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Thermoelectric properties of Wigner crystal in two-dimensional periodic potential

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Abstract

We study numerically transport and thermoelectric properties of electrons placed in a two-dimensional (2D) periodic potential. Our results show that the transition from sliding to pinned phase takes place at a certain critical amplitude of lattice potential being similar to the Aubry transition for the one-dimensional Frenkel-Kontorova model. We show that the 2D Aubry pinned phase is characterized by high values of Seebeck coefficient S ≈ 12. At the same time we find that the value of Seebeck coefficient is significantly influenced by the geometry of periodic potential. We discuss possibilities to test the properties of 2D Aubry phase with electrons on a surface of liquid helium.

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Authors and Affiliations

  1. Institute of Physics, Department of General Physics, Kazan Federal University, 42011, Kazan, Russia

    Mikhail Y. Zakharov

  2. Kazan Branch of Joint Supercomputer Center, Scientific Research Institute of System Analysis, Russian Academy of Sciences, 42011, Kazan, Russia

    Denis Demidov

  3. Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS, 31062, Toulouse, France

    Dima L. Shepelyansky

Authors
  1. Mikhail Y. Zakharov
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  2. Denis Demidov
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  3. Dima L. Shepelyansky
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Correspondence to Dima L. Shepelyansky.

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Zakharov, M.Y., Demidov, D. & Shepelyansky, D.L. Thermoelectric properties of Wigner crystal in two-dimensional periodic potential. Eur. Phys. J. B 93, 31 (2020). https://doi.org/10.1140/epjb/e2020-100525-8

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  • DOI: https://doi.org/10.1140/epjb/e2020-100525-8

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