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Elsevier, Physica E: Low-dimensional Systems and Nanostructures, 4(42), p. 1236-1238

DOI: 10.1016/j.physe.2009.11.126

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On the lower bound on the exchange-correlation energy in two dimensions

Journal article published in 2009 by E. Rasanen ORCID, S. Pittalis B. ORCID, C. R. Proetto B., K. Capelle D.
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This paper is available in a repository.

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Abstract

We study the properties of the lower bound on the exchange-correlation energy in two dimensions. First we review the derivation of the bound and show how it can be written in a simple density-functional form. This form allows an explicit determination of the prefactor of the bound and testing its tightness. Next we focus on finite two-dimensional systems and examine how their distance from the bound depends on the system geometry. The results for the high-density limit suggest that a finite system that comes as close as possible to the ultimate bound on the exchange-correlation energy has circular geometry and a weak confining potential with a negative curvature.