Upper bounds of spin-density wave energies in the homogeneous electron gas

TL;DR

This paper investigates the energy bounds of spin-density waves in the homogeneous electron gas, providing a more comprehensive description of SDW states and their relevance at high densities within the Hartree-Fock framework.

Contribution

It introduces a modified Overhauser ansatz that better explains SDW behavior in jellium at high densities, aligning with previous simulations.

Findings

Modified ansatz explains SDW behavior at high density

SDW can lower energy in the Fermi gas

Results align with Hartree-Fock simulations

Abstract

Studying the jellium model in the Hartree-Fock approximation, Overhauser has shown that spin density waves (SDW) can lower the energy of the Fermi gas, but it is still unknown if these SDW are actually relevant for the phase diagram. In this paper, we give a more complete description of SDW states. We show that a modification of the Overhauser ansatz explains the behavior of the jellium at high density compatible with previous Hartree-Fock simulations.