Hartree-Fock energy of a density wave in a spin polarized two-dimensional electron gas

TL;DR

This paper calculates the Hartree-Fock energy of density waves in a spin-polarized 2D electron gas with short-range interactions, suggesting higher-order corrections might stabilize density-wave states.

Contribution

It provides the first Hartree-Fock energy analysis of density waves in a spin-polarized 2D electron gas with short-range interactions, highlighting the potential for stable density-wave states with many-body corrections.

Findings

Density-wave energy is reduced by a factor of (1 - zeta^2).

Stable ground states are paramagnetic or uniform ferromagnetic.

Higher-order corrections may stabilize density-wave states.

Abstract

We calculate the Hartree-Fock energy of a density-wave in a spin polarized two-dimensional electron gas using a short-range repulsive interaction. We find that the stable ground state for a short-range potential is always either the paramagnetic state or the uniform ferromagnetic state. The energy of a density-wave state is, however, reduced by a factor proportional to (1 - zeta^2), where zeta is the polarization of the electron gas. Since this situation occurs in the most unfavorable conditions (short-range repulsive interaction) it is therefore conceivable that by including higher order many-body corrections to the interaction a density-wave ground state is indeed found to be stable.