Scaling properties of one-dimensional off-diagonal disorder

Details Scaling properties of one-dimensional off-diagonal disorder Scaling properties of one-dimensional off-diagonal disorder

2006-03-10

arxiv.org/abs/cond-mat/0603294v3

J. Stat. Mech. (2006) P11006

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 7 figures

Scientific paper

10.1088/1742-5468/2006/11/P11006

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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