H. Schulz-Baldes
Perturbation theory for Lyapunov exponents
of an Anderson model on a strip
(1822K, Postscript)
ABSTRACT. It is proven that the localization length of an Anderson model on a
strip of width $L$ is bounded above by $L/\lambda^2$ for small values
of the coupling constant $\lambda$ of the disordered potential. For
this purpose, a new 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.