Correlation energy, pair-distribution functions and static structure factors of jellium

TL;DR

This paper presents an improved interpolation scheme for the spin-resolved static structure factor and pair correlation functions of the 3D unpolarized electron gas, emphasizing accuracy and analytic properties.

Contribution

It introduces a simple, accurate interpolation method for spin-resolved correlation functions and compares it with recent schemes, focusing on correlation energies and high-density behavior.

Findings

The new scheme accurately reproduces spin-resolved correlation energies.

It clarifies the high-density limit of correlation functions.

Comparison shows improved agreement with existing models.

Abstract

We discuss and clarify a simple and accurate interpolation scheme for the spin-resolved electron static structure factor (and corresponding pair correlation function) of the 3D unpolarized homogeneous electron gas which, along with some analytic properties of the spin-resolved pair-correlation functions, we have just published. We compare our results with the very recent spin-resolved scheme by Schmidt et al., and focus our attention on the spin-resolved correlation energies and the high-density limit of the correlation functions.