The uniform electron gas

TL;DR

This paper reviews the fundamental properties and phase diagrams of the uniform electron gas across various densities and dimensions, highlighting recent quantum Monte Carlo and Hartree-Fock results.

Contribution

It provides a comprehensive review of the energetics, phase diagrams, and state-of-the-art calculations for the uniform electron gas in multiple dimensions and density regimes.

Findings

Best quantum Monte Carlo results for UEG energetics

Phase diagrams of jellium across densities and dimensions

Comparison of symmetry-broken Hartree-Fock calculations

Abstract

The uniform electron gas or UEG (also known as jellium) is one of the most fundamental models in condensed-matter physics and the cornerstone of the most popular approximation --- the local-density approximation --- within density-functional theory. In this article, we provide a detailed review on the energetics of the UEG at high, intermediate and low densities, and in one, two and three dimensions. We also report the best quantum Monte Carlo and symmetry-broken Hartree-Fock calculations available in the literature for the UEG and discuss the phase diagrams of jellium.