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

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

2011-01-17

arxiv.org/abs/1101.3131v5

J. Chem. Phys. 135, 214111 (2011)

Physics

Chemical Physics

5 pages, 2 figures, 2 tables, accepted for publication in J. Chem. Phys

Scientific paper

10.1063/1.3665393

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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