| Autor: |
Rasanen, E., Pittalis, S., Proetto, C. R., Capelle, K. |
| Rok vydání: |
2009 |
| Předmět: |
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| Zdroj: |
Physica E 42, 1236 (2010) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.physe.2009.11.126 |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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