The three-dimensional electron gas at the weak-correlation limit: how peculiarities of the momentum distribution and the static structure factor give rise to logarithmic non-analyticities in the kinetic and potential correlation energies

P. Ziesche and J. Cioslowski

Physica A: Statistical Mechanics and its Applications, 2005, vol. 356, issue 2, 598-608

Abstract: Partial summations of the ring diagrams for the momentum distribution n(k) and the static structure factor S(q) of the uniform three-dimensional electron gas at the weak-correlation limit are revisited. New light is shed on the thus-far overlooked properties of n(k) and S(q). In particular, it is elucidated how the peculiar behavior of n(k) near the Fermi surface and of S(q) near its q-space origin give rise to the logarithmic divergences in the kinetic and potential energies, respectively. Moreover, the trajectory of the inflexion point of S(q) and the jump discontinuity of S″(q) at q=2 are analyzed.

Keywords: Electron gas; Correlation energy; Momentum distribution; Static structure factor (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:356:y:2005:i:2:p:598-608

DOI: 10.1016/j.physa.2005.04.006

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