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Scaling in the one-dimensional Anderson localization problem in the region of fluctuation states | | L. I. Deych
; M. V. Erementchouk
; A. A. Lisyansky
; | | Date: |
5 Jul 2002 | | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn | | Abstract: | We numerically study the distribution function of the conductivity (transmission) in the one-dimensional tight-binding Anderson model in the region of fluctuation states. We show that while single parameter scaling in this region is not valid, the distribution can still be described within a scaling approach based upon the ratio of two fundamental quantities, the localization length, $l_{loc}$, and a new length, $l_s$, related to the integral density of states. In an intermediate interval of the system’s length $L$, $l_{loc}ll Lll l_s$, the variance of the Lyapunov exponent does not follow the predictions of the central limit theorem, and may even grow with $L$. | | Source: | arXiv, cond-mat/0207169 | | Other source: | [GID 684110] pmid12688892 | | Services: | Forum | Review | PDF | Favorites | |
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