Loos, Pierre-François; Ball, Caleb J.; Gill, Peter M. W.
We introduce a generalization (gLDA) of the traditional Local Density
Approximation (LDA) within density functional theory. The gLDA uses both the
one-electron Seitz radius $\rs$ and a two-electron hole curvature parameter
$\eta$ at each point in space. The gLDA reduces to the LDA when applied to the
infinite homogeneous electron gas but, unlike the LDA, is is also exact for
finite uniform electron gases on spheres. We present an explicit gLDA
functional for the correlation energy of...[Show more]
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