Unrestricted Hartree-Fock theory of Wigner crystals

Details Unrestricted Hartree-Fock theory of Wigner crystals Unrestricted Hartree-Fock theory of Wigner crystals

2009-09-30

arxiv.org/abs/0909.5498v1

Phys. Rev. B 68, 045107 (2003)

Physics

Condensed Matter

Materials Science

4 pages, 5 figures

Scientific paper

10.1103/PhysRevB.68.045107

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

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