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arXiv · 0712.1194

The Hartree-Fock ground state of the three-dimensional electron gas

Shiwei Zhang·D. M. Ceperley
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Abstract

In 1962, Overhauser showed that within Hartree-Fock (HF) the electron gas is unstable to a spin density wave (SDW) instability. Determining the true HF ground state has remained a challenge. Using numerical calculations for finite systems and analytic techniques, we study the HF ground state of the 3D electron gas. At high density, we find broken spin symmetry states with a nearly constant charge density. Unlike previously discussed spin wave states, the observed wave vector of the SDW is smaller than $2 k_F$. The broken-symmetry state originates from pairing instabilities at the Fermi surface, a model for which is proposed.

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Shiwei Zhang, D. M. Ceperley. 2007-12-07. The Hartree-Fock ground state of the three-dimensional electron gas. https://doi.org/10.1103/physrevlett.100.236404

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