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

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

2011-12-12

arxiv.org/abs/1112.2538v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

23 pages, 4 figures

Scientific paper

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.

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