Anomalous localisation near the band centre in the 1D Anderson model: Hamiltonian map approach

Abstract

We present a full analytical solution for the localisation length in the one-dimensional Anderson model with weak diagonal disorder in the vicinity of the band centre. The results are obtained with the Hamiltonian map approach that turns out to be more effective than other known methods. The analytical expressions are supported by numerical data. We also discuss the implications of our results for the single-parameter scaling hypothesis.

23 pages, 4 figures

References in corpus (3)

• Anomalous Localization in Low-Dimensional Systems with Correlated Disorder
• Band-center anomaly of the conductance distribution in one-dimensional Anderson localization
• Scaling and the center of band anomaly in a one-dimensional Anderson model with diagonal disorder

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