Scaling diagram for the localization length at a band edge

Physics – Mathematical Physics

Scientific paper

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Scientific paper

10.1007/s00023-007-0347-3

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 use of a Fokker-Planck operator describing the
drift-diffusion of the Pr\"ufer phases.

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