Scaling relations, virial theorem and energy densities for long-range and short-range density functionals

Abstract

We analyze a decomposition of the Coulomb electron-electron interaction into a long-range and a short-range part in the framework of density functional theory, deriving some scaling relations and the corresponding virial theorem. We study the behavior of the local density approximation in the high-density limit for the long-range and the short-range functionals by carrying out a detailed analysis of the correlation energy of a uniform electron gas interacting via a long-range only electron-electron repulsion. Possible definitions of exchange and correlation energy densities are discussed and clarified with some examples.

7 pages, 3 figures

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
• Van der Waals forces in density functional theory: perturbational long-range electron interaction corrections
• Simple model of the static exchange-correlation kernel of a uniform electron gas with long-range electron-electron interaction

Cited by in corpus (5)

• A general range-separated double-hybrid density-functional theory
• Relevance of coordinate and particle-number scaling in density functional theory
• Double hybrid density-functional theory using the Coulomb-attenuating method
• Linear-response range-separated density-functional theory for atomic photoexcitation and photoionization spectra
• Relativistic short-range exchange energy functionals beyond the local-density approximation