%0 Journal Article
%T Quantum Monte Carlo Analysis of Exchange and Correlation in the Strongly Inhomogeneous Electron Gas
%A Maziar Nekovee
%A W. M. C. Foulkes
%A R. J. Needs
%J Physics
%D 2000
%I arXiv
%R 10.1103/PhysRevLett.87.036401
%X We use variational quantum Monte Carlo to calculate the density-functional exchange-correlation hole n_{xc}, the exchange-correlation energy density e_{xc}, and the total exchange-correlation energy E_{xc}, of several electron gas systems in which strong density inhomogeneities are induced by a cosine-wave potential. We compare our results with the local density approximation and the generalized gradient approximation. It is found that the nonlocal contributions to e_{xc} contain an energetically significant component, the magnitude, shape, and sign of which are controlled by the Laplacian of the electron density.
%U http://arxiv.org/abs/cond-mat/0008181v1