Perturbation theory for Lyapunov exponents of an Anderson model on a strip
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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