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

I. Nagy and P. M. Echenique
Phys. Rev. B 81, 113109 – Published 26 March 2010

Abstract

The 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.

  • Received 30 September 2009

DOI:https://doi.org/10.1103/PhysRevB.81.113109

©2010 American Physical Society

Authors & Affiliations

I. Nagy1,2 and P. M. Echenique2,3

  • 1Department of Theoretical Physics, Institute of Physics, Technical University of Budapest, H-1521 Budapest, Hungary
  • 2Donostia International Physics Center (DIPC), P. Manuel de Lardizabal 4, 20018 San Sebastián, Spain
  • 3Departamento de Física de Materiales and Centro Mixto CSIC-UPV/EHU, Facultad de Ciencias Químicas, Universidad del País Vasco, Apdo. 1072, 20080 Sebastián, Spain

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Issue

Vol. 81, Iss. 11 — 15 March 2010

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