Exact Dynamical Exchange-Correlation Kernel of a Weakly Inhomogeneous Electron Gas

V. U. Nazarov, G. Vignale, and Y.-C. Chang
Phys. Rev. Lett. 102, 113001 – Published 18 March 2009

Abstract

The dynamical exchange-correlation kernel fxc of a nonuniform electron gas is an essential input for the time-dependent density-functional theory of electronic systems. The long-wavelength behavior of this kernel is known to be of the form fxc=α/q2 where q is the wave vector and α is a frequency-dependent coefficient. We show that in the limit of weak nonuniformity the coefficient α has a simple and exact expression in terms of the ground-state density and the frequency-dependent kernel of a uniform electron gas at the average density. We present an approximate evaluation of this expression for Si and discuss its implications for the theory of excitonic effects.

  • Figure
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  • Received 26 November 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.113001

©2009 American Physical Society

Authors & Affiliations

V. U. Nazarov1,2, G. Vignale3, and Y.-C. Chang1

  • 1Research Center for Applied Sciences, Academia Sinica, Taipei 115, Taiwan
  • 2Department of Physical Chemistry, Far-Eastern National Technical University, 10 Pushkinskaya Street, Vladivostok 690950, Russia
  • 3Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA

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Issue

Vol. 102, Iss. 11 — 20 March 2009

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