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    Transport properties of a Wigner crystal in one- and two-dimensional asymmetric periodic potentials: Wigner crystal diode

    Mikhail Y. Zakharov1, Denis Demidov2, and Dima L. Shepelyansky3

    • 1Institute of Physics, Department of General Physics, Kazan Federal University, 42011 Kazan, Russia
    • 2Kazan Branch of Joint Supercomputer Center, Scientific Research Institute of System Analysis, Russian Academy of Sciences, 42011 Kazan, Russia
    • 3Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS, 31062 Toulouse, France

    Phys. Rev. B 99, 155416 – Published 18 April, 2019

    DOI: https://doi.org/10.1103/PhysRevB.99.155416

    Abstract

    We study the transport properties of a Wigner crystal in one- and two-dimensional asymmetric periodic potentials. We show that the Aubry transition takes place above a certain critical amplitude of potential with the sliding and pinned phase below and above the transition. Due to the asymmetry the Aubry pinned phase is characterized by the diode charge transport of the Wigner crystal. We argue that the recent experimental observations of Aubry transition with cold ions and colloidal monolayers can be extended to asymmetric potentials making it possible to observe a Wigner crystal diode with these physical systems and electrons on liquid helium.

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