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

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

2009-09-02

arxiv.org/abs/0909.0415v2

Physica E 42, 1236 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1016/j.physe.2009.11.126

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.

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