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arXiv · 1809.09921

On the spatially periodic ordering in the system of electrons above the surface of liquid helium in an external electric field

D. M. Lytvynenko·Yu. V. Slyusarenko·A. I. Kirdin
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Abstract

A theory of equilibrium states of electrons above a liquid helium surface in the presence of an external clamping field is built based on the first principles of quantum statistics for the system of many identical Fermi-particles. The approach is based on the variation principle modified for the considered system and on Thomas-Fermi model. In terms of the developed theory we obtain the self-consistency equations that connect the parameters of the system description, i.e., the potential of a static electric field, the distribution function of electrons and the surface profile of a liquid dielectric. The equations are used to study the phase transition of the system to a spatially periodic state. To demonstrate the capabilities of the proposed method, the characteristics of the phase transition of the system to a spatially periodic state of a trough type are analyzed.

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D. M. Lytvynenko, Yu. V. Slyusarenko, A. I. Kirdin. 2018-09-26. On the spatially periodic ordering in the system of electrons above the surface of liquid helium in an external electric field. https://doi.org/10.5488/cmp.21.33601

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