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

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 $2k_F$. The broken-symmetry state originates from pairing instabilities at the Fermi surface, a model for which is proposed.

4 pages, 4 figures

References in corpus (2)

• Phaseless auxiliary-field quantum Monte Carlo calculations with planewaves and pseudopotentials--applications to atoms and molecules
• Unrestricted Hartree-Fock theory of Wigner crystals

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