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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
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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.

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L. I. Deych, M. V. Erementchouk, A. A. Lisyansky, B. L. Altshuler. 2003-09-08. Scaling and the center of band anomaly in a one-dimensional Anderson model with diagonal disorder. https://doi.org/10.1103/physrevlett.91.096601

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