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Phys. Rev. Lett. 77, 2037–2040 (1996)

Current-Dependent Exchange-Correlation Potential for Dynamical Linear Response Theory

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G. Vignale
Department of Physics, University of Missouri, Columbia, Missouri 65211

Walter Kohn
Department of Physics, University of California, Santa Barbara, California 93106-4030

Received 26 April 1996; published in the issue dated 2 September 1996

The frequency-dependent exchange-correlation potential, which appears in the usual Kohn-Sham formulation of a time-dependent linear response problem, is a strongly nonlocal functional of the density, so that a consistent local density approximation generally does not exist. This problem can be avoided by choosing the current density as the basic variable in a generalized Kohn-Sham theory. This theory admits a local approximation which, for fixed frequency, is exact in the limit of slowly varying densities and perturbing potentials.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.2037
DOI:
10.1103/PhysRevLett.77.2037
PACS:
71.45.Gm, 73.20.Dx, 73.20.Mf, 78.30.Fs