Xuan F, Chai JD, Su H. Local Density Approximation for the Short-Range Exchange Free Energy Functional.
ACS OMEGA 2019;
4:7675-7683. [PMID:
31459859 PMCID:
PMC6648272 DOI:
10.1021/acsomega.9b00303]
[Citation(s) in RCA: 11] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/01/2019] [Accepted: 04/17/2019] [Indexed: 06/01/2023]
Abstract
Analytical expressions for the exchange free energy per particle of the uniform electron gas (UEG) associated with the short-range (SR) interelectronic interaction at the low- and high-temperature limits are examined, yielding an accurate analytical parametrization for the SR exchange free energy per particle of the UEG as a function of the uniform electron density, temperature, and range-separation parameter. This parametrization constitutes the local density approximation for the SR exchange free energy functional, which can be the first step toward finding generally accurate range-separated hybrid functionals in both finite-temperature density functional theory and thermally assisted-occupation density functional theory.
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