Lower Bounds on the Exchange-Correlation Energy in Reduced Dimensions
Strongly Correlated Electrons
2009-05-21 v2 Mesoscale and Nanoscale Physics
Materials Science
Chemical Physics
Abstract
Bounds on the exchange-correlation energy of many-electron systems are derived and tested. By using universal scaling properties of the electron-electron interaction, we obtain the exponent of the bounds in three, two, one, and quasi-one dimensions. From the properties of the electron gas in the dilute regime, the tightest estimate to date is given for the numerical prefactor of the bound, which is crucial in practical applications. Numerical tests on various low-dimensional systems are in line with the bounds obtained, and give evidence of an interesting dimensional crossover between two and one dimensions.
Cite
@article{arxiv.0902.1416,
title = {Lower Bounds on the Exchange-Correlation Energy in Reduced Dimensions},
author = {E. Rasanen and S. Pittalis and K. Capelle and C. R. Proetto},
journal= {arXiv preprint arXiv:0902.1416},
year = {2009}
}