Scaling diagram for the localization length at a band edge
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🧮 math-ph
math.MP
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banddiagramedgescalinganalysisdensitydescribingdrift-diffusion
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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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