric coupling terms should be able to directly probe chirality. 83,84In other works, Ugalde and co-workers used CP-NMR to measure the solid-state NMR spectra of 15 N nuclei for different enantiomers of amino acids, and found a systematic and significant increase in the signal levels for the D-isomer over that for the L-isomer, even though the chemical shifts are identical. 85,86The CP-NMR experiment transfers polarization from the majority nuclear spins (protons in this case) to the dilute minority spins ( 15 N nuclei in this case) and the efficiency of this process is enantiospecific, giving rise to higher signal intensities for the D- isomer in their spectrometer.This finding implies that the coupling, which leads to the polarization transfer, is enantiospecific and they propose a mechanism based on CISS to rationalize their findings.Experiments of this sort are important for studying fundamental features of CISS, because they do not have the complications associated with molecule− substrate couplings; rather, they probe the interaction between nuclei in the amino acid molecules, via the molecule's CISSbased electronic response.
2.4.2.2.Time-Resolved EPR Studies.Electron paramagnetic resonance (EPR), or electron spin resonance (ESR), spectroscopy can provide a direct probe of spin polarization.Its use in CISS studies was first reported in 2020 by Ansermet and coworkers to probe the spin polarization of paramagnetic radicals that are produced by electrochemical reduction at a chiral electrode (i.e., Au coated with an oligopeptide). 87−90 Recently, Wasielewski and co-workers have demonstrated that photoinduced electron transfer in a donor-chiral bridge-acceptor molecule gives rise to electron spin polarization in the biradical product, ca.50%. 91.4.3.Magnetometry and Magneto-optical Methods.The accumulation of spin polarization at interfaces, or even selfcontained in chiral materials, has led to the use of magneticbased detection schemes for monitoring the CISS effect.Indeed, such behavior is responsible for the response in Hall devices (Section 2.3.1),magnetic force microscopy (Section 2.3.2), and spin-exchange microscopy (Section 2.3.3)measurements; however, other methods for detection have also been employed.For instance, superconducting quantum interference device (SQUID) magnetometry has been used to measure the effect of chiral molecules on the magnetic properties of materials; studies show that superparamagnetic iron oxide nanoparticles adsorbed on chiral self-assembled monolayers become ferromagnetic 92 and conventional superconductors may exhibit topological superconductivity when interfaced with chiral molecules. 93nother technique, which has been used to probe the CISSeffect in chiral materials, is magnetic circular dichroism.Here, a magnetic field is oriented parallel or antiparallel to the direction of light and the differential adsorption of left and right circularly polarized light is measured. 94In a typical experiment, the orientation of the external magnetic field determines the sign of the optical activity.Conversely, when the CISS effect is stronger than the effect imposed by the external magnetic field, a change in magnetic field orientation does not change the sign of the optical activity.Such behavior has now been observed for chiral mesostructured BiOBr and α-Fe 2 O 3 . 95,96pin transport from chiral materials to adjacent ferromagnetic layers has been probed by magneto-optic Kerr effect (MOKE) measurements in which a change in the magnetization of a magnetic material is monitored through changes in the reflection of polarized light off its surface.Figure 8a shows a schematic for MOKE measurements.Here, linearly polarized excitation of a chiral perovskite film creates a photoinduced spin current that magnetizes an adjacent ferromagnetic layer. 97The Kerr angle, reflecting the change in magnetization of the ferromagnetic layer, depends on the perovskite's enantiomorph, whereas achiral perovskites show no response.Figure 8b shows the change in MOKE response upon photoexcitation of the perovskites, and Figure 8c plots the change in Kerr angle with applied magnetic field.Experiments have shown that a change in Kerr response can occur upon photoexcitation or thermal activation of chiral layers because of CISS-mediated transport. 97,98ote that other spectroscopic methods, such as optically detected magnetic resonance via nitrogen vacancies in diamond, are also being used to measure magnetization effects for CISS studies, e.g., reorientation of ferromagnetic layers upon adsorption of chiral molecules. 99.4.4.Spin Seebeck Effect.In magnetic materials, spin currents can arise from temperature gradients by the conventional spin Seebeck effect. 100Recently, Sun and co-workers used a temperature gradient to generate a spin selectivity effect in chiral materials without any ferromagnetic layer, which they call the CPASS (chiral-phonon-activated spin Seebeck) effect. 98In this case the chiral phonon−electron coupling generates a spin current because of the conservation of angular momentum, i.e., the chiral phonons transfer angular momentum to the electron spin angular momentum.CPASS provides a unique and incisive probe for examining the importance of electron−phonon coupling for the CISS effect.CPASS could also be used to distinguish between coherent and incoherent chiral pumping of spin waves in thin magnetic films. 101

MATERIALS AND MOLECULES EXHIBITING CISS
Early experiments on CISS have examined spin-dependent electron transport and electron polarization with organic molecules, for which the structure and organization of their assemblies can be manipulated.More recent studies have shown that CISS manifests for a wide array of molecular, supramolecular, and materials types.CISS effects have been reported for insulating, semiconducting, and metallic chiral solids; chiral quantum dots, chiral 2D layered materials, and chiral polymers, including biopolymers, and their assemblies.Here we overview these studies and identify key aspects about CISS, which they have revealed.Note that, a comparison across material types is discussed in Section 4. Having been investigated by spin-dependent photoemission, transport, electrochemical, and spin-dependent polarization experiments, they comprise testbed systems for comparisons between methods.These studies have provided a number of key insights into CISS properties.
Polarization, P, as a Metric.For both families of molecules spin polarization exceeding 60% was found, when the polarization, P, is defined as P j j j j = + + + with j + and j − referring to the charge current measured when the magnetic North pole is pointing toward the adsorbed molecules or away from them, respectively; and these magnitudes compare well to those observed by spin-polarized photoemission studies. 15ength Dependence.Over the size ranges studied (<20 nm for DNA and shorter for oligopeptides), the P increases linearly with the length.It is found that the α-helices of oligopeptides are about a factor of 5× better spin filters than DNA, on a per nanometer basis. 104The length dependence of the spin polarization results from the conduction of the favored spin decaying more slowly as a function of length than does the unfavored spin.
Voltage Dependence.In the conduction studies performed with the mc-AFM method, it was established that spindependent conduction displays a power law dependence on the voltage, with the power d being greater than one, and that a different voltage threshold for conduction exists for each of the spin polarizations.The different thresholds imply that spin flipping during the conduction is not significant, i.e., a mixed spin distribution would not generate different voltage thresholds. 104,127int Chirality versus Helical Chirality.Helical chirality appears to give rise to stronger spin filtering than the point chirality of individual stereocenters.Electrochemistry-based measurements show that folding DNA duplexes, comprising the same nucleobase sequences, into right-handed or left-handed helices controls the sign of the spin-filtering, implying that the helical twist of the duplex DNA dominates over the point chirality of the sugars. 102This observation is consistent with Mott polarimetry photoelectron studies using disordered films of single-stranded DNA and oligopeptides that display poor spin-filtering. 12ipole Orientation Effect.Both photoemission 8,44 and mc-AFM measurements 43 show that the sign of the spin-polarized current changes with the orientation of the molecule on the electrode.That is, placing an oligopeptide on a metal substrate by its carbon end gives a different sign for the spin polarization than binding it to the electrode by its nitrogen end.
Circular-Dichroism (CD) is a Predictor.Studies on oligopeptides of the same length but different CD strengths (lowest energy) show that the spin filtering increases as the CD strength increases. 43This claim is corroborated by studies on chiral quantum dots 82 (see Section 3.2.2) and supramolecular structures 128,129 (see Section 3.2.1).
3.1.2.Helicenes.Although helicenes do not contain carbon stereocenters, they possess axial chirality.−134 Although several classes of helicenes have been investigated, no reports have drawn a clear correlation between the structure of a helicene and its spinfiltering power.Photoemission studies indicate some effect of the substrate on the spin polarization; however, no simple correlation was found between the spin−orbit coupling of the substrate and the size of the spin polarization in the CISS effect. 28As a caveat, one must appreciate that different binding groups are used for attaching molecules to the different substrates and this can lead to different charge distributions at the interface, hence work functions.Thus, the exact role of the substrate remains an open issue and may require careful studies to reach firm conclusions.
3.1.3.Proteins.−142 These observations are consistent with electron transfer via peptidic pathways in proteins.Beyond these pioneering demonstrations, systematic studies have examined the temperature dependence of spin filtering, the importance of homochirality in electron transfer, and the role of CISS in allostery.
Temperature Dependence.Temperature-dependent conductance measurements show that the spin-filtering decreases with decreasing temperature, even in cases where the overall conductance remains approximately constant.These studies imply that spin-dependent transport is activated, suggesting the importance of phonons for CISS to manifest. 142See Section 4.7 for more discussion of temperature-dependence studies.
Homochirality in Redox Chemistry.Because the linear momentum of the electron and its spin are locked, backscattering in homochiral assemblies is suppressed, which makes electron transfer more efficient.Measurements with the redox protein cytochrome c on oligopeptide films of differing enantiomeric forms show that the electron transfer rates in the heterochiral assemblies are suppressed, as compared to the electron transfer rates in homochiral assemblies. 58ISS in Molecular Recognition.Spin dependent charge polarization in proteins affects allostery, enhancing or reducing reactivity at sites far from the binding position of the substrate.A recent study on the association of an antibody with its target protein antigen can be modulated by a ferromagnet, even when the protein is bound to the ferromagnetic substrate at a site remote from the binding site. 22,143The charge reorganization is modulated by the magnetization because the charge displacement currents in the protein are spin polarized.
3.1.4.Polymers.−149 In a number of cases these films are grown by CISS-mediated processes (see Section 6.3.3).A major outcome of these studies is the demonstration that spin-filtered electron transport can proceed over hundreds of nanometers to microns in length.For example, Yan and co-workers showed that polyaniline fibers spin-filter electron currents over length scales of a few microns, along the chiral axis of the supercoiled fibers. 144he spin filtering is not restricted to transport along the polymer chains, even current through thick (up to 120 nm) films of chiral polymers display spin-filtered currents, see Figure 11.Similar to the case of biopolymers, the spin-filtering is temperature activated 150 and a correlation exists between the spin polarization and the strength of the CD signal. 147

Inorganic and Hybrid Organic−Inorganic Materials
−154 Here we focus on CISS studies associated with different classes of chiral inorganic and hybrid inorganic− organic materials.Given the promise of CISS for interesting applications in spintronics, optoelectronics, and catalysis, the number of CISS studies with inorganic materials is expanding.
3.2.1.Chiral Supramolecular Constructs.Inorganic materials and organometallic supramolecular assemblies exhibit CISS properties and can be combined with other functional elements of supramolecular constructs for bespoke spinselective functions.For example, Therian and co-workers used mc-AFM and spin-Hall measurements to show that chiral conjugated zinc-porphyrin molecular wires polarize spin currents up to 32%. 155Incubating the as-assembled chiral molecular wires in binucleating ligands of the opposite handedness causes a flip in the circular dichroism response and corresponding spin-filtering properties of the assembly.In other work, Cardona-Serra and co-workers used cyclic voltammetry, electrochemical impedance spectroscopy, and transport studies to show that incorporation of paramagnetic Tb 3+ lanthanides into helical peptides leads to higher spin polarizations compared to metallizing with diamagnetic Yb 3+ . 122he spin-filtering properties of the paramagnetic helical metallopeptides were later used to construct a memristor. 156n other studies, Sang et al. showed that helical nanofibers composed of achiral benzene-1,3,5-tricarboxamide molecules with an aminopyridine group that could coordinate to Ag(I) display spin polarizations of ∼45%, 157 and Mtangi et al. showed that chiral Zn-porphyrin stacks display polarizations of ∼35%. 158Even much simpler organometallic complexes, which possess stereocenters as opposed to chiral secondary structures, exhibit CISS properties (see Wang et al. 159 and Miwa et al.) 160,161 Synergy of CISS and Spin Blockade.Spin filtering in chiral molecules containing paramagnetic ions is enhanced over that in molecules without paramagnetic ions, suggesting that CISS can be combined with more traditional spin blockade ideas to enhance spin filtering. 122hiral Supramolecular Constructs.Yamamoto and coworkers showed that the assembly of achiral cobalt phthalocyanines into helical supramolecular assemblies on ferromagnetic substrates can be controlled by the magnetization state of the surface. 162This guided self-assembly is similar to the enantioseparation of amino acids from racemic solutions by crystallization onto magnetized surfaces.
3.2.2.Chiral Inorganic Nanoparticles.The first report on a semiconductor's CISS response was in 2016, in which chirality was imprinted on CdSe NPs by surface ligands. 163Figure 9a,b shows mc-AFM measurements for studies on 2.2 nm CdSe nanoparticles passivated with cysteine molecules where an ∼33% polarization at negative bias and ∼15% polarization under positive bias was observed, in spite of the nanoparticles showing only a modest chiroptical response (∼0.5 mDeg). 163Moreover, a spin-valve device was constructed using the chiral nanoparticles and the data showed an asymmetric magneto-response in a manner consistent with the favorable spin alignment found for mc-AFM In other works, assemblies comprising CdSe-polyalanine multilayers, using a layer-by-layer approach, 164,165 display a large excitation polarization dependent change in fluorescence lifetime (∼3.5× longer for CW excitation than CCW) that was attributed to symmetry breaking-induced changes in nanoparticle coupling and spin delocalization. 164The enhanced delocalization between nanoparticles separated by long helical polyalanine was superior to that found in other experiments using short-chain achiral molecules, 166 and thus, could prove useful for design strategies in parallel computing applications.
Chiral quantum dots have also found a number of applications examining fundamental CISS issues and exploring device concepts.
Electron Transfer Rates and CD Correlation.Electron donor-bridge-acceptor dyads, comprising an achiral CdTe NP donor and a chiral CdSe NP acceptor, were used to demonstrate how spin-filtering in chiral assemblies affects electron transfer rates. 82The electron transfer rate asymmetry, (k et,CW − k et,CCW )/ (k et,CW + k et,CCW ), was found to correlate with the strength of the circular dichroism spectrum for the acceptor NPs first exciton transition, and the maximum asymmetry was 88%.These studies showed that the rates can be described by a Marcus electron transfer picture in which the electronic coupling is affected by CISS.
Optospintronic Memory Architectures.Spin selective electron transfer between chiral NP constructs and a substrate have been used to write local magnetizations corresponding to logical memory. 118The spin selectivity of electron transfer with chiral CdSe NPs has been exploited to demonstrate a 9-state volatile-like spin-memory device. 167.2.3.Hybrid Organic Inorganic Perovskites and Metal Halides.The initial work explicitly demonstrating CISS in R-/ S-methylbenzylammonium (R-/S-MBA) lead iodide perovskite 2-D layered thin films was shown by Vardeny and co-workers and displayed spin polarizations as high as 92%.168 Similar findings have since been reported in hybrid organic−inorganic perovskites and metal halides with other compositions as well (see Table 1).In related work, researchers have incorporated achiral additives into the chiral matrix in order to improve the film crystallinity, yet retain their spin-filtering power.169,170 For instance, Lee et al. showed that the addition of urea to (R-/S-MBA) 2 PbI 4 perovskites causes structural changes to the perovskite host, which can enhance the chiroptical response and ensuing spin polarization measured by mc-AFM.169 The spin-filtered currents in these materials can persist over thicknesses of hundreds of nanometers, and it is hypothesized to arise from multiple tunneling processes through the chiral organic molecules occupying the space between the layered octahedral perovskite sheets.168 The spin selectivity of perovskites in photoinduced transport has been leveraged for spin-polarized charge injection from perovskites into transition-metal dichalcogenides to manipulate valley pseudospins, 176−178 to realize spin-mediated photogalvanic and photovoltaic devices, 179 and to create circularly polarized light detectors 169,174,180,181 (see Section 6).
The perovskite film studies reveal a number of important aspects for CISS-based materials as well.
Length Dependence and Mechanism.The studies on films show that spin-filtered electron currents can propagate over hundreds of nanometers, 168 rather than the few nanometer limits observed for molecules.Measurements as a function of film thickness support a mechanism in which the chiral organic molecule layers spin-filter the electron currents and compensate for loss of spin purity as the propagation proceeds.
The Role of Chiral Phonons.Kim et al. showed that a spinpolarized current, which depended on the perovskite's handedness and an externally applied magnetic field, manifests when a chiral perovskite is subjected to a thermal gradient. 98The spin polarization was attributed to a chiral-phonon-activated spin Seebeck (CPASS) effect.

