Low Temperature Physics: 44, 286 (2018); https://doi.org/10.1063/1.5030450
Fizika Nizkikh Temperatur: Volume 44, Number 4 (April 2018), p. 379-388    ( to contents , go back )

Nonlinear dynamics of a two-dimensional Wigner solid on superfluid helium

Yu.P. Monarkha

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine 47 Nauky Ave., Kharkiv 61103, Ukraine
E-mail: monarkha@ilt.kharkov.ua

Received August 16, 2017

Abstract

Nonlinear dynamics and transport properties of a 2D Wigner solid (WS) on the free surface of superfluid helium are theoretically studied. The analysis is nonperturbative in the amplitude of the WS velocity. An anomalous nonlinear response of the liquid helium surface to the oscillating motion of the WS is shown to appear when the driving frequency is close to subharmonics of the frequency of a capillary wave (ripplon) whose wave vector coincides with a reciprocal-lattice vector. As a result, the effective mass of surface dimples formed under electrons and the kinetic friction acquire sharp anomalies in the low-frequency range, which affects the mobility and magnetoconductivity of the WS. The results obtained here explain a variety of experimental observations report-ed previously.

PACS: 73.20.Qt Electron solids;
PACS: 73.40.–c Electronic transport in interface structures;
PACS: 67.90.+z Other topics in quantum fluids and solids;
PACS: 71.45.Lr Charge-density-wave systems.

Key words: Wigner solid, 2D electron systems, nonlinear transport, superfluid helium.

Published online: February 26, 2018

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