Anderson localization due to random magnetic field in two dimensions
Mesoscale and Nanoscale Physics
2009-01-23 v3 Disordered Systems and Neural Networks
Abstract
Results of large-scale numerical simulations are reported on the Anderson localization in a two-dimensional square lattice tight-binding model with random flux. Localization lengths, fluctuations of the conductance, and the density of states are computed for quasi-one-dimensional geometry. Numerical results indicate that the model exhibits the same critical behavior as the one studied by Gade and Wegner. It is argued that all the states except a zero-energy state are localized and the density of states has a singularity in the center of the band. The energy scale below which the density of states increases is found to be extremely small.
Keywords
Cite
@article{arxiv.cond-mat/9808059,
title = {Anderson localization due to random magnetic field in two dimensions},
author = {A. Furusaki},
journal= {arXiv preprint arXiv:cond-mat/9808059},
year = {2009}
}
Comments
4 pages, 5 figures, extensive revision made, but no change in conclusion