Correlation energies of inhomogeneous many-electron systems

Abstract

Using ideas from general density-functional theory, we generalize the uniform-gas correlation-energy formalism of Singwi, Tosi, Land, and Sj\"olander to the case of an arbitrary inhomogeneous many-particle system. For jellium slabs of finite thickness with a self-consistent local-density approximation ground-state Kohn-Sham potential as input, our numerical results for the correlation energy agree well with diffusion Monte Carlo results. For a helium atom we also obtain a good correlation energy.