Weak disorder expansion for localization lengths of quasi-1D systems

Details Weak disorder expansion for localization lengths of quasi-1D systems Weak disorder expansion for localization lengths of quasi-1D systems

2004-05-06

arxiv.org/abs/cond-mat/0405125v1

Europhys. Lett. 68, 247-253 (2004).

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages with 5 .eps figures included

Scientific paper

10.1209/epl/i2004-10190-9

A perturbative formula for the lowest Lyapunov exponent of an Anderson model on a strip is presented. It is expressed in terms of an energy dependent doubly stochastic matrix, the size of which is proportional to the strip width. This matrix and the resulting perturbative expression for the Lyapunov exponent are evaluated numerically. Dependence on energy, strip width and disorder strength are thoroughly compared with the results obtained by the standard transfer matrix method. Good agreement is found for all energies in the band of the free operator and this even for quite large values of the disorder strength.

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