Eur. Phys. J. B (2014) 87: 253
https://doi.org/10.1140/epjb/e2014-50303-2

Regular Article

Statistical description of the system electrons on the liquid helium surface

¹ Bogolyubov Institute for Theoretical Physics, National Academy of Science, Metrolohichna St. 14-b, 03680 Kyiv, Ukraine
² Taras Shevchenko National University of Kyiv, 64/13, Volodymyrska St., 01601 Kyiv, Ukraine

^a e-mail: yu.binkukoku@gmail.com

Received: 12 May 2014
Received in final form: 31 July 2014
Published online: 1 November 2014

Abstract

System of electrons on the liquid helium surface is considered. General methods for obtaining free energy functional for the systems in mean field approximation are developed. These methods applied for treating systems with particles arranged in a lattice. Thus obtained functional of free energy is analyzed. The localization distance for electron and conditions for existing square or triangular lattices as well as phase transition between them are obtained.