Uniform electron gases

Abstract

We show that the traditional concept of the uniform electron gas (UEG) --- a homogeneous system of finite density, consisting of an infinite number of electrons in an infinite volume --- is inadequate to model the UEGs that arise in finite systems. We argue that, in general, a UEG is characterized by at least two parameters, \textit{viz.} the usual one-electron density parameter $\rho$ and a new two-electron parameter $\eta$. We outline a systematic strategy to determine a new density functional $E(\rho ,\eta )$ across the spectrum of possible $\rho$ and $\eta$ values.

8 pages, 2 figures, 5 tables

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Cited by in corpus (3)

• Deviations from piecewise linearity in the solid-state limit with approximate density functionals
• Nodal surfaces and interdimensional degeneracies
• Basis functions for electronic structure calculations on spheres