Orbital-free energy functional for electrons in two dimensions
Strongly Correlated Electrons
2009-10-09 v3 Materials Science
Abstract
We derive a non-empirical, orbital-free density functional for the total energy of interacting electrons in two dimensions. The functional consists of a local formula for the interaction energy, where we follow the lines introduced by Parr for three-dimensional systems [R. G. Parr, J. Phys. Chem. 92, 3060 (1988)], and the Thomas-Fermi approximation for the kinetic energy. The freedom from orbitals and from the Hartree integral makes the proposed approximation numerically highly efficient. The total energies obtained for confined two-dimensional systems are in a good agreement with the standard local-density approximation within density-functional theory, and considerably more accurate than the Thomas-Fermi approximation.
Cite
@article{arxiv.0908.2732,
title = {Orbital-free energy functional for electrons in two dimensions},
author = {S. Pittalis and E. Rasanen},
journal= {arXiv preprint arXiv:0908.2732},
year = {2009}
}