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arXiv · 0909.5498

Unrestricted Hartree-Fock theory of Wigner crystals

J. R. Trail·M. D. Towler·R. J. Needs
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Abstract

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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J. R. Trail, M. D. Towler, R. J. Needs. 2009-09-30. Unrestricted Hartree-Fock theory of Wigner crystals. https://doi.org/10.1103/physrevb.68.045107

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