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

L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, B. L. Altshuler

Published 2003-04-18, updated 2003-09-08Version 2

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.