Transition Metal Dichalcogenides (TMDs).
A collection of works on chiral TMDs has recently been published and further expands the landscape of materials known to exhibit CISS properties.Duan and co-workers showed that intercalating chiral molecules into TaS 2 and TiS 2 TMD layers provide structurally robust materials with large spin polarizations, ca.60%. 182Interestingly, spin tunnel junction devices made from the materials show magnetoresistance exceeding 300%, over an order of magnitude larger than that observed in previous CISSbased systems.Other methods for preparing chiral TiS 2 have also been demonstrated. 183In related studies, Bian et al. report spin-polarized electron currents as high as 75% through 5 μm thick films of MoS 2 184 and greater than 90% in >100 μm TiS 2 crystals. 185he spin polarizations generated in chiral molecules and materials may also prove fruitful when interfaced with TMDs to break valley state degeneracy.Research on single monolayer MoS 2 and WSe 2 interfaced with chiral perovskites showed changes in the degree of valley polarization and the effect was attributed to the spin-selective charge injection from the chiral perovskite, i.e., CISS. 177A similar enhancement in valley polarization was also observed when D-histidine was interfaced with a monolayer of MoS 2 . 186Here, the spin-dependent charge redistribution properties of the histidine, and strong hybridization between histidine and the MoS 2 , led to the degree of polarization at the +K valley being 7.73% and the −K valley being 1.6%.Note that spin-dependent charge redistributions in chiral molecules can lead to spontaneous magnetization, 20 and application of external magnetic fields to TMDs can cause a Zeeman energy splitting that increases valley contrast. 187,188.2.5.Metal Oxides.A wide array of chiral magnetic oxides are becoming available and offer promise for a range of applications. 189Interest in chiral metal oxides for CISSapplications stems from initial research showing that electrodes coated with chiral molecules reduces the reaction overpotential for the oxygen evolution reaction compared to analogous electrodes coated with achiral molecules (see Section 6.3.1). 41y adapting the electrodeposition methods developed by Switzer and co-workers, 190,191 chiral CuO coated electrodes were studied by Mott polarimetry and shown to exhibit spin polarizations of ∼10%. 39In related experiments, the spin polarization through cobalt oxide surfaces was shown, using mc-AFM and Hall device measurements. 192,193More recently, Ghosh et al. showed that doping cobalt oxide thin films with 5% Mn afforded an ∼2-fold enhancement in the spin polarization (55−60%) compared to the undoped chiral thin film (25%), 192 whereas Bai et al. showed that helical stacking of NiO x nanoflakes leads to 50−80% spin polarizations. 194tudies of transition-metal oxides manifest the interplay between chiral symmetry and magnetic ions, or materials.By comparing magnetic circular dichroism (MCD) spectra for helically stacked nanoflakes, Bai et al. showed that chiral α-Fe 2 O 3 , which is antiferromagnetic, exhibits a chirality-dependent/magnetic field-independent MCD response whereas the ferrimagnetic Fe 3 O 4 and γ-Fe 2 O 3 nanoflakes exhibit a chiralityindependent/magnetic field-dependent MCD response. 95They conclude that magnetic field effects in the ferrimagnetic metal oxides are stronger than the magnetic field generated by CISS, whereas the CISS effect dominates for antiferromagnetic materials.Other measurements on metal oxides indicate that chiral symmetry can influence the magnetic ordering of a material.For instance, asymmetric adsorption of chiral molecules on a 10 nm superparamagnetic iron oxide nanoparticle caused the material to become ferromagnetic. 92In analogous experiments, vibrating sample magnetometer measurements showed that achiral CuO films were diamagnetic, whereas chiral CuO films were mostly paramagnetic with a weak ferromagnetic hysteresis. 39The emergent properties were hypothesized to arise from canted spins associated with a chirality-induced asymmetric lattice; however, more experiments are necessary to confirm such behavior.
Spin-Dependent Electrocatalysis.A combination of measurements for spin-filtered currents and for water electrolysis demonstrate the usefulness of CISS for directing chemical heterogeneous chemical reactions through spin control (see Section 6.3.1).
Nonmagnetic Oxide Spin Filters.Recent work by Al-Bustami et al. shows the promise of chiral metal oxides as spin filters in spintronic applications.By using atomic and molecular deposition techniques (see Figure 10), they created chiral Al 2 O 3 /organic hybrid films with a near 100% spin polarization. 195This represents the highest spin-polarized electron current, obtained via CISS, for a device structure.
3.2.6.Bulk Crystals and Organometallic Constructs.In the past five years, workers have shown that CISS phenomena are not restricted to ultrathin films and molecules but can also manifest in bulk solids.
3.2.6.1.Inorganic Chiral Crystals.Recent experiments on bulk crystals, ranging from insulators to semiconductors and metals, demonstrate that CISS-based, spin-polarized charge currents persist over micrometer to centimeter distances.Inui et al. first illustrated this fact for chiral CrNb 3 S 6 bulk crystals by detecting the spin-polarized charge current by an inverse spin Hall signal (voltage drop). 53The Hall signal, and hence spin polarization, was found to depend sensitively on the current direction as well as the handedness of the chiral crystal.The spin polarization in these crystals persisted over micron length scales, much longer than that of conventional achiral materials with lower spin−orbit interactions, 196 and were hypothesized to arise from antisymmetric spin−orbit interactions, i.e., the chiral materials did not exhibit normal spin-flipping processes.In follow-up experiments by the same group, the CrNb 3 S 6 crystals were shown to manifest bulk magnetization when an electric current was applied along the principal chiral axis of the crystal. 197The presence of CISS in inorganic crystals is not limited to CrNb 3 S 6 systems; recent studies have expanded the library of crystals to include chiral Te, NbSi 2 , and TaSi 2 ; 198−201 and theoretical works on SnIP double helices are argued to give rise to spin-dependent velocity asymmetries in electron transport as well. 202pin Transport up to Centimeters.Studies on chiral crystalline rods of NbSi 2 and TaSi 2 demonstrate that chiralitybased spin polarization can persist for centimeters in length. 203nverse CISS Manifests.Studies using CrNb 3 S 6 in device structures demonstrated the existence of an inverse CISS effect, i.e., a pure spin current induces a charge current. 53.2.6.2.Chiral Metal−Organic Frameworks and Crystals.In a landmark paper by San Sebastian and co-workers, a paramagnetic metal−organic framework, composed of Dy(III)tartrate, showed near-ideal spin-filtering capabilities (∼100%) and spin polarization in the charge transport persisting over 1 μm length scales. 204The remarkable performance was attributed to the large spin−orbit coupling of the Dy(III) lanthanides in tandem with the helicity of the metal−organic framework along multiple crystallographic directions, leading to multichannel spin-selective electron transmission.A similar behavior has also been observed in 300 nm thick Cu(II)phenyl alanine crystals, with mc-AFM measured polarizations up to ∼68%. 205Notably, these crystals display a transition from antiferromagnetic to ferromagnetic at 50 K that was explained by the emergence of a low-lying thermally populated ferromagnetic state, which arises from interactions among Cu(II) species mediated by the chiral lattice.Newer work on Co(II)-phenylalanine crystals reports polarizations of 35−45%. 206ircular Dichroism (CD) as a Predictor.Comparisons between Cu(II)phenylalanine and Cu(II)pentafluoro-phenylalanine crystals show that the circular dichroism response of the crystal is a good predictor for the sign of the spin polarization, rather than the structural enantiomorph. 205This finding corroborates such correlations reported in nanomaterials, molecules, and supramolecular assemblies.

Summary
The diversity of chiral molecules, molecular assemblies, and materials support the notion that CISS arises from an underlying relationship between electron spin and chiral matter that manifests because of the chiral symmetry.The knowledge amassed from the numerous experiments is defining the criteria necessary for maximizing the CISS-response in a given system and researchers are already using them to realize spin polarization magnitudes in excess of 99%. 195,204The knowledge gained from experiments like those described in Sections 3 and 4 is necessary for understanding CISS and developing a comprehensive theory for CISS-based phenomena.

GENERAL TRENDS AND STRUCTURE−PROPERTY RELATIONSHIPS
Although a quantitatively accurate mechanism for describing the CISS effect has yet to be identified, experimental work has begun to identify structure−property relationships for chiral molecules and materials that must be accounted for by a comprehensive theory.In this section we overview the different trends observed in experiments, comment on their pervasiveness, and identify important questions that must be addressed for continued progress in the field.

Length Dependence
For CISS, the most well-studied trend is the relationship between the length through which an electron traverses and the resulting spin polarization of its charge current.Systematic studies of DNA and oligopeptides, using a range of different techniques (photoemission spectroscopy, mc-AFM, electrochemistry, and Hall device measurements), show that spinfiltering of the charge currents increases monotonically with the length of the molecules. 10,12,15,74,104,207Most studies in molecular films and assemblies have been limited to a few tens of nanometers or less, however.For example, Mishra et al. examined the correlation between the length dependence of the optical activity and the spin-filtering performance of oligopeptides and DNA for film thicknesses <15 nm. 104Recently, Clever et al. analyzed CISS data on DNA and oligopeptides and found that the trend of increasing polarization with increasing length was consistent among independent studies, even though the absolute magnitude of the reported polarizations varied. 43The increase in spin-filtering performance per nucleobase in the case of DNA and per amino acid in the case of peptides are different, however.
In addition to these studies on molecular systems, studies on chiral organic−inorganic perovskite films 168 and studies through different thicknesses of chiral polymer films 150 display an increase in spin polarization for thin films and then plateaus at large film thickness.Although it seems likely that phonons and structural imperfections in molecular assemblies would reduce the spin polarization above a certain length, recent experiments on the spin filtering of electron currents through chiral polymer films indicate that the spin polarization does not decrease strongly with increasing film thickness.Figure 11 shows electropolymerized chiral films of poly(2-vinylpyridine) in which the spin polarization increases monotonically up to a thickness of ∼120 nm, even though the chiral polymer strands in the film are disordered with respect to each other.

