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29 March 2024
 
  » arxiv » 1003.3681

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Localized versus extended systems in density-functional theory: some lessons from the Kohn-Sham exact exchange potential
C. M. Horowitz ; C. R. Proetto ; J. M. Pitarke ;
Date 18 Mar 2010
AbstractA long-standing puzzle in density-functional theory is the issue of the long-range behavior of the Kohn-Sham exchange-correlation potential at metal surfaces. As an important step towards its solution, it is proved here, through a rigurouos asymptotic analysis and accurate numerical solution of the Optimized-Effective-Potential integral equation, that the Kohn-Sham exact exchange potential decays as $ln(z)/z$ far into the vacuum side of an {it extended} semi-infinite jellium. In contrast to the situation in {it localized} systems, like atoms, molecules, and slabs, this dominant contribution does not arise from the so-called Slater potential. This exact-exchange result provides a strong constraint on the suitability of approximate correlation-energy functionals.
Source arXiv, 1003.3681
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