Properties of Hartree-Fock solutions of the three-dimensional electron gas

TL;DR

This paper investigates the properties of Hartree-Fock solutions for the 3D electron gas, revealing universal behavior at high density and supporting the existence of a spin density wave ground state.

Contribution

It provides a detailed analysis of Hartree-Fock solutions, highlighting universal behaviors and the potential ground state nature at high densities.

Findings

Universal behavior of incommensurate crystal at high density

Support for spin density wave as ground state

Analysis of properties of Hartree-Fock solutions

Abstract

In a previous letter, L. Baguet et al., (Phys. Rev. Lett. {\bf 111}, 166402 (2013)), we presented the ground state phase diagram of the homogeneous electron gas in three dimensions within the Hartree-Fock approximation yielding incommensurate crystal states at high density. Here, we analyze the properties of these solutions. In particular, at high density we find universal behavior of the incommensurate crystal strongly supporting the existence of a spin density wave ground state.