Effect of Chirality Type
Molecules manifest chirality through stereoisomerism, which includes planar chirality, axial chirality and/or helical chirality, and point chirality, which arises through dissymmetry in bond connectivity about an atomic center (typically carbon).Although CISS manifests for all of the chiral types, responses for axial or helical chirality appear to dominate over others in organic systems.For instance, mc-AFM measurements on single-stranded DNA yields no discernible spin polarization, whereas polarizations as high as 57% were found for doublestranded DNA. 10 Similarly, Stremer et al. introduced a Hg chelating unit to single-stranded DNA, which creates a chiral secondary structure, and observed the emergence of a spin polarization. 31The effect of helical structure on spin polarization was also observed for peptide-nucleic acids (PNAs).PNA with modified backbones, in which the monomer units become chiral, create helices with a shorter pitch length and result in higher spin polarizations than their unmodified counterparts. 40hese studies also imply that point and structural chirality of a material may be synergistic.Possible evidence of this synergy is shown by measurements on B-DNA, for which the helix and the stereocenters along the backbone are both right-handed.B-DNA exhibits larger spin polarizations than do measurements on Z-DNA, for which the helix is left-handed and the stereocenters along the backbone are still right-handed. 102nfortunately, the helicity of B-DNA and Z-DNA is different and so a clear distinction on the underlying mechanism cannot yet be made.Also the effect of helicity on spin polarization was shown for a series of peptides that were systematically altered through amino acid substitution at fixed oligopeptide length. 43ere, the spin polarization increased sequentially with the increased helical content of the peptide.Because of the similar composition between peptides, this system is ideal for exploring the relationship between helicity and differences in length dependence on spin polarization.

CISS Manifests for Individual Molecules
Although most studies of CISS have been performed on organized assemblies or ensembles, a few experiments show that CISS manifests for single molecules.Xie et al. used mc-AFM measurements of an assembly comprising ferromagnetic electrode/DNA duplex/Au nanoparticle molecular junctions to probe the spin-filtered current transmitted by the DNA duplexes. 10While these studies do not unequivocally show that the spin-filtering is a single molecule process, they do show that spin-filtering can occur through a few molecules, at most.In other work, Diez-Perez and co-workers used STM-break junction experiments to study spin-filtered electron currents through peptides and found that the sign of the spin polarization changes with the chirality of the molecules. 11,208While these studies demonstrate that the spin-filtered currents manifest for single molecules, the interpretation of the data require that one include some spin-filtering from the ferromagnet-molecule interface.
In a recent tour-de-force study, Guo and co-workers used single molecule junctions and their CISS response to monitor chiral symmetry breaking in real time for a chemical reaction. 209Here, Ni/Al 2 O 3 /graphene/single molecule/graphene/Cr/Au molecular junctions were used to monitor the spin-filtered steady-state electron currents.They measured the spin-dependent electron current through the molecular junction while it was exposed to reaction conditions for the addition of a 1,3-dicarbonyl to the maleimide functionality.The spin-polarized electron current reported on the chirality of the molecule as it underwent reaction.These studies demonstrate the single molecule nature of CISS and a new approach for probing chiral symmetry breaking during chemical reactions.

Organization Effects on CISS
Control over the structural organization of chiral materials relative to the propagation direction of the electron is pivotal for maximizing the electron spin filtering.This principle is evident in many studies and was even apparent in early work that showed strong spin-filtering in organized molecular films but weak-to-no spin-filtering in disordered and/or impure films.In addition to this general observation, the sense of the spin filtering has been shown to change with the orientation of chiral helices at surfaces and with the alignment of the helical axis to the electron propagation direction.These effects are also evident for investigations into the enantiospecific interaction of chiral molecules with ferromagnetic surfaces (see Section 6.2).
4.4.1.Orientation.Carmeli et al. were the first to show that the sense of the spin selectivity changes with the orientation of chiral molecules on a surface.Using poly-D-alanine, they showed that the photoelectron intensity was higher (lower) for right (left) circularly polarized excitation when it was attached to the surface through the C-terminus; however, the opposite was true when attached via the N-terminus. 8,44Corresponding contact potential difference measurements showed that the dipole direction of polyalanine assemblies depend on the terminus containing the cysteine linker group, implying a relationship between spin polarization and the molecular dipole direction.In a different study a similar phenomenon was observed; mc-AFM measurements on peptides assembled through the N-terminus and C-terminus gave opposite polarizations. 43.4.2.Alignment.The alignment of the electron spin in relation to the chiral axis of a molecule is another important variable which should be optimized to maximize the CISS response.Using STM measurements, Nguyen et al. reported weaker spin polarizations (∼60%) for chiral polyalanine clusters than for self-assembled polyalanine layers (∼75%).113 This phenomenon was clearly demonstrated in Kelvin probe measurements of Ala-Aib oligopeptides assembled on tapered Co/Au substrates, where the coercivity and easy-axis of the magnetic cobalt layer is thickness dependent.19 The magnitude of contact potential difference measurements, associated with spin-dependent changes in electron delocalization into/out of the chiral molecules, correlated with the Co film's easy-axis.
Note that the sensitivity of spin-polarized electron transport on the orientation and alignment complicates comparisons of spin-filtering for different molecule types.For example, do the differences in spin-filtered currents between oligopeptides and DNA arise from intrinsic molecular differences or from differences in their tilt-angles relative to the electron current direction?Experiments show that heterogeneity or structural disorder can decrease the CISS response, or even result in a null response, as shown in ref 23, and must be considered when interpreting experiments.Indeed, some of the largest reported spin polarizations are for comparatively rigid well-defined constructs not susceptible to the same types of disorder found in organic molecule self-assemblies, e.g., metal−organic frameworks (>99%), 204 bulk crystals (>70%), 205 metal halides (>90%), 170,175 and perovskites (>90%). 168,172,173Further evidence corroborating this idea is shown for metal oxides in which films fabricated through electrodeposition techniques, possessing ill-defined crystallinity, exhibit worse polarizations (ca.10−25%) 39,41,192 than that of metal oxides formed through atomic and molecular layer codeposition techniques (>99%). 195

Conduction Mechanism and CISS
Spin-filtering of electron currents through chiral molecules and chiral materials manifests despite large apparent differences in electron conduction mechanisms.For example, the electron transport in photoemission experiments proceeds largely by free particle motion (a few eV or less above the vacuum level) through chiral films, albeit with some scattering possible, whereas electron tunneling measurements on insulating films of the same chiral molecules display similar polarizations for the spin-filtered currents. 15Moreover, researchers report spinfiltered electron currents through insulating, metallic, and semiconductor materials which possess widely disparate transport mechanisms.This diversity suggests that different detailed mechanisms may be required to describe the spin-filtered electron currents in each case, but that they originate from attributes associated with the chiral symmetry.

Spin−Orbit Coupling and Interface Effects
Spin−orbit coupling (SOC) has been used to explain the emergence of spin selectivity in chiral materials 5,13 and forms the basis of early theoretical approaches to CISS; 210−213 however, experiments give conflicting results.For instance, Rosenberg et al. showed that the electron spin polarization decreases at higher kinetic energies, 103 in agreement with theoretical predictions. 212onversely, photoemission-based transmission experiments through ssDNA, with Hg 2+ incorporation to form a chiral secondary structure, did not show a correlation between the amount of Hg 2+ and the magnitude of asymmetry in spindependent scattering through the layer. 31While it is possible that a correlation with Hg 2+ loading was below the sensitivity of the measurement technique employed, it is also possible that chelation of Hg 2+ did not form an inherently chiral complex and therefore the global secondary structure of DNA alone determined the asymmetry in spin-dependent scattering.Changing the SOC of the substrate does not appear to be a viable strategy for probing the role of SOC in photoemission, as Mott polarimetry experiments on helicene coated Cu (332), Ag (111), and Au (110) gave slightly different spin polarizations, but differences in binding to the different substrates may have clouded any discernible trends with SOC. 28To further understand the role of SOC in CISS, more detailed experiments are required that systematically tailor the SOC without introducing other features known to contribute to the spin selectivity.Theoretical studies have shown how orbital-overlap and hydrogen bonding networks can alter SOC 214 so studies should exclude structural dependent changes when assessing the role of SOC.Moreover, experiments on metallopeptides showed that incorporation of Tb 3+ resulted in higher spin polarizations than analogous measurements incorporating the heavier lanthanide, Yb 3+ . 122The lack of correlation with SOC were attributed to differences in magnetic properties of the lanthanides, paramagnetic vs diamagnetic, superseding the effect of SOC.Differentiating SOC effects from that of other features that can change the CISS-response is challenging.

Temperature Dependence
A distinguishing feature of CISS, in contrast to other modalities for generating spin-filtered currents, is its robustness at ambient temperatures, and a broad understanding of the CISS temperature dependence, or lack thereof, may prove important for understanding its mechanism.In several early magnetoresistance measurements, the CISS-response for devices composed of both organic and inorganic chiral materials appeared to be invariant with temperature. 121,130,163The behavior was surprising because it contrasts with traditional giant magnetoresistance-type devices which show a general trend of increasing magnetoresistance with decreasing temperature. 215,216In other works, chiral dipeptide-coated carbon nanotube networks exhibited a decrease in magnetoresistance asymmetry with increasing temperature and a null response at temperatures >50 K. 217,218 The magnetoresistance response for these studies, however, was convoluted.At low temperatures both spin-dependent, e.g., CISS, and spin-independent processes occur.At elevated temperatures the electrons begin to conduct through thermionic emission, a non-spin-selective process.In 2017, a similar series of temperature-dependent magnetoresistance measurements were made for assemblies comprising bacteriorhodopsin, and the magnetoresistance was found to increase with increasing temperature. 137the findings on bacteriorhodopsin measurements were corroborated in later works on azurin, oligopeptides, Pb-phthalocyanine complexes, and DNA. 52,142,161While temperature-induced conformational changes of materials are known to affect the CISS-response, 67 the cause for discrepancies among the magnetoresistance measurements is currently unknown.It is important to note that some of the prevailing theories on CISS implicate vibronic contributions to the spin selectivity and therefore suggest that an increase in temperature should increase the spin polarization. 52,142,219,220 recent report by Qian et al. on the spin-polarized conductance through chiral molecular intercalation superlattices, chiral TMDs, may offer some explanation for why different behavior is observed. 182In their study the average conductance, G(T), through chiral TMDs was attributed to both spin-independent, G SI (T), and spin-dependent, G SI (T), contributions such that where G SI (T) was consistent with a thermally activated hopping process, proportional to e 1/T , and G S (T) was modeled to be proportional to G T P 1 P 2 , where G T is the elastic direct tunnelling process and is only weakly temperature dependent, P 1 is the polarization of the ferromagnet and is proportional to (1 − αT 3/2 ) in which α is a spin-wave parameter of the material that is temperature-independent, and P 2 is the spin selectivity of the chiral layers and attributed to electron−phonon interactions.At low temperatures P 2 was found to dominate and the G S increased with increasing temperature.Conversely, at high temperatures where P 2 no longer changes with temperature, P 1 dominates and an inverse power law on G S with temperature was observed.The complex nature of the system in the above example illustrates how features other than CISS, such as the polarization of the ferromagnetic "analyzer" and inherent spinindependent conductance of the material, can affect the temperature dependence observed for a given system.Moreover, these results suggest that experiments probing the temperature dependence over a narrow regime may paint an incomplete picture of temperature effects.

Circular Dichroism as a Predictor of CISS
Several research groups have used the circular dichroism properties of chiral materials as a figure-of-merit for the CISS response.This was initially demonstrated for donor-bridgeacceptor nanoparticle dyads in which the acceptor nanoparticle's ligand shell was systematically varied to control the chiral imprinting on the nanoparticle's density-of-states. 82The magnitude of the electron transport asymmetry, with clockwise and counterclockwise excitation, was found to scale proportionally with the circular dichroism intensity of the nanoparticle's first excitonic transition.Similar behavior has been observed in experiments on polymers, 129 oligopeptides, 43 and naphthalene derivatives 207 where changes in the helicity of the system were reflected in the circular dichroism strength and the spin polarization.Intuitively, a correlation between a material's chiroptical properties and the material's propensity to act as a spin filter seems sensible�the larger the dissymmetry factor, the larger the expected spin polarization.
Structural and organizational features strongly influence the sign and magnitude of the CISS response, and they need to be considered.For instance, studies on the adsorption kinetics of L- cysteine on magnetized ferromagnetic surfaces (North vs South) show a range of asymmetries in the adsorption rate with the magnetization direction (see Figure 14). 23,221Whether the asymmetry is positive, negative, or nil can depend strongly on the pH of the solution, despite the Cotton effects remaining mostly unchanged in situ.For this case, cysteine's adsorption is known to change its tilt angle and dipole direction with pH and this must be taken into account for interpreting the data quantitatively.Such an assessment was recently used for explaining Hall measurements on some amino acids and so far appears to hold. 43Moreover, other studies show that using the CD for the relevant transitions, i.e., those associated with the interacting moiety, provides robust qualitative relationships between the sign of the CD and the resulting polarization. 222

