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

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

2003-04-18

arxiv.org/abs/cond-mat/0304440v2

Phys. Rev. Lett. 91, 096601 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

revised version, 4 pages, 2 figures, revtex

Scientific paper

10.1103/PhysRevLett.91.096601

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.

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