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math-ph2007
Positive Lyapunov exponents and localization bounds for strongly mixing potentials
Christian Sadel, Hermann Schulz-Baldes
For a one-dimensional discrete Schrödinger operator with a weakly coupled potential given by a strongly mixing dynamical system with power law decay of correlations, we derive for…
math-ph2007★ 11 cited
Scaling diagram for the localization length at a band edge
Christian Sadel, Hermann Schulz-Baldes
A weak-coupling scaling diagram for the Lyapunov exponent and the integrated density of states near a band edge of a random Jacobi matrix is obtained. The analysis is based on the…