Density-functional approximation for the correlation energy of the inhomogeneous electron gas

1986 Physical review. B, Condensed matter 18,467 citations

Abstract

Langreth and Mehl (LM) and co-workers have developed a useful spin-density functional for the correlation energy of an electronic system. Here the LM functional is improved in two ways: (1) The natural separation between exchange and correlation is made, so that the density-gradient expansion of each is recovered in the slowly varying limit. (2) Uniform-gas and inhomogeneity effects beyond the randomphase approximation are built in. Numerical results for atoms, positive ions, and surfaces are close to the exact correlation energies, with major improvements over the original LM approximation for the ions and surfaces.

Keywords

IonLimit (mathematics)PhysicsFermi gasCorrelationLocal-density approximationEnergy (signal processing)Atomic physicsElectronDensity functional theoryEnergy functionalElectronic correlationQuantum mechanicsMathematical analysisMathematics

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Year
1986
Type
article
Volume
33
Issue
12
Pages
8822-8824
Citations
18467
Access
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John P. Perdew (1986). Density-functional approximation for the correlation energy of the inhomogeneous electron gas. Physical review. B, Condensed matter , 33 (12) , 8822-8824. https://doi.org/10.1103/physrevb.33.8822

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DOI
10.1103/physrevb.33.8822