Simple model of the static exchange-correlation kernel of a uniform electron gas with long-range electron-electron interaction - Sorbonne Université Access content directly
Journal Articles Physical Review B: Condensed Matter and Materials Physics (1998-2015) Year : 2005

Simple model of the static exchange-correlation kernel of a uniform electron gas with long-range electron-electron interaction

Abstract

A simple approximate expression in real and reciprocal spaces is given for the static exchange-correlation kernel of a uniform electron gas interacting with the long-range part only of the Coulomb interaction. This expression interpolates between the exact asymptotic behaviors of this kernel at small and large wave vectors which in turn requires, among other things, information from the momentum distribution of the uniform electron gas with the same interaction that have been calculated in the G0W0 approximation. This exchange-correlation kernel as well as its complement analog associated to the short-range part of the Coulomb interaction are more local than the Coulombic exchange-correlation kernel and constitute potential ingredients in approximations for recent adiabatic connection fluctuation-dissipation and/or density functional theory approaches of the electronic correlation problem based on a separate treatment of long- and short-range interaction effects.
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Dates and versions

hal-00981838 , version 1 (22-04-2014)

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Julien Toulouse. Simple model of the static exchange-correlation kernel of a uniform electron gas with long-range electron-electron interaction. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2005, 72, pp.035117. ⟨10.1103/PhysRevB.72.035117⟩. ⟨hal-00981838⟩
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