Construction of a dispersion relation from an arbitrary density of states

Details Construction of a dispersion relation from an arbitrary density of states Construction of a dispersion relation from an arbitrary density of states

2001-05-03

arxiv.org/abs/cond-mat/0105068v2

Int. J. Mod. Phys. B 16, 3491 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 4 figures; published version

Scientific paper

10.1142/S0217979202011937

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.

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