Unified description of perturbation theory and band center anomaly in one-dimensional Anderson localization

Details Unified description of perturbation theory and band center anomaly in one-dimensional Anderson localization Unified description of perturbation theory and band center anomaly in one-dimensional Anderson localization

2010-08-18

arxiv.org/abs/1008.3084v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 6 figures

Scientific paper

We calculated numerically the localization length of one-dimensional Anderson model with diagonal disorder. For weak disorder, we showed that the localization length changes continuously as the energy changes from the band center to the boundary of the anomalous region near the band edge. We found that all the localization lengths for different disorder strengths and different energies collapse onto a single curve, which can be fitted by a simple equation. Thus the description of the perturbation theory and the band center anomaly were unified into this equation.

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