Physics – Condensed Matter – Materials Science
Scientific paper
2010-03-18
Physics
Condensed Matter
Materials Science
4 pages and 2 figures, to appear in Phys. Rev. B
Scientific paper
A 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.
Horowitz Claudio M.
Pitarke J. M.
Proetto Cesar R.
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