Theory of electron states in two-dimensional Wigner clusters

Abstract

Abstract The results of modeling a finite system of interacting two-dimensional electrons placed at zero temperature into an external parabolic potential well are presented. The structure of the 2D Wigner cluster is found. The distribution functions of interelectron distances and the coordination numbers of internal and external electrons are obtained. The ”string-zigzag” transition is analyzed. The low-temperature specific heat of the system is determined. An electronic Wigner crystal on a sphere is also considered.