Construction of a dispersion relation from an arbitrary density of states
Strongly Correlated Electrons
2016-08-31 v2
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.
Keywords
Cite
@article{arxiv.cond-mat/0105068,
title = {Construction of a dispersion relation from an arbitrary density of states},
author = {Marcus Kollar},
journal= {arXiv preprint arXiv:cond-mat/0105068},
year = {2016}
}
Comments
11 pages, 4 figures; published version