Relationship between CISS and Magnetic Properties
Spin exchange interactions in chiral materials give rise to new magnetic properties.For example, materials have been found in which the ferromagnetism increases with temperature for a given temperature range, and current-induced ferromagnetism has been observed in chiral crystals that contain paramagnetic atoms. 205Another interesting finding is the conversion of superparamagnetic nanoparticles to ferromagnetic ones at room temperature, by adsorbing them on a monolayer film of chiral molecules. 92These findings indicate that interesting new multiferroic properties may emerge when combining chirality with ferroic materials.
A range of works show that transient charge redistribution in chiral molecules produces a spin polarization that acts as a magnetization.Such a behavior forms the basis of the Hall response (Section 2.3.1), 20,118magneto-optic Kerr signals 97,112,160 in chiral composites (Section 2.4.3), and imprinting of magnetization on ferromagnetic substrates (Section 2.3.2). 50,92,223 The handedness of the chiral molecules and their orientation on the surface control the magnetization direction. 57,112The magnetic properties of the individual components that comprise larger architectures are also thought to influence the CISS-response; itinerant electron spins in chiral inorganic crystals are hypothesized to give rise to the long-range transport of spin polarization. 198,199In other works, ferrimagnetism was found in chiral organic donor−acceptor crystals and was attributed to the chirality-dependent spin polarization. 224he inherent magnetic properties of metal oxides, can also supplant or suppress the spin polarization as was shown for chiral ferrimagnetic Fe 3 O 4 and γ-Fe 2 O 3 nanoflakes, 95 as well as NiFe 2 O 4 mesostructured films. 225ow does CISS influence the magnetic properties of a material?Because chiral materials create spin-polarized electron populations, either during transport or through displacement currents arising from electron density changes, adjacent materials and/or orbitals can accumulate spin density.Identifying what states, however, is a complicated task.Millo and co-workers showed that the adsorption of helical molecules on NbSe 2 −Au junctions resulted in new low-energy spinpolarized bound states, similar to Yu-Shiba-Rusinov states, that change in density, but not bias potential, with applied magnetic fields. 119Proximity effects associated with these magnetic defect-like states in relation to superconducting properties is explored in several works; 226−229 and a similar mechanism, chirality-induced formation of new states, has been used to describe current-induced magnetization in chiral Cu(II)phenyl alanine crystals. 205How prevalent these states are among chiral materials and their assemblies has not yet been determined.
The role of exchange interactions on the magnetic response, and subsequent spin polarization, have also been explored. 230hile CISS-associated proximity effects are expected to be a short-range phenomenon, 228 exchange interactions can occur across larger length scales and are thought to form the foundation for enantioselective processes between chiral molecules and magnetized ferromagnetic surfaces (see Section 6.2). 21The robust nature of exchange interactions in CISS was recently shown by Ziv et al. in which the surface spin polarization of a chiral molecule coated AFM tip was used as a substitute for magnetic tips in magnetic force microscopy. 78In what way the resulting spin polarization is affected, however, is hard to define.In other works, studies point to exchange interactions affecting the tilt angle between chiral molecule SAMs and an applied magnetization axis, 99,114 the organization of cellulose crystals, 231 and the stability of proteins. 232

THEORETICAL UNDERSTANDING
Since its discovery, many researchers have considered CISS to be a "theoretical mystery".While CISS has a firm basis from symmetry considerations, 233,234 the magnitude of the effect and some of its novel manifestations challenge conventional wisdom. 51For example, CISS manifests in closed shell organic and biologically relevant molecules with low atomic number nuclei, whereas spin properties are commonly believed to only be important for systems with unpaired electrons and/or systems with large spin−orbit coupling (SOC).In addition, the effect is order(s) of magnitude larger in the experiment than what one calculates with simple single electron models.The temperature dependence is also surprising as Zeeman energy splittings are typically small, one expects that spin-related properties will decrease with increasing temperature, whereas CISS appears to be activated, at least in some cases.In addition, spin-dependent transport properties are observed commonly with two contact electrical configurations, which appears to violate Onsager's reciprocity. 14Moreover, recent experiments show that charge polarization-induced spin polarization, which is a dynamical response, can be used to create metastable magnetic states. 99That is, the interaction of chiral molecules with a magnetic substrate is enantiospecific and can align the spins in the substrate, e.g., induce ferromagnetism in a paramagnet.

Early Models for CISS
The initial theoretical approaches can be divided into two main classes.In the first, the Hamiltonian possesses chiral symmetry and the spin−orbit coupling is treated as a parameter.These calculations show spin-dependent transport; however, the magnitude of the spin polarization is small even when the SOC is much larger than that known for hydrocarbons.The second class of approaches assume that spin selectivity arises primarily from the chiral molecule/substrate interface, or "spinterface".

SOC and Orbital Models.
Simplified models that account for spin−orbit coupling (SOC) in describing the electron motion have recently been reviewed, see refs 14 and 235.Although scattering models produce spin filtering, the spin polarization magnitudes are too low. 236By re-examining the origins of SOC from the Dirac equation, workers have identified a geometric SOC, which scales with the first power of the electron mass rather than the second power, and gives rise to significantly higher magnitudes for nanoscale helices than what one might expect by considering the traditional atomic SOC. 237his geometric SOC has been used to model chirality-induced spin transport in chiral hybrid organic−inorganic perovskites. 238cattering models can help build an intuition for CISS.Consider a thought experiment in which an electron is incident on a gold surface at some angle, a Mott scattering experiment.After striking the Au surface, the electron's scattering angle depends on the direction of its spin angular momentum relative to the surface.The event is analogous to the classical picture of a spinning disc, Frisbee, scattering from a wall for which the scattering angle depends on whether the Frisbee is rotating clockwise or anticlockwise.Hence, if a detector for electrons is placed at a given angle relative to the surface normal, this detector will detect preferentially electrons with one spin.The ability to detect spin is a result of breaking the space inversion symmetry, by having the gold surface located either to the right or to the left of the electron source.The other necessary condition is the SOC, which couples the orbital angular momentum of the electron (relative to the gold surface normal) and its spin.Together, these two properties behave as an effective magnetic field. 239A chiral system breaks space inversion symmetry and if it has SOC, then it behaves like a Mott scatterer.Hence, counter to some claims, 240 it is possible to measure the spin selectivity of a chiral system by a two point contact method. 145.1.2.Spinterface Models.−244 First proposed by Gersten et al., 245 this approach has recently been developed by Liu et al,. 242−249 In these models the substrate's SOC, which can be much higher than that of a typical organic molecule, converts orbital angular momentum, arising from the electron motion through a chiral molecule, into spin angular momentum.In this picture the molecule is an orbital filter and the transmission through the interface generates the spin selection.Given that photoemission experiments for helicene monolayers on Cu (332), Ag (111), and Au(110) substrates do not display large differences in spin polarizations, despite their quite different SOCs, 28 this mechanism is unlikely to apply to electron transmission above the barrier.For conduction measurements, however, this phenomenon may be a contributor to the overall spin filtering.A recent report by Xiong and coworkers examined chiral molecule spin valves with two different metals (Au and Al) and two different molecules.They report significant differences in the polarization of the conductance between these systems, both between the two metals with the same molecule and between the two molecules for the same metal. 250Together, these findings indicate that both the molecule and the spinterface are important to consider.
Although the spin is not necessarily a "good" quantum number for an electron moving through a chiral potential, especially if SOC exists, it is still valid to ask whether the chiral molecule selects for spin or orbital angular momentum.Clear evidence for spin selection is provided by EPR studies, 72 in particular recent published work that identifies spin polarization. 91In addition to the photoemission studies described above, other experiments point to spin being selected.The anomalous Hall effect studies indicate that spins are injected from the adsorbed molecule into the Hall device.The same is true in the case of the Hanle effect studies (see Section 2.2.5).The interaction of chiral molecules with ferromagnetic materials and the ability to induce magnetization by adsorbing chiral molecules, all support the "spin selection" concept.
Despite their limitations, simplified models can provide useful insights into CISS and molecular properties. 251,252By way of example, recent work by Mujica uses an "electron on a helix" model to explore the relationship between circular dichroism and CISS.They find a clear correlation between the spinpolarized electronic response and the circular dichroism of the helix, suggesting a deep connection of CISS-based phenomena and chiro-optical phenomena through the electronic properties of chiral matter. 252

Essential Features of a CISS Theory
A comprehensive theory for CISS may require that we abandon the Born−Oppenheimer (BO) approximation, which is commonly used in models and calculations.When an electron propagates through a molecule in a path that is not linear, it must exchange angular momentum with the molecular system.If the system is metallic and a band structure exists, the momentum exchange can occur with the delocalized electrons in the system.For molecules, however, the electrons are typically localized so that changing their momentum requires high energy or mixing through excited states.In contrast, a transiting electron can exchange momentum with low frequency vibrations (phonons) without the need for high order perturbations.In chiral systems, an electron transiting through a helical electrostatic potential, can exchange angular momentum with the molecule through interaction with low frequency vibrations that carry angular momentum, i.e., chiral vibrations.This process can manifest in an accumulation of Berry phase for the passing electron.−258 Clearly the SOC terms under the non-BO conditions are much larger, and interestingly they contain the spin-exchange interaction that has a very large value, on the order of 1 eV, for molecules.In general, it seems that any quantitatively accurate CISS model should include non-Born−Oppenheimer effects.
Recent models, which treat the CISS effect beyond the "single electron model", provide new insights and correspond better with experimental observations. 52,259These models imply that the role of electron-vibrational coupling (or polarons) 52,220,260−268 and electron−electron interactions 219 will be essential for explaining CISS.At present it seems that the solution for the large effective SOC should arise from electron− phonon and electron−electron interactions.Recent measurements on the temperature dependence of spin filtering have motivated a number of different theory groups to explore the role of electron−phonon coupling in CISS.As the features needed to describe CISS adequately coalesce, the development of ab initio calculation methods is becoming possible, albeit daunting.Even qualitative models should include the chiral molecule's magnetoelectric polarizability and its dependence on electron-vibration interactions, as well as electron−electron interactions when delocalized electrons, like in aromatic or highly degenerate systems, are involved.

Chiral Molecule Interactions and Ferromagnets
Numerous experimental observations show that chiral molecules interact enantiospecifically with magnetized surfaces and that chiral molecules can imprint magnetization onto ferromagnets.−274 Cuniberti and co-workers used spinpolarized DFT to examine the spin-dependent DOS at molecule-ferromagnet interfaces and showed that the interfacial states are locally spin-polarized but remain singlet states globally, i.e., broken spin symmetry manifests at chiral moleculeferromagnet substrate interfaces. 230−272 The imprinting of magnetization on a substrate by chiral molecules and charge polarization-induced spin polarization implies that intermolecular forces between chiral molecules ought to be spin dependent.Although recent experimental studies support this inference (see Sections 2.3.3,2.4.2, and 6.4.3), more experimental work is needed to elucidate this phenomenon more fully.Theoretical interest in this aspect of CISS is growing.In early work, Kumar et al. performed DFT calculations of the interaction energy between methyl groups of interacting chiral molecules and found a chirality and spindependent interaction energy of about 5 kJ/mol at a 2.5 Å carbon−carbon distance. 20Geyer et al. have extended these ideas by constructing a model for London dispersion forces that includes intermolecular spin−orbit coupling, i.e., charge fluctuations on one molecule induce spin fluctuations in a nearby molecule. 273Recently, however, Hedegård has critically evaluated spin-dependent charge reorganization for molecules interacting through dipole−dipole fluctuations, and finds that the spin-polarization they manifest is quite small. 274This latter work implies that coupling to a bath and/or vibrational degrees of freedom are needed to explain the magnitude of the effect reported experimentally.This area represents an important frontier in CISS research and could have important implications for enantioselective chemical and biochemical processes.

Open Issues
Many questions, beyond quantitative agreement with experiment and the origin of the large effective SOC, can be posed.
1. Does CISS select electron spin or, more generally, an electron's total angular momentum?
2. What is the relation between optical activity and CISS?Are there other "predictors" for CISS, e.g., a molecule's frequency-dependent magnetoelectric polarizability?3. Does the CISS mechanism change as the mode of conductance (insulators, metals, etc.) in a material changes?If so, how and why? 4. What is the temperature dependence of CISS in different systems? 5. What can theory teach us about the role of entanglement and coherence in CISS?

PREVALENCE OF CISS AND CISS IMPLICATIONS
The electron spin often plays a supporting role to the electron charge in science and technology.Even the first electronic computers used the electron charge for memory storage.While the electron spin plays an essential role in chemistry, it is often more of a "book-keeping device" (application of Pauli exclusion) because magnetic interaction strengths are commonly much smaller than Coulomb energies.The discovery of CISS, which is robust at ambient temperatures and manifests for a wide range of systems and environments, opens new possibilities for ascertaining the benefits of spin control in technologies and requires that we reexamine our assumptions about the electron spin's importance in chemistry and biology.In this section, we discuss applications and implications of CISS for spintronics, chemical separations, chemical reactions, and molecular biology.

