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's atom). Nevertheless, we find that LSD is rather accurate for small separations.

Keywords

PhysicsWavelengthLocal-density approximationStatistical physicsExact solutions in general relativitySpin densityAtom (system on chip)Quantum mechanicsComputational physicsQuantum electrodynamicsDensity functional theoryCondensed matter physics

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Publication Info

Year
1994
Type
article
Volume
73
Issue
9
Pages
1283-1286
Citations
65
Access
Closed

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Kieron Burke, John P. Perdew, David C. Langreth (1994). Is the Local Density Approximation Exact for Short Wavelength Fluctuations?. Physical Review Letters , 73 (9) , 1283-1286. https://doi.org/10.1103/physrevlett.73.1283

Identifiers

DOI
10.1103/physrevlett.73.1283