Anderson localization due to random magnetic field in two dimensions

Details Anderson localization due to random magnetic field in two dimensions Anderson localization due to random magnetic field in two dimensions

1998-08-06

arxiv.org/abs/cond-mat/9808059v3

Phys.Rev.Lett.82:604,1999

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 figures, extensive revision made, but no change in conclusion

Scientific paper

10.1103/PhysRevLett.82.604

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.

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