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28 March 2024
 
  » arxiv » cond-mat/9808059

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Anderson localization due to random magnetic field in two dimensions
A. Furusaki ;
Date 6 Aug 1998
Journal Phys.Rev.Lett. 82 (1999) 604
Subject Mesoscopic Systems and Quantum Hall Effect; Disordered Systems and Neural Networks | cond-mat.mes-hall cond-mat.dis-nn
AbstractResults 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.
Source arXiv, cond-mat/9808059
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