Self-consistent Overhauser model for the pair distribution function of an electron gas at finite temperature

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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6 pages, 5 figures, submitted to Solid State Communications

Scientific paper

10.1016/j.ssc.2004.11.004

We present calculations of the spin-averaged pair distribution function $g(r)$ in a homogeneous gas of electrons moving in dimensionality D=3 or D=2 at finite temperature. The model involves the solution of a two-electron scattering problem via an effective potential which embodies many-body effects through a self-consistent Hartree approximation, leading to two-body wave functions to be averaged over a temperature-dependent distribution of relative momentum for electron pairs. We report illustrative numerical results for $g(r)$ in an intermediate-coupling regime and interpret them in terms of changes of short-range order with increasing temperature.

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