Phys. Rev. Lett. 73, 1283 - 1286 (1994)

Is the Local Density Approximation Exact for Short Wavelength Fluctuations?

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Kieron Burke and John P. Perdew
Department of Physics and Quantum Theory Group, Tulane University, New Orleans, Louisiana 70118

David C. Langreth
Department of Physics and Astronomy, Rutgers University, P.O. Box 849, Piscataway, New Jersey 08855-0849

Received 24 February 1994

A commonly cited reason for the success of the local spin density (LSD) approximation is that it correctly accounts for short wavelength contributions to the exchange-correlation energy. We show that this result, while true in several limits and for several approximations to these fluctuations, is not exact in general, with an analytic demonstration on a specific system (Hooke's atom). Nevertheless, we find that LSD is rather accurate for small separations.


©1994 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.73.1283
DOI: 10.1103/PhysRevLett.73.1283
PACS: 71.45.Gm, 31.20.Sy, 71.10.+x

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