Scaling properties of one-dimensional off-diagonal disorder
arXiv:cond-mat/0603294 · doi:10.1088/1742-5468/2006/11/P11006
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.
arXiv comment7 pages, 7 figures
References in corpus (21)
- Metallic behavior and related phenomena in two dimensions
- Single parameter scaling in one-dimensional localization revisited
- The two-dimensional Anderson model of localization with random hopping
- Exact results for quantum phase transitions in random XY spin chains
- Band-center anomaly of the conductance distribution in one-dimensional Anderson localization
- Single parameter scaling in 1-D Anderson localization. Exact analytical solution
- Density of states in coupled chains with off-diagonal disorder
- Localization-delocalization transition in a one-dimensional system with long-range correlated off-diagonal disorder
- Scaling and the center of band anomaly in a one-dimensional Anderson model with diagonal disorder
- Fluctuations of the Lyapunov exponent in 2D disordered systems
- Anderson localization in bipartite lattices
- Nonuniversality in quantum wires with off-diagonal disorder: a geometric point of view
- Exponents of the localization lengths in the bipartite Anderson model with off-diagonal disorder
- Crossover from the chiral to the standard universality classes in the conductance of a quantum wire with random hopping only
- Scaling in the one-dimensional Anderson localization problem in the region of fluctuation states
- Sublocalization, superlocalization, and violation of standard single parameter scaling in the Anderson model
- One-dimensional tight-binding models with correlated diagonal and off-diagonal disorder
- Failure of single-parameter scaling of wave functions in Anderson localization
- Statistics of transmission in one-dimensional disordered systems: universal characteristics of states in the fluctuation tails
- Statistical properties of a localization-delocalization transition induced by correlated disorder
- Divergences of the localization lengths in the two- dimensional, off-diagonal Anderson model on bipartite lattices