Thinking outside the box: the uniform electron gas on a hypersphere

Pierre-François Loos; Peter M. W. Gill

doi:10.1063/1.3665393

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arXiv · 1101.3131

Thinking outside the box: the uniform electron gas on a hypersphere

Pierre-François Loos·Peter M. W. Gill

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Abstract

We discuss alternative homogeneous electron gas systems in which a finite number $n$ of electrons are confined to a $D$-dimensional sphere. We derive the first few terms of the high-density ($r_s\to0$, where $r_s$ is the Seitz radius) energy expansions for these systems and show that, in the thermodynamic limit ($n\to\infty$), these terms become identical to those of $D$-dimensional jellium.

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Pierre-François Loos, Peter M. W. Gill. 2011-11-14. Thinking outside the box: the uniform electron gas on a hypersphere. https://doi.org/10.1063/1.3665393

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