Spintronic Applications
The CISS effect offers a new approach for fabricating simple and efficient spintronic devices. 275,276The ultimate goal of "spintronics", short for "spin electronics," is to develop new technologies based on the transport of electron spin, with the hope that they will have advantages over conventional chargebased electronics, such as lower power dissipation. 277To date, spintronics developments have impacted computer memory technology, both in terms of hard-disk capacity and of nonvolatile magnetic random-access memory. 278,279−285 This fact is limiting because the minimum size of ferromagnetic domains is constrained by the ferromagnetic-superparamagnetic transition occurring in materials, typically on length scales of tens of nanometers or larger.Chiral materials, or chiral molecules, in which spin polarizations can approach 100%, 195,204 offer the opportunity to make ultrasmall (molecule scale) and efficient spin filters and spin injectors. 46,276Below, we discuss some CISS-based analogues to existing spintronic device structures and phenomena.6.1.1.Spintronic CISS Devices.Two common spintronic technologies, which are used today, are magnetic tunnel junctions 286,287 and spin transfer torque memory. 288,289In both, the spin polarization is performed by inorganic spin filters.In the magnetic tunnel junction/spin−valve memory, a fixed magnetized layer is separated from a second free magnetic layer by a thin isolating layer.The free layer can be magnetized either parallel or antiparallel to the magnetization of the fixed layer and the measured resistance depends on the relative orientations of the magnetization in the two ferromagnetic layers.Despite their attractiveness, these devices suffer from a number of drawbacks, 290−292 including the minimum ferromagnetic domain size and impedance mismatch between metals and high-resistivity materials. 293Also, spin transfer torque memory requires high write currents, ca. 10 6 A/cm 2 . 294Although new methods, such as spin−orbit torque magnetic random-access memory, 295 are being explored, they make production more complicated.In contrast, CISS-based devices do not require a ferromagnetic layer to produce spin current, because the chiral layer produces a very high spin polarization. 46,168,276,296The CISS effect has been used to generate 10−30 nm ferromagnetic domains (see Figure 12). 297These devices operate many orders of magnitude more efficiently than standard spin torque transfer memories and are straightforward to fabricate, replacing one of the magnetic layers by a chiral film.
6.1.1.1.Spin Valves.The simplest CISS-based spintronic devices are spin valves that are controlled by an external magnetic field. 298While they are simple to fabricate and present a two-level resistance behavior, they are hard to control locally because switching between states is achieved by the field. 50,121In organic spin valve devices, spin polarizations of more than 95% have been measured for conductive and paramagnetic crystalline 3-D metal−organic frameworks (MOFs), based on Dy(III) and L-tartrate chiral ligands. 204A major breakthrough was the finding that thin metal oxide films (oxides of aluminum, 195 cobalt, 192,299 and copper 41 ) can be made chiral and they display CISS-based spin filtering.These materials can be integrated with conventional microelectronic technologies and become part of CISS based spintronics devices.Using 5 nm thick chiral oxides CISSbased spin-valve devices were developed that are compatible Figure 12.SEM image of a single magnetic nanoparticle spintronic device.Because of its CISS properties, the active memory device, which is about 30 nm in size, presents a memristor-like nonlinear logic operation at low voltages under ambient conditions.Inset: The active memory is the 30 nm magnetic quantum dot covered with chiral molecules that is located between the two gold electrodees.Unpublished work.
with integrated circuits technology and display high spin polarization (close to 100%). 195ecause charge polarization in a chiral potential is accompanied by spin polarization, films of chiral molecules are intrinsically multiferroic and promise the ability to locally control their magnetization with a locally applied voltage.In fact, self-assembled peptide films have been shown to generate a local magnetization at room-temperature that depends on the sign of the applied voltage, 20,77 creating localized magnetic fields on the order of 100 Oe at room temperature solely by applying a small gate voltage (∼0.1 V).The magnetization is believed to arise from spin-polarized charge density that is created at the substrate-chiral molecule boundary because of charge polarization of the organic molecules.Such devices offer the promise of electric field control over the magnetization locally.Although the switching rate of existing devices is low, in the megahertz range, their time response could be improved by miniaturization and device designs that make the charge displacement currents coherent.
6.1.1.2.Spin Memristors.A primary challenge for reducing the dimensions of existing memristor spintronic devices is the requirement for high spin currents; however, the CISS effect provides a more efficient approach.A single nanoparticle, along with Au contacts and chiral molecules, is sufficient to function as a memory device.A single ferromagnetic nanoplatelet has been used as a fixed hard magnet, and the Au contacts act as soft magnets that result from chiral imprinting by the chiral molecules. 297The active memory device can be miniaturized from a micrometer scale to 30 nm in size.
A larger memristor device can be achieved using chiral metallo-bioorganic crystals, in which the memristor behavior depends on trapping of both charges and spins.In this case the crystal displays standard memristor behavior while the chiral symmetry and CISS provide additional control parameters. 300he spin transistor exhibits nonlinear drain-source currents, with multilevel controlled states generated by the magnetization of the source.Varying the source magnetization enables a sixlevel readout for the two-terminal device.
6.1.2.Spin-Optoelectronics. Optoelectronics refers to devices and systems in which light affects the electronic properties of materials and vice versa. 301,302−306 CISS enables new design elements for use in optical memory, electroluminescence, and detection of circularly polarized light.
6.1.2.1.Optical Switching.Optical gating opens the possibility to realize simple magnet-free spin valves operating under ambient conditions and controlled by photon absorption.Because of CISS, the spin-polarized photocurrent can drive spin accumulation and the emergence of photocontrolled magnetization.Such behavior has been shown to manifest in perovskites 97 and II-VI quantum dots. 118For instance, a ninestate readout was achieved by using a double quantum dot architecture, i.e., two different sized quantum dots, on the active area of a Ni-based Hall sensor. 167In addition, light driven changes in molecular configuration have been demonstrated for changing the spin polarization.−309 6.1.2.2.Circularly Polarized Electroluminescence.One approach to the improvement of a circularly polarized light emitting diode (CP-LED) efficiency is control over the spin degree of freedom of charge carriers, i.e., radiative recombination of spin-polarized carriers can produce circularly polarized light. 304,305CISS presents an exciting opportunity for circularly polarized electroluminescence because the typical components and complex architectures used for generating the spin-polarized carriers can be replaced with intrinsically chiral materials that act as spin filters.The concept of using CISS to generate the spinpolarized carriers for CP-LEDs was first demonstrated by Beard and co-workers, in which they leveraged the spin-filtering properties of 2D-perovskites to promote spin-polarized recombination in achiral perovskite nanocrystals with 2.6% circularly polarized electroluminescence (P CP-EL ) at room temperature. 171Note that, researchers have used a similar device geometry, i.e., a perovskite spin transport layer, with ZnS(CdSe) quantum dots as the recombination sites to create CP-LEDs. 310In subsequent studies, Ye et al. showed that core− shell perovskite nanoparticles, in which the core was achiral and the shell was chiral, achieves circularly polarized electroluminescence as well, with P CP-EL = 0.6% at room temperature. 311For this system the chiral shell acts as the spin-filter to inject spin-polarized carriers into the achiral core.Note that, CISS-mediated CP-LEDs are not limited to perovskite materials.In other work, Mustaqeem et al. used chiral metal− organic frameworks as the spin injection layer and an impressive P CP-EL was observed at ZnS(CdSe) core−shell recombination sites; ca.12.4% at room temperature. 312The large P CP-EL was attributed to enhanced spin-coherence lifetime of the charge carriers.

Circularly Polarized Light Detectors.
−318 While different device geometries for CPL detectors exist, 319−321 the general working principles are the same; namely, a photoactive layer that responds differently under incident left and right circularly polarized light is used to convert an optical signal into an electrical response.The anisotropy factor in circular dichroism, g CD , is thus considered a good proxy for determining the effectiveness of a photoactive material within a device.Quite surprisingly, however, the responsivity of hybrid organic− inorganic perovskite CPL detectors was found to greatly exceed that of g CD . 322,323The origin of the enhancement was initially attributed to the CISS effect, 322,324 and then later confirmed upon determining the spin-filtering properties of chiral perovskites.
The CISS-promoted CPL detection proceeds as follows: (i) excitation of the photoactive material with circularly polarized light, clockwise or counterclockwise, creates a spin-polarized electron−hole pair, "Up" or "Down", because of conservation of angular momentum 325,326 (ii) electron transport from the photoexcited material to the electrode exhibits differences in the resistivity for spin "Up" and spin "Down" carriers, owing to the CISS effect, 327,328 and (iii) the resistivity differences give rise to electrical responsivity differences in the device.−333 While the generalized mechanism holds for photodiode configurations, in which the charge carrier transport is out-of-plane, it is less clear what extent CISS contributes when charge transport is in-plane, e.g., a photoconductor configuration.Vardeny and co-workers argue that for 2D hybrid organic inorganic perovskites in-plane transport is dominated by Rashba splitting of the electronic bands, 179 because the CISS effect is maximized when transport occurs along the primary chirality axis of the material.Conversely, Wang and co-workers contend that CISS-generated spin transport still contributes to the response. 334Note that the electrical transport in a phototransistor is also in-plane; however, researchers have shown that a device architecture, which uses a heterojunction (a chiral hybrid organic−inorganic metal halide interfaced with single wall carbon nanotubes), displays CISS. 181.1.3.Superconducting Spintronics.−341 Whereas spin-singlet Cooper pair correlations oscillate rapidly in phase and decay over a very short length scale (of a few nm) in ferromagnetic materials, 342−346 spin-triplet pair correlations can propagate over much longer distances.These spin-triplet pairs carry a net spin polarization, hence the name "superconducting spintronics".These facts imply that superconductor/ferromagnetic/superconductor Josephson junctions constructed from conventional spin-singlet superconductors can support spin-polarized supercurrents through several tens of nanometers in a strong ferromagnetic material 347,348 and over many hundreds of nanometers through a "half-metallic ferromagnet", because of the absence of spin-flip scattering processes. 349,350The field of superconducting spintronics, in which two apparently competing notions of singlet-pairing superconductivity and spinpolarized currents are merged, is still in its infancy.To date, most devices consist of multiple sputtered or epitaxially grown ferromagnetic layers in contact with singlet, s-wave superconducting electrodes.
The CISS effect offers a new paradigm for superconducting spintronics, in which chiral molecules induce the required triplet-pair superconductivity, or assist in its formation when integrated within superconductor-ferromagnetic heterostructures.−360 The adsorption of chiral molecules on conventional singlet-pairing s-wave superconductors cause a change in the order parameter of the superconductor with signatures of triplet superconductivity, with either even-frequency p-wave or odd-frequency s-wave symmetries. 119,228,229,361,362In superconducting spintronics CISS can be utilized to manipulate the conventional s-wave Bardeen−Cooper−Schrieffer superconductors with total spin zero of the Cooper pairs to become an unconventional s or pwave spin-triplet triplet superconductors with nonzero total spin.Theoretical studies on ferromagnetic-superconductor and chiral molecule:superconductor hybrid systems have been reported also. 363.1.4.Quantum Spintronics.Chiral materials are continuing to garner attention for their importance to fundamental research in quantum matter.The high spin selectivity for nanometric chiral films should enable coherent transport, and the strong spin-exchange interactions of chiral molecules with magnetic substrates could lead to new ways of controlling spin polarization by electrical or optical gates. 364Experimental studies into the quantum nature and spin phase of CISS materials and CISS-based device structures can be probed by EPR methods, and maybe NMR experiments (see Section 2.4.2). 89 EPR experiments, which exploit a qubit as a highly sensitive and coherent magnetic sensor, may provide coherent signatures of an acceptor moiety's polarization. 88For example, subnanosecond photoinduced electron transfer in donor− acceptor DNA hairpin systems produced an entangled spin qubit (radical pair) at 85 K. 365 These results demonstrate that pulsed-EPR methods can be used to manipulate coherent spin states, which is essential for quantum gate operations.In other studies, optical excitation of chiral QD systems generates coherent delocalization and charge separation of the exciton on a short time scale. 120,366,367While a number of important basic science questions and technological obstacles remain, the above examples illustrate that chiral materials and structures are capable of generating quantum effects in realistic solid-state devices.
6.1.5.Future Directions.Hybrid chiral molecule−magnetic systems encapsulate the notion of molecular technology for the realization of spintronic and chiral spin−orbitronic device concepts, 368 such as local control over magnetic properties, as well as chiral spin structures and dynamics. 369his connection could bring together two separate fields, both exhibiting chiral symmetries, and lead to novel functionality, including control of chiral spin textures by chiral molecule adsorption, particularly in 2D magnets, where interfacial effects are maximized. 370,371hiral Magnetic Structures: Skyrmions.The combination of chiral structure with chiral magnetism, 296 which enables ultimately stable spin structures such as skyrmions, is potentially a key enabler for applications.On a fundamental science level, the interactions between chiral molecules and chiral magnetic systems are not well understood.Beyond the basic science, control over these interactions with electrical gates may lay the foundation for future applications, such as chiral magnetic devices.
Antiferromagnets.The use of antiferromagnets is an emerging memory technology, but is notoriously hard to control and read. 372To enhance information densities, it may be possible to combine the CISS effect with antiferromagnets so that magnetic bits do not repel each other and therefore can be densely packed. 373It may be possible to control chiral antiferromagnets using current through chiral oxide structures that filter the desired spin states.The readout of the device may be achieved in a standard two terminal device.
Local Magnetic Gradients.By combining electrical gating and imprinting of local magnetization at the domain size scale, one can create local magnetization profiles with large gradients.Realizing large magnetic-field gradients is important in magnetic resonance imaging and quantum control, 374 where the information is encoded via the magnetic-field gradient.
Integrating such skyrmion-based spintronic/orbitronic elements with chiral-induced triplet superconductors forming coherent interconnects may reduce heat dissipation in devices and thus help solve one of the major problems in data processing.
Photovoltaics.Efficient charge separation is a fundamental cornerstone of many photovoltaic and photochemical processes, such as artificial photosynthesis, photoelectrochemical water splitting, and solar fuel production.The CISS effect breaks the symmetry for electron and hole transport with a certain spin and can therefore be leveraged for improving charge separation.For instance, Peer et al. employed quantum dots (QDs) and helical monolayers of chiral L-polyalanine to develop a device that achieves efficient charge separation at sub-5 nm length scales without the need for doping. 120A related effect was measured in chiral diodes emitting circularly polarized light. 375It is important to note that drawing on these advances, efficient photovoltaics could be achieved if the challenge of extending chirality-driven charge separation would be extended to larger scales.The large distance achieved in photoinduced charge transfer processes mediated by chiral molecules 376 point to the potential of this approach.
Magnetoelectric Multiferroics.The development of magnetoelectric multiferroic materials is of great technological importance for advanced electronics applications. 377,378The field of "multiferroics" embodies materials that simultaneously exhibit two or more ferroic orderings, e.g., ferromagnetism, ferroelectricity, ferroelasticity, and ferrotoroidicity. 379The term "magnetoelectric" refers to the coupling between ferroelectric and magnetic order parameters; 380,381 more specifically, the tuning and switching of an electrical polarization in a material by an applied magnetic field is called a direct magnetoelectric effect, and the inverse behavior, tuning and switching of a magnetization with an applied electric field, is called the converse magnetoelectric effect. 382Multiple reports have shown emergent ferromagnetism 57,92 as well as ferroelectric properties 383−385 in chiral materials, with the latter proposed to occur through either a spin-polarized current mechanism 386 or inverse Dzyaloshinskii−Moriya interactions (DMI). 387,388Note that, while the relationship between DMI and CISS has not yet been fully explored, researchers suggest that the two phenomena could coexist constructively to increase spin polarizations in chiral materials. 39,389Because continued progress in magnetoelectric multiferroics necessitates new approaches for creating materials with tailored electronic and magnetic properties, a CISS-based approach could prove fruitful.

