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Parametric Resonance in Nanoelectromechanical Single Electron Transistors
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    Parametric Resonance in Nanoelectromechanical Single Electron Transistors
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    Department of Applied Physics, Chalmers University of Technology, SE-412 96 Göteborg, Sweden
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    Nano Letters

    Cite this: Nano Lett. 2011, 11, 4, 1439–1442
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    https://doi.org/10.1021/nl103663m
    Published March 4, 2011
    Copyright © 2011 American Chemical Society

    Abstract

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    We show that the coupling between single-electron charging and mechanical motion in a nanoelectromechanical single-electron transistor can be utilized in a novel parametric actuation scheme. This scheme, which relies on a periodic modulation of the mechanical resonance frequency through an alternating source−drain voltage, leads to a parametric instability and emergence of mechanical vibrations in a limited range of modulation amplitudes. Remarkably, the frequency range where instability occurs and the maximum oscillation amplitude, depend weakly on the damping in the system. We also show that a weak parametric modulation increases the effective quality factor and amplifies the system’s response to the conventional actuation that exploits an AC gate signal.

    Copyright © 2011 American Chemical Society

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    Cited By

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    This article is cited by 11 publications.

    1. Alexander Eichler, Julien Chaste, Joel Moser, and Adrian Bachtold . Parametric Amplification and Self-Oscillation in a Nanotube Mechanical Resonator. Nano Letters 2011, 11 (7) , 2699-2703. https://doi.org/10.1021/nl200950d
    2. Xiaosong Deng, Ning Kang, Zhiyong Zhang. Carbon-based cryoelectronics: graphene and carbon nanotube. Chip 2023, 2 (4) , 100064. https://doi.org/10.1016/j.chip.2023.100064
    3. Rumeng Liu, Junhua Zhao, Lifeng Wang. Flexural Wave Propagation in Mass Chain-Filled Carbon Nanotubes. Materials 2019, 12 (18) , 2986. https://doi.org/10.3390/ma12182986
    4. James M. Lehto Miller, Azadeh Ansari, David B. Heinz, Yunhan Chen, Ian B. Flader, Dongsuk D. Shin, L. Guillermo Villanueva, Thomas W. Kenny. Effective quality factor tuning mechanisms in micromechanical resonators. Applied Physics Reviews 2018, 5 (4) https://doi.org/10.1063/1.5027850
    5. Shanmuganathan Rajasekar, Miguel A. F. Sanjuan. Parametric Resonance. 2016, 261-291. https://doi.org/10.1007/978-3-319-24886-8_10
    6. M. Tahir, A. MacKinnon, U. Schwingenschlögl. Novel spectral features of nanoelectromechanical systems. Scientific Reports 2014, 4 (1) https://doi.org/10.1038/srep04035
    7. M. Prada, G. Platero, D. Pfannkuche. Unidirectional direct current in coupled nanomechanical resonators by tunable symmetry breaking. Physical Review B 2014, 89 (4) https://doi.org/10.1103/PhysRevB.89.045426
    8. Milton E. Peña-Aza, Alessandro Scorrano, Leonid Y. Gorelik. Parametric excitation of dc current in a single-dot shuttle system via spontaneous symmetry breaking. Physical Review B 2013, 88 (3) https://doi.org/10.1103/PhysRevB.88.035412
    9. M. Prada, G. Platero. Double coupled electron shuttle. Physical Review B 2012, 86 (16) https://doi.org/10.1103/PhysRevB.86.165424
    10. H. B. Meerwaldt, G. Labadze, B. H. Schneider, A. Taspinar, Ya. M. Blanter, H. S. J. van der Zant, G. A. Steele. Probing the charge of a quantum dot with a nanomechanical resonator. Physical Review B 2012, 86 (11) https://doi.org/10.1103/PhysRevB.86.115454
    11. C. Valverde, A.T. Avelar, B. Baseia. Quantum communication via controlled holes in the statistical distribution of excitations in a nanoresonator coupled to a Cooper pair box. Chinese Physics B 2012, 21 (3) , 030308. https://doi.org/10.1088/1674-1056/21/3/030308

    Nano Letters

    Cite this: Nano Lett. 2011, 11, 4, 1439–1442
    Click to copy citationCitation copied!
    https://doi.org/10.1021/nl103663m
    Published March 4, 2011
    Copyright © 2011 American Chemical Society

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