Scaling and the center of band anomaly in a one-dimensional Anderson model with diagonal disorder

Abstract

We resolve the problem of the violation of single parameter scaling at the zero energy of the Anderson tight-binding model with diagonal disorder. It follows from the symmetry properties of the tight-binding Hamiltonian that this spectral point is in fact a boundary between two adjacent bands. The states in the vicinity of this energy behave similarly to states at other band boundaries, which are known to violate single parameter scaling.

revised version, 4 pages, 2 figures, revtex