title: 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.
authors.affiliation: Physics Department, Queens College of the City, University of New York, Flushing, NY 11367, USA.
authors.forename: L I
authors.initials: LI
authors.lastname: Deych
authors.forename: M V
authors.initials: MV
authors.lastname: Erementchouk
authors.forename: A A
authors.initials: AA
authors.lastname: Lisyansky
authors.forename: B L
authors.initials: BL
authors.lastname: Altshuler