Communication: Simple and accurate uniform electron gas correlation energy for the full range of densities
Abstract
A simple correlation energy functional for the uniform electron gas is derived based on the secondorder MollerPlesset perturbation theory. It can reproduce the known correlation functional in the highdensity limit, while in the middensity range maintaining a good agreement with the nearexact correlation energy of the uniform electron gas to within 2 × 10^{3} hartree. The correlation energy is a function of a density parameter r_{s} and is of the form a * ln ( 1 + /b _{r s} + /b _{r}^{s 2} ) . The constants "a" and "b" are derived from the known correlation functional in the highdensity limit. Comparisons to the CeperleyAlder's nearexact Quantum Monte Carlo results and the VoskoWilkNusair correlation functional are also reported.
 Publication:

Journal of Chemical Physics
 Pub Date:
 July 2016
 DOI:
 10.1063/1.4958669
 Bibcode:
 2016JChPh.145b1101C