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19 April 2024
 
  » arxiv » 1008.5160

 Article overview


Simple exchange-correlation potential with a proper long-range behavior for low-dimensional nanostructures
S. Pittalis ; E. Rasanen ;
Date 30 Aug 2010
AbstractThe exchange-correlation potentials stemming from the local-density approximation and several generalized-gradient approximations are known to have incorrect asymptotic decay. This failure is independent of the dimensionality, but so far the problem has been corrected -- within the mentioned approximations -- only in three dimensions. Here we provide a cured exchange-correlation potential in two dimensions, where the applications have a continuously increasing range in, e.g., semiconductor physics. The given potential is a generalized-gradient approximation, which is as easy to apply as the local-density approximation. We demonstrate that the corrected potential agrees very well with the analytic result of a two-electron quantum dot in the asymptotic regime, and yields plausible exchange-correlation potentials for larger two-dimensional systems.
Source arXiv, 1008.5160
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