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Thermoelectric properties of Wigner crystal in two-dimensional periodic potential

By Mikhail Y. Zakharov, Denis Demidov and Dima L. Shepelyansky

Abstract

9 pages, 9 figuresInternational audienceWe 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

Topics: [PHYS.COND.CM-MSQHE]Physics [physics]/Condensed Matter [cond-mat]/Mesoscopic Systems and Quantum Hall Effect [cond-mat.mes-hall], [NLIN]Nonlinear Sciences [physics], [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD]
Publisher: 'Springer Science and Business Media LLC'
Year: 2020
DOI identifier: 10.1140/epjb/e2020-100525-8
OAI identifier: oai:HAL:hal-02338655v1
Provided by: HAL-INSA Toulouse
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