Uniform electron gas at finite temperatures

Abstract

We calculate the free energy of the quantum uniform electron gas for temperatures from near 0 to 100 times the Fermi energy, approaching the classical limit. An extension of the Vashista-Singwi theory to finite temperatures and a self-consistent compressibility sum rule is presented. Comparisons are made to other local-field correction methods, as well as recent quantum Monte Carlo simulation and classical map-based results. Accurate fits to the exchange-correlation free energy from both theory and simulation are given for future practical applications.