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

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...

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Bibliographic Details
Published in:Физика низких температур
Date:2018
Main Author: Monarkha, Yu.P.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/175984
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Nonlinear dynamics of a two-dimensional Wigner solid on superfluid helium / Yu.P. Monarkha // Физика низких температур. — 2018. — Т. 44, № 4. — С. 379-388. — Бібліогр.: 21 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.
ISSN:0132-6414