Unified description of perturbation theory and band center anomaly in one-dimensional Anderson localization
arXiv:1008.3084 · doi:10.1016/j.physleta.2011.08.015
Abstract
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.
10 pages, 6 figures
References in corpus (6)
- Anderson Transitions
- Band-center anomaly of the conductance distribution in one-dimensional Anderson localization
- Scaling and the center of band anomaly in a one-dimensional Anderson model with diagonal disorder
- Scaling in the one-dimensional Anderson localization problem in the region of fluctuation states
- Crossover of conductance and local density of states in a single-channel disordered quantum wire
- Quantum transfer matrix method for one-dimensional disordered electronic systems