Enantioseparations/Enantiomeric Resolution
A significant contribution to the relation between magnetism and chirality was discovered by demonstrating an enantioselective interaction of chiral molecules with a magnetized substrate. 21The enantio-discrimination is mediated by a spinspecific interaction, not by the magnetic field itself.The spindependent charge reorganization observed in chiral molecules implies that the interaction between a chiral molecule and a magnetized surface should be enantiospecific.Consider a ferromagnetic metal that is magnetized along its surface normal so that the spin sub-bands of the conduction electrons are split in energy�presenting more filled orbitals of one spin direction and more empty orbitals of the other spin direction.Because of the metal's spin-dependent orbital population, the chemisorption or physisorption of a molecule depends on whether the molecule's orbitals have a preferred spin direction with respect to the metal.For example, the interaction energy for a molecule forming a chemisorption bond with a metal spin−orbital will depend on whether the spins are aligned antiparallel or parallel.For achiral molecules, the charge redistribution in the molecule as it approaches and binds to the surface is not spin-dependent and no apparent spin specificity is expected.Conversely, a chiral molecule approaching the surface undergoes a spin-dependent charge redistribution, which is enantiospecific, i.e., if the spin makeup in the orbital prefers antiparallel spins, one enantiomer will interact favorably; however, spin−spin repulsion will occur with the other enantiomer.
It is commonly assumed that recognition and discrimination of chirality, both in nature and in artificial systems, depends solely on charge and spatial effects, i.e., shape.However, the CISS effect correlates charge redistribution in chiral molecules with an enantiospecific electron spin orientation, so that magnetic surfaces should be enantiospecific when spin polarized.Ghosh et al. first showed the enantioselective interaction of chiral molecules with a ferromagnet that was magnetized perpendicular to its surface. 21Here, one enantiomer adsorbed preferentially when the magnetic dipole was pointing Up, whereas the other enantiomer adsorbed faster for the opposite magnetization orientation (see Figure 13).The interaction was not controlled by the magnetic field per se, but rather by the electron spin orientations.These studies illustrate the prospects for a new approach to enantiomeric separations.
6.2.1.Enantiospecific Adsorption.Quartz crystal microbalance measurements by Lu et al. show that the asymmetry in adsorption kinetics on North and South magnetized ferromagnetic electrodes is sensitive to the binding orientation. 23Figure 14a shows data in which the pH was systematically changed and the polarization in adsorption kinetics, P = (k ads,N ′ − k ads,S ′ )/ (k ads,N ′ + k ads,S ′ ), for L-cysteine (green) and D-cysteine (purple) was measured.Consider the case for L-cysteine: at pH 8, a large positive polarization (33%) was observed; however, increasing the pH to 8.56 caused a dramatic decrease in the polarization (−15%) before asymptotically approaching a zero polarization at even higher pH.The transition from high to low polarization occurs approximately at the pK a of the sulfur moiety on cysteine 390 and previous experiments have shown that this coincides with a change in molecular binding geometry. 391Large binding mode heterogeneity at high pH could explain why the polarization decreases to zero.Control experiments on n-acetyl L-cysteine methyl ester, in which the carboxylate and amine are protected and presumably do not interact with the substrate, do not show this same inversion in polarization with pH (see Figure 14b).In addition, recent DFT calculations indicate that adsorbate−solvent interactions may be important for defining the enantiospecificity in adsorption. 221The idea of geometric properties controlling spin selectivity could also be responsible for the differences observed in magneto-driven enantioselective crystallization of racemates (see section 6.2.2).Additional studies that determine the adsorbate geometry and preferential facet for crystal growth may contribute to a better understanding of enantioselective crystallization.
6.2.2.Crystallization.The spin-exchange interactions that define the preference of magnetized ferromagnetic surfaces for one enantiomer over the other can also be leveraged in crystallization processes for chiral resolution.It is possible to use magnetic surfaces to provide a chiral bias for enantiomer specific amino acid crystallization.Interestingly, studies show that L- glutamic acid, L-threonine, and D-asparagine preferentially crystallize on North magnetized ferromagnetic substrates despite the asparagine being the opposite enantiomeric form of glutamic acid and threonine. 392Racemic mixtures of asparagine and glutamic acid hydrochloride could thus be sorted into enantioenriched conglomerates through crystallization in a bath comprising North and South magnetized ferromagnetic substrates. 392Conversely, racemic mixtures of threonine could not be resolved under the initial solution conditions because twinning of the enantiomorphs occurs upon crystallization.These results highlight the limitations of the CISS-mediated crystallization approach to materials that form enantiopure crystallites.Despite the nonideal crystallization properties of threonine, improvements to the apparatus design and solution conditions led to an enantiomeric excess of ∼60% in subsequent studies. 393Note that the improved design has the added benefit of being applicable for bulk crystal separation through the continuous separation of chiral conglomerate crystals. 393In addition to asparagine, glutamic acid, and threonine, chiral resolutions of imeglimin and ribo-aminooxazoline have also been performed. 393,394.2.3.Future Directions.Because of the CISS effect, magnetic materials offer viable new strategies for enantioseparation; however, the commercialization of CISS-based separation systems will require large improvements in the enantioresolution.To this end a 2-fold approach must be taken.First, efforts must be made to understand and predict the spin-exchange interactions that dictate the enantiospecificity.As shown in EQCM measurements, 23,221 the exchange interactions will inevitably rely on molecule-dependent structural features that can change with solution and pH.Second, we must define design parameters to optimize and control, much like what has been done in traditional separation platforms, for efficient separations.Initial efforts have been undertaken in this regard for crystallization systems 393 and the groundwork for CISS-column chromatography is currently underway. 395ote that CISS separations need not be a standalone technology.For instance, the flow cell geometry used during the initial discovery of the effect, 21 can be coupled with existing flow cell apparatuses that rely on differences between homo and heterochiral materials for enantioseparation.Indeed, studies show that CISS operates in these conditions and can be as strong, if not stronger than, the stereoisomeric interactions. 116,222

Chemical Reactions
Electron spin plays a critical role in chemical bonding, and the manipulation of spin in reactive processes by the CISS effect offers a new strategy for controlling reaction pathways.This promise has been demonstrated for water electrolysis with chiral electrocatalysts (see Section 6.3.1), and it offers a general strategy for improving selectivity in reaction mechanisms that involve intermediates of different spin multiplicity.More than this, CISS implies that the electron spin is coupled to the molecular frame of a chiral molecule (or material) and affords an ability to translate control over the electron spin into control over enantioselectivity.We discuss the initial steps along this pathway in Section 6.3.2.Realization of CISS in chemical reactions is driving a paradigm shift in how we view chemical synthesis.

CISS Enhances Efficiency of O 2
Reactions.CISS can improve the efficiency of the oxygen evolution reaction (OER) and oxygen reduction reaction (ORR), which remain important bottlenecks for numerous electrocatalytic and electrochemical processes, including water electrolysis, 396 exchange membranes for batteries and fuel cells, 397−401 and the electrochemical reduction of CO 2 , 402,403 among others. 404.3.1.1.Oxygen Evolution Reaction (OER).The first work to improve the efficacy of the OER with CISS used photoanodes comprising quantum dots assembled on chiral molecules to lower the overpotential for the OER and to generate larger quantities of hydrogen at the cathode than analogous photoanodes coated with shorter chain achiral molecules. 405The effect was attributed to the spin polarization on the photoanode favoring the ground state formation of triplet oxygen O 2 ( 3 ∑ g − ) and these findings were later corroborated with photoanodes comprising conductive polymers. 145In subsequent studies with helically aggregated dye molecules 158 additional features of spin polarization on the characteristics of water splitting became apparent; not only was spin polarization responsible for decreasing the reaction overpotential for the OER, it was shown to inhibit the formation of hydrogen peroxide, as well as other super oxides. 406These effects have since been shown for other chiral catalysts, 407−413 including chiral metal oxides 117,193,133,414−416 and metal sulfides. 183,184As an aside, we note that CISS may account, in part, for the high activity of photosystem II. 417lthough chiral ligands improve OER efficiency, they can reduce the density of active sites on the catalyst surface.To circumvent these issues chiral CuO thin films, which do not contain chiral molecules, were fabricated and show a similar improvement in the OER compared to achiral controls. 41Here, the chirooptically active CuO gives rise to spin polarization, as measured by Mott polarimetry; 39,41 however, all other measured properties of the achiral and chiral catalysts were the same, e.g., XPS spectra, absorbance, etc.Later works with chiral CuO/Nifoam, 418 cobalt oxide, 299 molybdenum sulfide, 184 and iron− nickel composites 419 have shown similar improvements in the electrolysis over the achiral analogues.Figure 15 shows a proposed mechanism to explain how spin polarization affects the overpotential and Faradaic efficiency of the reaction as a function of pH. 299Experiments show that the Faradaic efficiency for OER with achiral (reaction 3 in Figure 15b) and chiral catalysts (reaction 1 in Figure 5b) are similar at high pH values, which is consistent with unfavorable formation of hydrogen peroxide, pK a1 of 11.7 for the hydroxyl radical. 420A large difference in reaction overpotential was still observed, however, and was associated with a spin flip being required to form the triplet oxygen.As the pH decreases the difference in overpotential persists, but now the reaction intermediates comprise both hydroxyl radicals and oxy radicals.For achiral catalysts (reaction 4 in Figure 15b), in which spin constraints are not present, this leads to a lower Faradaic efficiency because of the competition with hydrogen peroxide formation.Conversely for chiral catalysts (reaction 2 in Figure 15b), the formation of the singlet-mediated byproduct is spin forbidden and therefore the Faradaic efficiency remains high.These studies indicate that the effect of spin polarization on the OER becomes increasingly important as the pH decreases to neutral and acidic conditions.Figure 15c shows an alternative mechanism in which the free energy associated with each step of the catalytic cycle, toward the production of triplet oxygen, is proposed to change if the catalyst is spin polarized (red) or not (blue). 421 common approach to predicting the performance of a heterogeneous catalyst uses the Sabatier principle in the form of a "volcano" plot.For the OER, workers often plot the negative of the overpotential versus the difference in the Gibbs energy of the adsorbed oxy and hydroxy radical intermediates on different electrocatalysts, so that the apex gives the optimum condition for the reaction. 422,423Recent work on NiO x and Fe (3−x) Co x O 4 , two catalysts near the apex of the volcano for the OER, suggest that chirality manifests as an independent design variable that can be used to reduce overpotential. 133,416−426 The change in energies associated with spin polarization can be so extreme that even the OER rate-determining step can change.Ren et al. showed such behavior for magnetized achiral ferromagnetic catalysts, 421 and Vadakkayil et al. showed that CISS-mediated spin polarization from chiral Fe (3−x) Co x O 4 catalysts can accomplish the same. 416Concomitant with the change in rate-determining step, the chiral Fe (3−x) Co x O 4 catalysts displayed extraordinary mass activity, on par with some of the largest reported in the literature and >400-fold higher than benchmark IrO 2 catalysts under the same electrolytic conditions. 427Improvement in OER characteristics for chiral metal oxide catalysts over analogous achiral catalysts is now considered indirect evidence for spin polarization arising from the CISS effect. 117,299.3.1.2.Oxygen Reduction Reaction (ORR).Chiral-induced spin selectivity has also been shown to improve the efficiency for the oxygen reduction reaction.Sang et al. showed that gold electrodes coated with alkanethiol SAMs exhibit progressively higher overpotentials with increasing alkane chain length, whereas the opposite trend was observed with chiral SAMs comprising oligopeptides: the overpotential decreased for increasing peptide length (see Figure 16). 428The effect was attributed to spin alignment of the chiral electrode surface lowering the transition state energy for reduction of the triplet oxygen for chiral catalysts (Figure 16c) compared to achiral catalysts in which the spin alignment at adjacent sites on the catalyst is less favorable (Figure 16d).To test the viability of CISS for more relevant catalyst systems, the authors extended the study to include chiral platinum nanoparticles and compared the results to commercially available platinum on carbon black, a common benchmark material.The chiral catalysts showed marked improvement in both mass activity and specific activity over the platinum carbide catalyst. 428The effect of spin polarization on ORR efficiency has since been shown in other works. 429,430.3.2.Organic Electrosynthesis.CISS is promising in facilitating organic reactions and promoting enantioselectivity through spin control.As discussed in Section 6.2, the charge polarization of a chiral molecule is accompanied by a spin polarization 20 and this process can lead to enantiospecific interactions between chiral molecules and ferromagnetic substrates. 21The same enantiospecific interactions have been leveraged in electrochemical reactions to facilitate the reduction (or oxidation) of one enantiomer while inhibiting that of the other.Enantiomeric enrichment of a racemic solution through CISS-mediated electrochemistry was first demonstrated for the reduction of camphorsulfonic acid to 10-mercaptoborneol. 24agnetizing a ferromagnetic electrode with a North (South) magnetic field, applied normal to the electrode surface-plane, causes the irreversible reduction of S-camphor sulfonic acid to proceed more (less) readily than R-camphorsulfonic acid.This asymmetry leads to a time-dependent increase in the enantiomeric excess of camphorsulfonic acid, in which the enantiomer that appears in excess is determined by the applied magnetic field.Subsequent measurements on the same redox reaction show that the enantioselectivity of the ferromagnetic electrode decays, by ∼33%, upon prolonged reaction conditions. 431X-ray photoelectron spectroscopy analysis attributed the behavior to electrode fouling and degradation, arising from sulfur formation at the electrode surface, and highlights the importance of establishing methods to stabilize the electrode, and hence its polarization, for enantioselective electrochemistry.Chiral metal surfaces, such as nickel, are also being used to resolve racemic mixtures. 432ther work shows that spin-mediated catalysis, and CISSbased phenomena, can be used to electrochemically transform achiral materials into enantioenriched chiral products.For instance, magnetized ferromagnetic electrodes coated with Fe 2 O 3 catalysts convert methylphenylsulfide, under oxidative conditions, to chiral methylphenylsulfoxide. 433Here, application of a North magnetic field gave rise to an 8.5% enantiomeric excess, whereas a South magnetic field produced a 16% enantiomeric excess of the other enantiomer.The authors argue that spin alignment of the reactant at the magnetized electrode surface places symmetry constraints on the reaction, such that the transition state energy for the formation of the two different enantiomers of the product is no longer degenerate.Using the same electrode configuration, the authors further demonstrate CISS-based enantioenrichment for a Diels−Alder cycloaddition reaction of 2,3-dimetylbutadiene with acetaldehyde to form 2,3,5-trimethyl-2,6-dihydro-2H-pryan. 433 Although the enantiomeric excess in these studies are small, they demonstrate the remarkable capabilities of CISS in chemical synthesis.

