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
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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2014