Physics – Condensed Matter – Materials Science
Scientific paper
2009-06-27
Phys. Rev. B 78, 155106 (2008)
Physics
Condensed Matter
Materials Science
6 pages, 5 figures
Scientific paper
Commonly used semilocal density functional approximations for the exchange-correlation energy fail badly when the true two dimensional limit is approached. We show, using a quasi-two-dimensional uniform electron gas in the infinite barrier model, that the semilocal level can correctly recover the exchange-correlation energy of the two-dimensional uniform electron gas. We derive new exact constraints at the semilocal level for the dimensional crossover of the exchange-correlation energy and we propose a method to incorporate them in any exchange-correlation density functional approximation.
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