Scaling diagram for the localization length at a band edge

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Abstract

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 Prüfer phases. © 2007 Birkhaueser.

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Sadel, C., & Schulz-Baldes, H. (2007). Scaling diagram for the localization length at a band edge. Annales Henri Poincare, 8(8), 1595–1621. https://doi.org/10.1007/s00023-007-0347-3

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