Scaling and the Center-of-Band Anomaly in a One-Dimensional Anderson Model with Diagonal Disorder

2003/04/30 by Lev Deych, L. I. Deych, Mikhail Erementchouk +3
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum many-body systems #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevlett.91.096601

published as Phys. Rev. Lett. 91, 096601 (2003) · revised version, 4 pages, 2 figures, revtex

openalex publication_date 2003/08/27 · arxiv created 2003/09/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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