Uniform electron gases

Peter M. W. Gill; Pierre-François Loos

doi:10.1007/s00214-011-1069-7

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arXiv · 1202.1092

Uniform electron gases

Peter M. W. Gill·Pierre-François Loos

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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 $ρ$ and a new two-electron parameter $η$. We outline a systematic strategy to determine a new density functional $E(ρ,η)$ across the spectrum of possible $ρ$ and $η$ values.

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Peter M. W. Gill, Pierre-François Loos. 2012-02-06. Uniform electron gases. https://doi.org/10.1007/s00214-011-1069-7

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