Revealing Energy Level Structure of Individual Quantum Dots by Tunneling Rate Measured by Single-Electron Sensitive Electrostatic Force Spectroscopy
Abstract

We present theoretical and experimental studies of the effect of the density of states of a quantum dot (QD) on the rate of single-electron tunneling that can be directly measured by electrostatic force microscopy (e-EFM) experiments. In e-EFM, the motion of a biased atomic force microscope cantilever tip modulates the charge state of a QD in the Coulomb blockade regime. The charge dynamics of the dot, which is detected through its back-action on the capacitavely coupled cantilever, depends on the tunneling rate of the QD to a back-electrode. The density of states of the QD can therefore be measured through its effect on the energy dependence of tunneling rate. We present experimental data on individual 5 nm colloidal gold nanoparticles that exhibit a near continuous density of state at 77 K. In contrast, our analysis of already published data on self-assembled InAs QDs at 4 K clearly reveals discrete degenerate energy levels.
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- Bugrahan Guner, Omur E. Dagdeviren. Multidimensionality of the Contact Potential Difference at the Nanoscale in Inorganic Oxides. ACS Applied Electronic Materials 2022, 4
(8)
, 4085-4093. https://doi.org/10.1021/acsaelm.2c00713
- Antoine Roy-Gobeil, Yoichi Miyahara, Kirk H. Bevan, Peter Grutter. Fully Quantized Electron Transfer Observed in a Single Redox Molecule at a Metal Interface. Nano Letters 2019, 19
(9)
, 6104-6108. https://doi.org/10.1021/acs.nanolett.9b02032
- Ingmar Swart, Peter Liljeroth, and Daniel Vanmaekelbergh . Scanning probe microscopy and spectroscopy of colloidal semiconductor nanocrystals and assembled structures. Chemical Reviews 2016, 116
(18)
, 11181-11219. https://doi.org/10.1021/acs.chemrev.5b00678
- Patricia Moraille, Zahra Abdali, Mohini Ramkaran, David Polcari, Gregory S. Patience, Noémie‐Manuelle Dorval Courchesne, Antonella Badia. Experimental methods in chemical engineering: Atomic force microscopy − AFM. The Canadian Journal of Chemical Engineering 2022, 100
(10)
, 2778-2806. https://doi.org/10.1002/cjce.24407
- Megan Cowie, Rikke Plougmann, Zeno Schumacher, Peter Grütter. Single-dopant band bending fluctuations in
MoSe
2
measured with electrostatic force microscopy. Physical Review Materials 2022, 6
(10)
https://doi.org/10.1103/PhysRevMaterials.6.104002
- Omur E. Dagdeviren. Confronting interatomic force measurements. Review of Scientific Instruments 2021, 92
(6)
https://doi.org/10.1063/5.0052126
- Jan Berger, Martin Ondráček, Oleksandr Stetsovych, Pavel Malý, Petr Holý, Jiří Rybáček, Martin Švec, Irena G. Stará, Tomáš Mančal, Ivo Starý, Pavel Jelínek. Quantum dissipation driven by electron transfer within a single molecule investigated with atomic force microscopy. Nature Communications 2020, 11
(1)
https://doi.org/10.1038/s41467-020-15054-w
- C. ALBONETTI, S. CHIODINI, P. ANNIBALE, P. STOLIAR, R. V. MARTINEZ, R. GARCIA, F. BISCARINI. Quantitative phase‐mode electrostatic force microscopy on silicon oxide nanostructures. Journal of Microscopy 2020, 280
(3)
, 252-269. https://doi.org/10.1111/jmi.12938
- Peter Grutter. Electrostatic Force Microscopy: Measuring Ion Mobility, Non-linear Optical Signals and Achieving Ultimate Time Resolution. Microscopy and Microanalysis 2020, 26
(S2)
, 2984-2987. https://doi.org/10.1017/S1431927620023429
- Ryan P. Dwyer, Lee E. Harrell, John A. Marohn. Lagrangian and Impedance-Spectroscopy Treatments of Electric Force Microscopy. Physical Review Applied 2019, 11
(6)
https://doi.org/10.1103/PhysRevApplied.11.064020
- F. Caruso, V. Oguri, F. Silveira. How the inter-electronic potential Ansätze affect the bound state solutions of a planar two-electron quantum dot model. Physica E: Low-dimensional Systems and Nanostructures 2019, 105 , 182-185. https://doi.org/10.1016/j.physe.2018.09.017
- Wolfram Steurer, Jascha Repp, Leo Gross, Gerhard Meyer. Damping by sequentially tunneling electrons. Surface Science 2018, 678 , 112-117. https://doi.org/10.1016/j.susc.2018.02.011
- Yoichi MIYAHARA. Energy Level Spectroscopy of Individual Quantum Dots by Electric Force Detection with Atomic force Microscopy. Vacuum and Surface Science 2018, 61
(10)
, 645-650. https://doi.org/10.1380/vss.61.645
- Shadi Fatayer, Bruno Schuler, Wolfram Steurer, Ivan Scivetti, Jascha Repp, Leo Gross, Mats Persson, Gerhard Meyer. Reorganization energy upon charging a single molecule on an insulator measured by atomic force microscopy. Nature Nanotechnology 2018, 13
(5)
, 376-380. https://doi.org/10.1038/s41565-018-0087-1
- Hryhoriy Polshyn, Tyler R. Naibert, Raffi Budakian. Imaging phase slip dynamics in micron-size superconducting rings. Physical Review B 2018, 97
(18)
https://doi.org/10.1103/PhysRevB.97.184501
- Martin Ondráček, Prokop Hapala, Martin Švec, Pavel Jelínek. Imaging Charge Distribution Within Molecules by Scanning Probe Microscopy. 2018, 499-518. https://doi.org/10.1007/978-3-319-75687-5_16
- N. Kocić, S. Decurtins, S.-X. Liu, J. Repp. Forces from periodic charging of adsorbed molecules. The Journal of Chemical Physics 2017, 146
(9)
https://doi.org/10.1063/1.4975607
- Yoichi Miyahara, Antoine Roy-Gobeil, Peter Grutter. Quantum state readout of individual quantum dots by electrostatic force detection. Nanotechnology 2017, 28
(6)
, 064001. https://doi.org/10.1088/1361-6528/aa5261
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(5)
https://doi.org/10.1063/1.4975629
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- Liam Collins, Alex Belianinov, Suhas Somnath, Nina Balke, Sergei V. Kalinin, Stephen Jesse. Full data acquisition in Kelvin Probe Force Microscopy: Mapping dynamic electric phenomena in real space. Scientific Reports 2016, 6
(1)
https://doi.org/10.1038/srep30557
- Martin Ondráček, Prokop Hapala, Pavel Jelínek. Charge-state dynamics in electrostatic force spectroscopy. Nanotechnology 2016, 27
(27)
, 274005. https://doi.org/10.1088/0957-4484/27/27/274005