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Comment on `Exact analytical solution for the generalized Lyapunov exponent of the two-dimensional Anderson localization'

P. Markoš·L. Schweitzer·M. Weyrauch
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Abstract

In a recent publication, J. Phys.: Condens. Matt. 14 13777 (2002), Kuzovkov et. al. announced an analytical solution of the two-dimensional Anderson localisation problem via the calculation of a generalised Lyapunov exponent using signal theory. Surprisingly, for certain energies and small disorder strength they observed delocalised states. We study the transmission properties of the same model using well-known transfer matrix methods. Our results disagree with the findings obtained using signal theory. We point to the possible origin of this discrepancy and comment on the general strategy to use a generalised Lyapunov exponent for studying Anderson localisation.

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P. Markoš, L. Schweitzer, M. Weyrauch. 2004-02-03. Comment on `Exact analytical solution for the generalized Lyapunov exponent of the two-dimensional Anderson localization'. https://doi.org/10.1088/0953-8984%2F16%2F9%2Fn01

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