Is the Local Density Approximation Exact for Short Wavelength Fluctuations? (bibtex)

by Kieron Burke, John P. Perdew and Langreth, David C.

Abstract:

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\textquoterights atom). Nevertheless, we find that LSD is rather accurate for small separations.

DOI link

Reference:

Is the Local Density Approximation Exact for Short Wavelength Fluctuations? Kieron Burke, John P. Perdew and Langreth, David C., Phys. Rev. Lett. 73, 1283-1286 (1994).

Bibtex Entry:

@article{BPL94,
	Pub-num = {012},
	Abstract = {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{\textquoteright}s atom). Nevertheless, we find that LSD is rather accurate for small separations.},
	Author = {Kieron Burke and John P. Perdew and Langreth, David C.},
	Date-Modified = {2013-02-12 00:16:04 +0000},
	Doi = {10.1103/PhysRevLett.73.1283},
	Journal = {Phys. Rev. Lett.},
	Month = {Aug},
	Number = {9},
	Pages = {1283-1286},
	Publisher = {American Physical Society},
	Title = {Is the Local Density Approximation Exact for Short Wavelength Fluctuations?},
	url = {https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.73.1283},
	Volume = {73},
	Year = {1994},
	Bdsk-Url-1 = {http://dx.doi.org/10.1103/PhysRevLett.73.1283}}