Leading-order behavior of the correlation energy in the uniform electron gas

Details Leading-order behavior of the correlation energy in the uniform electron gas Leading-order behavior of the correlation energy in the uniform electron gas

2011-02-24

arxiv.org/abs/1102.5103v3

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, accepted for publication in Int. J. Quantum Chem

Scientific paper

We show that, in the high-density limit, restricted M{\o}ller-Plesset (RMP) perturbation theory yields $E_{\text{RMP}}^{(2)} = \pi^{-2}(1-\ln 2) \ln r_s + O(r_s^0)$ for the correlation energy per electron in the uniform electron gas, where $r_s$ is the Seitz radius. This contradicts an earlier derivation which yielded $E_{\text{RMP}}^{(2)} = O(\ln|\ln r_s|)$. The reason for the discrepancy is explained.

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