Weak disorder expansion for localization lengths of quasi-1D systems
Römer RA, Schulz-Baldes H (2004)
Publication Type: Journal article
Publication year: 2004
Journal
Publisher: Institute of Physics: EPL
Book Volume: 68
Pages Range: 247-253
URI: http://de.arxiv.org/abs/cond-mat/0405125
DOI: 10.1209/epl/i2004-10190-9
Abstract
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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APA:
Römer, R.A., & Schulz-Baldes, H. (2004). Weak disorder expansion for localization lengths of quasi-1D systems. EPL - Europhysics Letters, 68, 247-253. https://dx.doi.org/10.1209/epl/i2004-10190-9
MLA:
Römer, Rudolf A., and Hermann Schulz-Baldes. "Weak disorder expansion for localization lengths of quasi-1D systems." EPL - Europhysics Letters 68 (2004): 247-253.
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