Construction of a dispersion relation from an arbitrary density of states

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.

11 pages, 4 figures; published version

References in corpus (1)

• Finite temperature numerical renormalization group study of the Mott-transition

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