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

dc.creatorRoemer, Rudolf A.
dc.creatorSchulz-Baldes, Hermann
dc.date2004-05-06
dc.date.accessioned2026-07-07T02:58:01Z
dc.date.available2026-07-07T02:58:01Z
dc.descriptionA 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.
dc.description4 pages with 5 .eps figures included
dc.identifierhttps://arxiv.org/abs/cond-mat/0405125
dc.identifierhttp://arxiv.org/abs/cond-mat/0405125
dc.identifierEurophys. Lett. 68, 247-253 (2004).
dc.identifierdoi:10.1209/epl/i2004-10190-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23908
dc.subjectDisordered Systems and Neural Networks
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.titleWeak disorder expansion for localization lengths of quasi-1D systems
dc.typetext

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