Degeneracy in Density Functional Theory: Topology in v- and n-Space
Materials Science
2009-11-07 v1 Mesoscale and Nanoscale Physics
Abstract
This paper clarifies the topology of the mapping between v- and n-space in fermionic systems. Density manifolds corresponding to degeneracies g=1 and g>1 are shown to have the same mathematical measure: every density near a g-ensemble-v-representable (g-VR) n(r) is also g-VR (except ``boundary densities'' of lower measure). The role of symmetry and the connection between T=0 and T=0+ are discussed. A lattice model and the Be-series are used as illustrations.
Cite
@article{arxiv.cond-mat/0204513,
title = {Degeneracy in Density Functional Theory: Topology in v- and n-Space},
author = {C. A. Ullrich and W. Kohn},
journal= {arXiv preprint arXiv:cond-mat/0204513},
year = {2009}
}
Comments
4 pages, 4 figures (1 color)