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Levitation and percolation in quantum Hall systems with correlated disorder
2007
Physical Review B
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We investigate the integer quantum Hall system in a two dimensional lattice model with spatially correlated disorder by using the efficient method to calculate the Chern number proposed by Fukui et al. Distribution of charge density indicates that the extended states at the center of each Landau band have percolating current paths, which are topologically equivalent to the edge states that exist in a system with boundaries. As increasing the strength of disorder, floating feature is observed in
doi:10.1103/physrevb.76.132202
fatcat:mo2ksfedmncxvhiw35dnxtuoay