Polymerization.
The CISS effect has also been shown to operate during electropolymerization reactions on magnetized ferromagnetic electrodes.For instance, profilometry measurements following the electropolymerization of 2,3diphenyl-3,4-ethylenedioxythiophene (EDOT) monomers for a fixed amount of charge showed that the thickness of R,R-EDOT films under an applied South magnetic field (116 ± 5 nm) was greater than that of a North magnetic field (80 ± 5 nm).Conversely, the opposite was true for the S,S-EDOT monomers; North applied magnetic field (120 ± 5 nm) was greater than South magnetic fields (90 ± 5 nm). 434Note, under both magnetizations the films were thicker than the case when a magnetic field was not applied, indicating increased mass transport associated with magnetohydrodynamic effects; 435 however, the change in thickness with field orientation is a manifestation of CISS.The results were further corroborated by EQCM measurements, which showed that the electropolymerization of the R,R-EDOT monomer (Figure 17a) was faster when the ferromagnetic electrode was magnetized South (blue) and slower when a North (red) magnetic field was applied, and for the S,S-EDOT monomer (Figure 17b) was faster when a North (red) magnetic field was applied compared to a South (blue) magnetic field.Figure 17c shows an experimental scheme rationalizing the differences in thickness to changes in the spinexchange interactions between the chiral monomers and magnetized ferromagnetic electrodes during the nucleation step of the polymerization.In addition to affecting the polymerization of chiral monomeric units, the CISS effect can aid in controlling the handedness of polymers composed of achiral monomers, so long as the polymer can adopt a helical geometric structure.Initial studies demonstrated this phenomenon for the electropolymerization of achiral 1-pyrenecarboxylic acid monomers onto ferromagnetic substrates, in which the application of a North and South magnetic field gave rise to opposite circular dichroism spectra for the resulting polymer. 24In subsequent studies a similar phenomenon was observed using carbazole, 3,4ethylenedioxythiophene, and 2-vinylpyridine monomers. 150,431lectropolymerization with 2-vinylpyridine monomers is particularly interesting, as the spin polarization emanating from the ferromagnetic electrode created an enantiopreference for the generation of carbon stereocenters in the polymer chain. 150Although a mechanism for how chirality emerges in systems with achiral monomeric units has not yet been realized, one possible explanation relies on the CISS effect and spindependent charge polarization. 431Because the monomers are achiral, at early reaction time, electropolymerization likely results in a mixture of right-handed and left-handed short chain oligomers.However, as the reaction proceeds, delocalization of the spin-polarized electrons from the substrate into the oligomers would depend on the enantiomeric form, and hence a spin selectivity preference of the oligomer should emerge.Such behavior would cause differences in the reactivity of the two enantiomers and thus favor the formation of one enantiomer over the other in a manner that depends on the orientation of the applied magnetic field.
6.3.4.Future Directions.Despite substantial progress, much work remains to control and exploit CISS in chemical reactions.In related work on the effect of spin constraints on reaction pathways, spin alignment through the application of an external magnetic field has been shown to guide the carbon dioxide reduction reaction toward more value-added products, 436−438 as well as improve nitrogen fixation, 439,440 hydrogenation of ethylene, 441 and Fenton chemistry, 442 among others. 404,443,444Such systems thus represent a viable testbed of reactions for which CISS studies can be performed.It is important to stress that there are added benefits to replicating the magnetic field effect studies using chiral catalysts beyond just reiterating that spin-constraints affect reaction activity: (i) the spin polarizations can be much higher in chiral materials, >99%, than that found in magnetized ferromagnets, (ii) CISS affords additional flexibility on catalyst design, allowing one to impart spin effects to state-of-the-art catalysts without being limited by the catalyst's magnetic properties; and (iii) additional details regarding the mechanism can be learned by comparing magneto-vs CISS-catalysis.In addition to spin mediated effects, application of an external magnetic field during electrolysis can also affect mass transport 435,445 and have been credited by some for the improved activity during the carbon dioxide reduction reaction. 446,447A comparison of the activity between chiral and achiral catalysts, in which mass transport effects do not occur, could help better elucidate the role of spin in the reaction mechanism.Ultimately the efficacy of CISS in bulk electrolysis will depend on many factors such as the stability of the catalyst during electrolysis, the scalability of the approach, as well as the ease at which the materials can be incorporated into existing constructs.
With the exception of Diels−Alder cycloaddition studies, 433 the effect of CISS on organic transformations has been limited to one electron reduction, or oxidation, reaction steps and shows low enantiomeric excess.While chiral resolution and enantioselective synthesis remains an attractive application of CISSbased ideas, experiments necessitate improvements in the enantiomeric excess to garner interest for applications.To achieve high product enantiopurity, studies will likely rely on a combination of traditional methods for asymmetric catalysis, such as a chiral medium or chiral electrode, 448,449 in tandem with the CISS effect.The CISS effect may also find use for other classes of reactions.For instance, radical and radical-pair mechanisms are argued to be influenced by CISS�either directly, through coherence or polarization effects involving chiral molecules, 88,450 or through indirect processes as a result of fields generated from a chiral catalyst surface.It has long been shown that magnetic fields can affect reactivity and reversibility of reactions involving correlated spins 451 and therefore CISS ought to imbue analogous behavior.While experimental evidence for CISS-mediated organic catalysis involving a radical-pair mechanism is minimal, previous theoretical and experimental studies imply the existence of said reactions in nature. 89,139,452,453Moreover, a recent study suggests that the coherent relation between electrons is important in redox reactions involving transfer of multiple-electrons. 430This subject is in its infancy and work must be performed for understanding and establishing the effect for successful utilization in chemistry.

Role of CISS in Biology
Biomolecules and biopolymers in living organisms are largely homochiral, i.e., they appear almost exclusively in one enantiomeric form.Many workers have considered the origin of homochirality and its function; however, it remains an open question.Given its recent discovery, CISS has not been part of this scientific conversation; however, new experiments, which are described below, argue that it should be.
6.4.1.Biological Redox Processes.The study of bioenergetics is the study of protein and substrate redox chemistry.Although proteins may at first seem an odd choice for redox chemistry, their amino acid properties and organization, which can significantly impact local cofactor environments, provide a way to control the energetics of redox reactions.Yet, these benefits do not require homochirality.The benefits arising from CISS do provide a fundamental rationale for nature to choose homochiral biopolymers, i.e., proteins for electron transfer.Numerous in vitro studies show that electron transfer in proteins, and their complexes, are spin polarized (see Section 3.1.2).Recent protein voltammetry studies of cytochrome c, immobilized on chiral tripeptide monolayer films, reveal the importance of the electron spin and the film's homochirality on electron transfer kinetics. 58This study shows rate constant asymmetries as large as 60% and reveal marked differences in the average electron transfer rate constant for homochiral assemblies, in which the peptide and protein possess the same enantiomeric form, compared to heterochiral assemblies, where the handedness of the peptide layer is opposite to that of the protein, or is heterochiral itself.Because of the CISS effect and its resultant coupling of the linear momentum of the electron to its spin, the backscattering of electrons (which would require both electron-vibration coupling and a spin flip) is inhibited so that the fidelity of electron transfer over long ranges is facilitated.

Role of Electron Spin on Protein Stability.
A recent study has examined the importance of spin-exchange interactions on protein stability.After luciferase enzymes were adsorbed onto paramagnetic and ferromagnetic nanoparticles in solution, their denaturation upon addition of urea was examined. 232The enzymes structural stability was assessed using two methods: bioluminescence measurements, which monitored the activity of the Luciferase enzyme, and fast spectroscopy, which detected the distance between two chromophores implanted at the termini of a barnase core.For both measurements, interactions with magnetic materials altered the structural and functional resiliency of the natively folded proteins, showing greater stability on ferromagnetic surfaces than on paramagnetic surfaces, under mild denaturing conditions.The phenomenon was attributed to differences in the spin-exchange interactions involved in the magnetic imprinting properties of each type of nanoparticle and was supported by additional measurements on proteins at macroscopic magnetic surfaces.The results imply a link between internal spin-exchange interactions in a folded protein and its structural and functional integrity on magnetic surfaces; or more broadly, spin-exchange interactions should be considered as additional factors governing protein structure.
6.4.3.Biomolecular Interactions and Recognition.Molecular interactions are essential in biology; however, understanding the strength of the interactions, and/or their specificity, typically relies upon a more general knowledge of the thermodynamics, dynamics, and structural components of the interacting species. 454,455−459 Using spin-exchange microscopy methods, a direct measurement of the interaction force between two chiral peptides showed a difference in force of ∼70 pN between homochiral and heterochiral peptide−peptide interactions. 116These findings were further supported by calculations using a simple theoretical model, which found that the spin-mediated interactions among peptides in close proximity was stronger than that of hydrogen bonding.Note that a model with better quantitative agreement to the data was achieved by incorporating dispersion interactions and spinexchange interactions. 460EQCM methods have also been used to probe the effects of electron spin on biomolecular exchange interactions, showing that both the thermodynamic driving force as well as the dynamics for adsorption are affected. 222nterestingly, the enantiospecificity of the adsorption did not correlate with the handedness of the interacting substituents, but instead with the sign of the Cotton effect in the circular dichroism spectra associated with the interacting moiety.Collectively, these studies imply that the CISS effect can be just as important in biomolecular interactions and recognition events as traditional stereoisomeric and thermodynamic considerations.
6.4.4.Allosteric Interactions.The transfer of information through biomolecules to induce binding or initiate reactions at remote sites, is a defining principle in biological chemistry and chemical biology. 461Yet, the fundamental mechanism(s) underlying information transfer through the several nanometers typical for cell membranes and proteins remains an open question.Protein function may be modulated by the binding of a small ligand or another protein, a familiar phenomenon termed allostery.−465 Because modulation of a protein's polarizability can affect its function, spin effects can become important.It was recently demonstrated that charge redistribution, and hence spin polarizations, affect allostery. 22In subsequent work, it was shown that phototriggered charge injection from a site-specific ruthenium photosensitizer into the protein phosphoglycerate kinase (PGK) increases its binding with an antibody by 2-fold and suppresses the enzymatic activity of PGK by a factor as large as three. 466Moreover, these responses are elicited by excitation with left (but not right) circularly polarized light, i.e., injected electrons spin matters, presumably because of spin-filtering by the protein's chiral structure.This work reveals the possibility of controlling a protein's binding and enzymatic activity through circular polarized light and/or by attaching chiral entities at a point remote to the protein's active site.
6.4.5.Origin of Life.The origin of symmetry breaking and the rise of homochiral organisms from a "primordial chemical soup" has long intrigued scientists.Because of the prevalence of amino acids and DNA in early CISS studies, the idea that the electron spin could affect biological processes is long-standing. 467The discovery that the electron spin can act as a chiral bias to enantiospecifically facilitate chemical reactions, 24,431 however, has brought forth new deterministic hypotheses for the emergence and persistence of homochirality in Nature.For instance, Ozturk and Sasselov proposed that CISS could act as a symmetry breaking agent in cyanosulfidic prebiotic chemistry, which is hypothesized to give rise to some of life's most important molecular building blocks. 468Primordial reactions such as these are conjectured to occur in shallow lake basins known to contain magnetite and have previously been identified as favorable geological locations to facilitate the origin of life. 469,470t is important to note that a large enantiomeric excess in initial reactions is not necessary to eventually achieve homochirality, multiple autocatalytic 471−473 and nonlinear processes 474,475 could occur that increase enantiopurity over time.In addition, CISS-mediated processes could also act to reinforce and propagate homochirality in biology.Studies have shown that spin-exchange interactions between chiral RNA precursors and magnetized magnetite can direct enantiospecific crystallization; achieving homochirality, i.e., 100% enantiomeric excess, from a racemic mixture in two steps. 394Moreover, studies have shown that spin alignment in homochiral assemblies affords more efficient energy transduction than that in heterochiral analogs, providing another rationale for Nature's preference to be homochiral. 58.4.6.Future Directions.The emergence of life on earth is reported to date back as far as ∼3.7 billion years, 476 and Nature has undergone considerable evolutionary change.Biology, as we know today, manifests highly organized structures on multiple length scales that gives rise to elegant functions.As such, leaning on life's years of evolutionary optimization in physical and chemical processes to provide innovation and solutions for modern applications can be advantageous and is referred to as biomimicry.477 A greater understanding of the intricacies that define biological processes is thus paramount, and the discovery of CISS may help to further elucidate subtle features in biology, as well as improve existing biotechnologies.For instance, incorporation of spin polarization in bioelectronic mimetics may increase the specificity and sensitivity of biorecognition elements in sensors.Indeed, CISS-based sensing platforms are beginning to be developed.59,61,105,478,479 Moreover, the living cell can be viewed as a miniaturized information processor or computer; cells input information through intermolecular interactions, use proteins for intracellular communication, and store information as DNA.The cell performs these tasks more effectively than conventional computers. 480Does the spin information afforded through CISS contribute to this efficiency?

