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 thing, 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 analogue 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-range and short-range interaction effects.

14 pages, 14 figures, to be published in Phys. Rev. B

References in corpus (4)

• Long-range/short-range separation of the electron-electron interaction in density functional theory
• A density functional theory with correct long-range asymptotic behavior
• Short-range exchange and correlation energy density functionals: beyond the local density approximation
• A local density functional for the short-range part of the electron-electron interaction

Cited by in corpus (6)

• Adiabatic-connection fluctuation-dissipation DFT for the structural properties of solids-the renormalized ALDA and electron gas kernels
• Accurate ground state- and quasiparticle energies: beyond the RPA and GW methods with adiabatic exchange-correlation kernels
• Scaling relations, virial theorem and energy densities for long-range and short-range density functionals
• Complex energy approaches for calculating isobaric analogue states
• Short-range correlation energy of the relativistic homogeneous electron gas
• Physical condition and spin-resolved exchange correlation kernels in an inhomogeneous many electron system