Local-energy density functionals for an N-dimensional electronic system in a magnetic field
Mesoscale and Nanoscale Physics
2007-05-23 v2
Abstract
We present a general approach for the construction of the exact local-energy-density functionals for a uniform N-dimensional electronic system in a magnetic field. For arbitrary dimension, we obtain explicit expressions for the matter, kinetic, and exchange density functionals. In the zero-field limit, we recover the usual N-dimensional Thomas-Fermi theory. As an application of our results, we develop a current-density-functional theory, in the spirit of the Thomas-Fermi-Dirac approximation, for an inhomogeneous many-electron system in a magnetic field.
Keywords
Cite
@article{arxiv.cond-mat/9907083,
title = {Local-energy density functionals for an N-dimensional electronic system in a magnetic field},
author = {B. P. van Zyl},
journal= {arXiv preprint arXiv:cond-mat/9907083},
year = {2007}
}
Comments
9 pages, RevTeX, 1 eps figure included in the text