Antiadiabatic limit of the exchange-correlation kernels of an inhomogeneous electron gas

V. U. Nazarov, I. V. Tokatly, S. Pittalis, G. Vignale

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

We express the high-frequency (antiadiabatic) limit of the exchange-correlation (xc) kernels of an inhomogeneous electron gas in terms of the following equilibrium properties: the ground-state density, the xc kinetic stress tensor, the pair-correlation function and the ground-state xc potential. Of these quantities, the first three are amenable to exact evaluation by quantum Monte Carlo methods while the last can be obtained from the inversion of the Kohn-Sham equation for the ground-state orbitals. The exact scalar kernel, in this limit, is found to be of very long range in space, at variance with the kernel that is used in the standard local density approximation. The antiadiabatic xc kernels will be useful in calculations of excitation energies by time-dependent density-functional theory in atoms, molecules, and solids, and provide a solid basis for interpolation between the low- and high-frequency limits of the xc kernels.

Original languageAmerican English
Article number245101
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume81
Issue number24
DOIs
StatePublished - 2 Jun 2010
Externally publishedYes

Fingerprint

Dive into the research topics of 'Antiadiabatic limit of the exchange-correlation kernels of an inhomogeneous electron gas'. Together they form a unique fingerprint.

Cite this