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Dimensionality dependence of the self-interaction correction in the local-density approximation to density functional theory

AuthorsNagy, Istvan; Echenique, Pedro M.
Issue Date2010
PublisherAmerican Physical Society
CitationPhysical Review B 81(11): 113109 (2010)
AbstractThe local-density approximation (LDA) to density functional theory is not self-interaction free. Motivated by this intellectual challenge, and the possible practical importance of strong electron-correlation in a Wigner-type model, the capability of LDA is investigated for a two-dimensional electron system in the low-density limit. It is found for this essentially single-electron limit that the performance of LDA is slightly better in two dimension than in the equivalent three-dimensional problem treated earlier in Phys. Rev. B 18 6506 (1978). An a priori explanation of this fact is given in terms of the different characters of potential fields generated by normalized charge distributions in these dimensions.
Description3 páginas.-- PACS number(s): 71.10.-w, 71.45.Gm, 71.15.Mb
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevB.81.113109
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