Journal ArticleCorrelation energy of the uniform electron gas determined by ground-state conditional probability density functional theoryPerchak, Dennis; McCarty, Ryan J.; Burke, KieronConditional-probability density functional theory (CP-DFT) is a formally exact method for finding correlation energies from Kohn-Sham DFT without evaluating an explicit energy functional. We present details on how to generate accurate exchange-correlation energies for the ground-state uniform gas. We also use the exchange hole in a CP antiparallel spin calculation to extract the high-density limit. We give a highly accurate analytic solution to the Thomas-Fermi model for this problem, showing its performance relative to Kohn-Sham and it may be useful at high temperatures. We explore several approximations to the CP potential. Results are compared to accurate parametrizations for both exchange-correlation energies and holes.2022-04-2210332747Physical review2470-0010https://doi.org/10.1103/PhysRevB.105.1651431856165National Science Foundation