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- Title
Construction of a Dispersion Relation from an Arbitrary Density of States.
- Authors
Kollar, Marcus
- Abstract
The dispersion relations of energy bands in solids are characterized by their density of states, but a given density of states may originate from various band structures. We show how a spherically symmetric dispersion can be constructed for any one-band density of states. This method is applied to one-, two- and three-dimensional systems. It also serves to establish that any one-band spectrum with finite bandwidth can be obtained from a properly scaled dispersion relation in the limit of infinite dimensions.
- Subjects
ELECTRON distribution; FIELD theory (Physics)
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2002, Vol 16, Issue 23, p3491
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979202011937