Degeneracy in Density Functional Theory: Topology in v- and n-Space

Details Degeneracy in Density Functional Theory: Topology in v- and n-Space Degeneracy in Density Functional Theory: Topology in v- and n-Space

2002-04-24

arxiv.org/abs/cond-mat/0204513v1

Physics

Condensed Matter

Materials Science

4 pages, 4 figures (1 color)

Scientific paper

10.1103/PhysRevLett.89.156401

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.

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