Strictly correlated uniform electron droplets
Abstract
We study the energetic properties of finite but internally homogeneous D-dimensional electron droplets in the strict-correlation limit. The indirect Coulomb interaction is found to increase as a function of the electron number, approaching the tighter forms of the Lieb-Oxford bound recently proposed by Rasanen et al. [Phys. Rev. Lett. 102, 206406 (2009)]. The bound is satisfied in three-, two-, and one-dimensional droplets, and in the latter case it is reached exactly - regardless of the type of interaction considered. Our results provide useful reference data for delocalized strongly correlated systems, and they can be used in the development and testing of exchange-correlation density functionals in the framework of density-functional theory.
Keywords
Cite
@article{arxiv.1101.6049,
title = {Strictly correlated uniform electron droplets},
author = {E. Rasanen and M. Seidl and P. Gori-Giorgi},
journal= {arXiv preprint arXiv:1101.6049},
year = {2011}
}