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Scaling properties of one-dimensional off-diagonal disorder

Hosein Cheraghchi
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Abstract

Validity of the single parameter scaling (SPS) in one dimensional Anderson model with purely off-diagonal disorder is being studied. It is shown that the localized region with standard symmetry is divided into two regimes: SPS and non-SPS. Scaling relations of the Lyapunov Exponent are proposed for these two regimes. In the non-SPS regime, in additional to the localization length, there exists a new length scale which is related to the integrated density of states. A physical interpretation of the new length is the cross-over length which separates regions with chiral symmetry from those that have standard symmetry.

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Hosein Cheraghchi. 2006-09-12. Scaling properties of one-dimensional off-diagonal disorder. https://doi.org/10.1088/1742-5468%2F2006%2F11%2Fp11006

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