CONSTRUCTION OF A DISPERSION RELATION FROM AN ARBITRARY DENSITY OF STATES

MARCUS KOLLAR
2002 International Journal of Modern Physics B  
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.
doi:10.1142/s0217979202011937 fatcat:sbzexn65anh4zj7dc7ampht334