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Scaling Diagram for the Localization Length at a Band Edge

2007; Birkhäuser; Volume: 8; Issue: 8 Linguagem: Inglês

10.1007/s00023-007-0347-3

1424-0661

Christian Sadel, Hermann Schulz‐Baldes,

Random Matrices and Applications

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.