Free Energy of the Uniform Electron Gas: Testing Analytical Models against First Principle Results

Abstract

The uniform electron gas is a key model system in the description of matter, including dense plasmas and solid state systems. However, the simultaneous occurence of quantum, correlation, and thermal effects makes the theoretical description challenging. For these reasons, over the last half century many analytical approaches have been developed the accuracy of which has remained unclear. We have recently obtained the first \textit{ab initio} data for the exchange correlation free energy of the uniform electron gas [T. Dornheim \textit{et al.}, Phys.~Rev.~Lett.~\textbf{117}, 156403 (2016)] which now provides the opportunity to assess the quality of the mentioned approaches and parametrizations. Particular emphasis is put on the warm dense matter regime, where we find significant discrepancies between the different approaches.

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• Ab Initio Path Integral Monte Carlo Approach to the Static and Dynamic Density Response of the Uniform Electron Gas
• First principles simulations of dense hydrogen
• The Strongly Coupled Electron Liquid: ab initio Path Integral Monte Carlo Simulations and Dielectric Theories
• Path Integral Monte Carlo Simulation of Degenerate Electrons: Permutation-Cycle Properties
• Configuration Path Integral Monte Carlo Approach to the Static Density Response of the Warm Dense Electron Gas
• Permutation Blocking Path Integral Monte Carlo approach to the Static Density Response of the Warm Dense Electron Gas
• \textit{Ab Initio} results for the Static Structure Factor of the Warm Dense Electron Gas
• Integral equation theory based dielectric scheme for strongly coupled electron liquids
• Effective mass of quasiparticles from thermodynamics
• Revisiting the Vashishta-Singwi dielectric scheme for the warm dense uniform electron fluid
• Virial coefficients of the Uniform Electron Gas from Path Integral Monte Carlo Simulations
• Jellium at finite temperature
• Thermal stitching: Extending the reach of quantum fermion solvers
• On the density-density correlations of the non-interacting finite temperature electron gas