Uniform electron gases

Details Uniform electron gases Uniform electron gases

2012-02-06

arxiv.org/abs/1202.1092v1

Theor. Chem. Acc. 131, 1069 (2012)

Physics

Chemical Physics

8 pages, 2 figures, 5 tables

Scientific paper

10.1007/s00214-011-1069-7

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.

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