Exchange and correlation potential for a two-dimensional electron gas at finite temperatures

Phatisena, S. ; Amritkar, R. E. ; Panat, P. V. (1986) Exchange and correlation potential for a two-dimensional electron gas at finite temperatures Physical Review A, 34 (6). pp. 5070-5079. ISSN 1050-2947

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Official URL: http://pra.aps.org/abstract/PRA/v34/i6/p5070_1

Related URL: http://dx.doi.org/10.1103/PhysRevA.34.5070

Abstract

Calculations for an inhomogeneous electron gas using density-functional theory require suitable exchange and correlation potentials. We present here the local exchange and correlation potential (Vxc) for the two-dimensional electron gas over a wide range of temperatures and densities based upon summation of ring graphs. A suitable parametric fit for Vxc is presented which is good to within 2% of the exact values. Various limits and graphs of the polarizability are presented.

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