CRITICAL ASSESSMENT OF THE FIELD
The field of CISS has grown rapidly in the past decade, advancing in many directions.The basic CISS observation, the presence of different electron currents through chiral structures when one of the contacts is magnetic and the magnetization is switched, has been observed by a variety of research groups worldwide.In addition, the CISS effect is observed over a large range of temperatures and manifests for single molecules, for monolayers, for thin films, and in bulk crystals.Theoretically, several viable mechanisms have been proposed to explain these phenomena, and an important emphasis in the short term will be to validate a mechanism experimentally�be it one of those proposed or some combination thereof.
A clear discrepancy exists between the experimental state of the field and the theoretical one.Experimentalists have a fair ability to predict, qualitatively, what to expect from their experimental setups and are using this ability to focus their studies on addressing questions that can support the theory developments, exploring the implications of CISS to other fields of study, or developing CISS-related applications.Basic questions like the effect of the substrate and of a chiral molecule's SOC on the spin selectivity, the temperature dependence of CISS, the role of spin currents and angular momentum currents, and quantum CISS effects are now being studied.Other experimental efforts are examining the role of CISS in other research domains, including spin-controlled chemistry, biological processes, spintronics, and quantum information.
The situation is very different when one considers the theoretical efforts to explore the mechanism of CISS.It is now clear that all attempts to obtain quantitative agreement between calculations and experiments by using one electron models have failed.Theoretical approaches that go beyond the single electron Hamiltonian are being developed and show promise.They can reproduce major portions of the experiments and solve some of the issues raised in relation to time reversal symmetry and the Onsager principle.A major challenge for theory is to develop ab initio methods that include these "beyond single electron" concepts in order to open the way toward predicting experimental results in advance.Concepts that are important to include in theoretical models are the electrons' spin and charge polarization, phonons/vibrations, and wave function entanglement.

CONCLUDING REMARKS AND FUTURE OUTLOOK
Because the linkage of electron spin and the chiral symmetry of matter was not appreciated during the 20th century, much of our knowledge is built on information about matter that did not account for CISS and is often mute on its role.Investigations into CISS promise new insights for various fields, from chemistry and biology to physics.Many of the fundamental studies are providing a better understanding of CISS; however, these findings continue to open new avenues of study in other areas, e.g., emergent magnetism (Section 2.3.2),superconductivity spintronics (Section 6.1.3),and the origin of homochirality in biology (Section 6.4.5).At this stage of research, the ramifications of CISS cannot be fully charted.For instance, the ability to use the electron's spin as a "chiral reagent" was demonstrated, but we are far from being able to achieve the goal of replacing methods for asymmetric catalysis by spin-polarized electron sources.This subject has enormous scientific and industrial potential, and effort should be devoted to its exploration.In addition, the role of CISS in molecular biology and its promise for developing new methods for controlling protein activity could be profound.Preliminary studies of CISS in biology have been conducted when the systems are anchored to ferromagnetic substrates, and it will be important to extend this work to more realistic conditions and to studies in vivo.Molecules are "quantum devices", and although it is natural to explore the possible role of chiral molecules in quantum information science (QIS), this field is nascent.The ability to create materials that show quantum properties at room temperature is very appealing for QIS, and CISS offers a new approach to this end.Discovered in 1999, CISS remains a scientific adolescent whose promise is high, but remains to be realized.

Figure 3 .
Figure 3. Panel a shows the experimental geometry used for a measurement of the current−voltage curves.Panel b shows current−voltage curves for peptide 1N with the linker on the N-terminus of the peptide.The blue curve corresponds to a South magnetized tip in which the electron transport is aligned parallel with its spin and the red curve corresponds to a North magnetized tip in which the electron transport is aligned antiparallel to its spin.Panel c shows current voltage curves for peptide 1C; in this case the South magnetized tip shows a lower current and the North magnetized tip shows the higher current.Panel d plots the percent spin polarization, as calculated from the data in panels b and c for peptide 1N (green, 44%) and peptide 1C (orange, −32%).The figure is adapted from ref 43 with permission.Copyright 2022 John Wiley and Sons.

Figure 4 .
Figure 4. Panels a and b show a representative schematic diagram of a Hall device passivated with chiral oligopeptides.Panel c shows that upon charge polarization of the oligopeptides, a transient Hall voltage is generated.Panel d shows the dependence of the Hall voltage on the magnitude and sign of the gate voltage and the handedness of the oligopeptides.The figure is adapted from ref 20 with permission.

Figure 5 .
Figure 5. Topography and magnetic force microscopy phase images are shown for a molecular-induced magnetization orientation.The top row shows AFM topography images of SAMs of L-polylalanine (a) and Dpolyalanine (b) adsorbed on Co thin ferromagnetic layers with a 5 nm Au overlayer, and the bottom row shows their corresponding magnetic AFM magnetic phase images (L-polylalanine (c) and D-polylalanine (d)).Adsorption of oligopeptides induce a magnetization, and the direction of the magnetization is controlled by the enantiomeric form of the molecules.The figure is adapted from ref 57 with permission (http://creativecommons.org/licenses/by/4.0/).

Figure 6 .
Figure 6.The image shows the effect of spin-dependent charge reorganization interactions between two chiral molecules.From left to right: The two chiral reactant molecules are represented by helices and are noninteracting at a very large distance.As the chiral molecules approach each other dispersion forces generate induced dipoles on each molecule, which in turn are accompanied by a spin polarization.The two chiral molecules react to give a product with an energy that depends on whether the spin polarizations on the molecules are aligned antiparallel or parallel.

Figure 7 .
Figure 7. Panel a shows a schematic diagram for the Kelvin probe measurement.Panels b−d show changes in the measured contact potential difference with North (red) and South (blue) magnetizations for D-oligopeptide SAMs, achiral SAMs, and L-oligopeptide SAMs, respectively on ferromagnetic electrodes.The figure is adapted from ref 19 with permission.Copyright 2020 American Chemical Society.

Figure 8 .
Figure 8. Panel a shows an experimental schematic for magneto-optic Kerr effect measurements on chiral perovskite thin films.Panel b shows magneto-optic Kerr rotation measurements on S-hybrid organic−inorganic perovskites, under positive (top) and negative (bottom) out-of-plane external magnetic fields.The red line is an adjacent average smoothing of the data.Panel c shows the change in photoinduced Kerr response as a function of the external magnetic field strength.The red line is a linear fit to the data.The figure is adapted from ref 97 with permission.Copyright 2020 American Chemical Society.

Figure 9 .
Figure 9. Spin transport measurements on CdSe quantum dots passivated with L-cysteine (a,c) and D-cysteine (b,d) ligands.Panels a and b show mc-AFM measurements in which the red curve corresponds to the electron spin antiparallel to its momentum and the blue curve corresponds to the electron spin parallel to its momentum.The shaded regions represent 95% confidence intervals.Panels c and d show corresponding magnetoresistance (MR) measurements on spin-valve devices.The data are replotted from ref 163 with permission.Copyright 2016 American Chemical Society.

Figure 10 .
Figure 10.Panel a shows a schematic which illustrates the atomic molecular deposition super cycle repeated a total number of "L" times until a desired thickness is achieved.The deposition is composed of two subcycles; atomic layer deposition (blue) of alumina using trimethylaluminum and water repeated "n" times followed by dosing of the film (red) with D-or L-alaninol repeated "m" times.Panel b shows j−V characteristics of a device with a film fabricated using L-alaninol precursors for two different magnetic field directions; the inset illustrates the measurement circuit design.Panel c plots the resulting spin polarization as a function of bias potential.This figure is adapted from ref 195 with permission.Copyright 2022 American Chemical Society.

Figure 11 .
Figure 11.The plot shows the dependence of the spin polarization on the thickness for the polymer synthesized on a ferromagnetic electrode with application of an oriented external magnetic field.The inset shows the average current versus voltage (j−V) curves recorded for 60 ± 3 nm thickness polymers with the magnet North pole pointing up (red) and down (blue).The figure is adapted from ref 150 with permission.Copyright 2022 American Association for the Advancement of Science.

Figure 13 .
Figure 13.Enantiospecific adsorption of polyalanine (PAL).(a) The micrographs show the adsorption of the PAL oligopeptide [shown in inset of panel v] on ferromagnetic substrates magnetized with the magnetic dipole pointing Up (H+) or Down (H−) relative to the substrate surface.To visualize the adsorption, SiO 2 nanoparticles were attached to the adsorbed oligopeptides.Panels i and ii show L-PAL and panels iii and iv show D-PAL adsorbed for 2 s on a substrate magnetized Up or Down.Panel v summarizes the nanoparticle adsorption densities shown in panels i−iv, compared with the adsorption density on Au with the same applied external magnetic field (red bars).Double-headed arrows represent error bars, the standard deviation among 10 measurements conducted on each of the 10 samples, hence a total of 100 measurements.b Panel i shows the CD spectra of a racemic solution of PAL, obtained following exposure to a ferromagnetic substrate with magnetization pointing Down (red) or Up (blue).Following the adsorption onto the ferromagnetic surface, it is evident that the solution becomes enantioenriched.The line width reflects the uncertainty of the results.Panel ii shows the CD spectra of the pure enantiomers for comparison.The figure is adapted from ref 21 with permission.Copyright 2018 American Association for the Advancement of Science.

Figure 14 .
Figure 14.Studies into the effect of solution pH on the asymmetry in effective adsorption rate constant of cysteine onto a magnetized ferromagnetic substrate with a North and South applied magnetic field.Panel A shows the results of L-cysteine (green) and D-cysteine (purple) adsorbates; panel B shows the results for n-acetyl L-cysteine methyl ester.The figure is adapted from ref 23 with permission.Copyright 2021 American Chemical Society.

Figure 15 .
Figure 15.Proposed mechanistic scheme to explain the role of CISS during water splitting.Panel a shows a model lattice where the color of the ball indicates the spin of a radical intermediate adsorbate on the catalyst (shown here as a hydroxyl); blue indicates a spin down site whereas red indicates a spin up site.For chiral catalysts (left) the electrons at adjacent sites are spin aligned, because of the spin polarization, and thus formation of triplet oxygen is favored.For achiral catalysts (right) spin disorder exists and often necessitates either a change in spin state or a singlet-mediated pathway for the reaction to proceed.The figure is adapted from ref 299.Copyright 2020 American Chemical Society.Panel b shows the influence of the solution pH conditions on this process.For achiral catalysts a larger potential (+E) is needed to overcome the spin disorder limitations, compared to chiral catalysts, and additional singlet reaction pathways become more prominent.Panel c shows a theoretical treatment to determine the free energy of oxygen evolution at each reaction step on a CoFe 2 O 4 (111) surface toward triplet oxygen with (red) and without (blue) spin alignment on the catalyst surface.This figure is adapted from ref 421 with permission (http://creativecommons.org/licenses/by/4.0/).

Figure 16 .
Figure 16.Linear sweep voltammograms for oxygen reduction in O 2 -saturated 0.1 M KOH solutions using electrodes coated with achiral (a) and chiral (b) SAMs.The possible spin-mediated O 2 −substrate interactions available in the case of a chiral catalyst (c) and an achiral catalyst (d).The figure is adapted from ref 428 with permission.

Figure 17 .
Figure 17.Electrochemical quartz crystal microbalance measurements of the electropolymerization of R,R-EDOT (a) and S,S-EDOT (b) onto a ferromagnetic electrode with a North (red) or South (blue) applied magnetic field.Panel c shows an experimental scheme illustrating differences in the spin-exchange interactions between the chiral monomers and the magnetization state of the electrode giving rise to differences in the nucleation step of the reaction.The figure is adapted from ref 434 with permission.Copyright 2020 American Chemical Society.

Table 1 .
mc-AFM Determined Spin Polarizations of Different Hybrid Organic−Inorganic Perovskites and Metal Halides