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Anderson localization due to random magnetic field in two dimensions

A. Furusaki
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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.

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A. Furusaki. 1998-11-12. Anderson localization due to random magnetic field in two dimensions. https://doi.org/10.1103/physrevlett.82.604

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