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Perturbation Theory for Lyapunov Exponents of an Anderson Model on a Strip

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Abstract.

It is proven that the inverse localization length of an Anderson model on a strip of width L is bounded above by L/λ2 for small values of the coupling constant λ of the disordered potential. For this purpose, a formalism is developed in order to calculate the bottom Lyapunov exponent associated with random products of large symplectic matrices perturbatively in the coupling constant of the randomness.

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  1. Institut für Mathematik, Technische Universität Berlin, 10623, Berlin, Germany

    H. Schulz-Baldes

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  1. H. Schulz-Baldes
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Correspondence to H. Schulz-Baldes.

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Schulz-Baldes, H. Perturbation Theory for Lyapunov Exponents of an Anderson Model on a Strip. Geom. funct. anal. 14, 1089–1117 (2004). https://doi.org/10.1007/s00039-004-0484-5

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  • DOI: https://doi.org/10.1007/s00039-004-0484-5

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