\textit{Ab Initio} results for the Static Structure Factor of the Warm Dense Electron Gas

TL;DR

This paper presents highly accurate ab initio calculations of the static structure factor for the warm dense electron gas, combining quantum Monte Carlo data with analytical approximations to improve understanding of warm dense matter.

Contribution

The study introduces a novel combination of quantum Monte Carlo results and analytical approximations to accurately determine the static structure factor across all wave vectors.

Findings

High-accuracy static structure factor data for warm dense electron gas.

Identification of limitations in previous approximation methods.

Enhanced input data for further warm dense matter research.

Abstract

The uniform electron gas at finite temperature is of high current interest for warm dense matter research. The complicated interplay of quantum degeneracy and Coulomb coupling effects is fully contained in the pair distribution function or, equivalently, the static strucutre factor. By combining exact quantum Monte Carlo results for large wave vectors with the long-range behavior from the Singwi-Tosi-Land-Sj\"olander approximation, we are able to obtain highly accurate data for the static structure factor over the entire $k$-range. This allows us to gauge the accuracy of previous approximations and discuss their respective shortcomings. Further, our new data will serve as valuable input for the computation of other quantities.