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/content/aip/journal/jcp/145/2/10.1063/1.4958669
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See supplementary material at http://dx.doi.org/10.1063/1.4958669 for additional figures and detailed comparisons to the VWN functional and the Quantum Monte Carlo data.[Supplementary Material]
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/content/aip/journal/jcp/145/2/10.1063/1.4958669
2016-07-08
2016-12-04

Abstract

A simple correlation energy functional for the uniform electron gas is derived based on the second-order Moller-Plesset perturbation theory. It can reproduce the known correlation functional in the high-density limit, while in the mid-density range maintaining a good agreement with the near-exact correlation energy of the uniform electron gas to within 2 × 10−3 hartree. The correlation energy is a function of a density parameter r and is of the form . The constants “a” and “b” are derived from the known correlation functional in the high-density limit. Comparisons to the Ceperley-Alder’s near-exact Quantum Monte Carlo results and the Vosko-Wilk-Nusair correlation functional are also reported.

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