Unrestricted Hartree-Fock theory of Wigner crystals

Abstract

We demonstrate that unrestricted Hartree-Fock theory applied to electrons in a uniform potential has stable Wigner crystal solutions for $r_s\ge 1.44$ in two dimensions and $r_s\ge 4.5$ in three dimensions. The correlation energies of the Wigner crystal phases are considerably smaller than those of the fluid phases at the same density.

4 pages, 5 figures

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