Abstract

We numerically study the distribution function of the conductance (transmission) in the one-dimensional tight-binding Anderson and periodic-on-average superlattice models in the region of fluctuation states where single parameter scaling is not valid. We show that the scaling properties of the distribution function depend upon the relation between the system's length L and the length ls determined by the integral density of states. For long enough systems, L ≫ ls, the distribution can still be described within a new scaling approach based upon the ratio of the localization length lloc and ls. In an intermediate interval of the system's length L, lloc ≫ ls, the variance of the Lyapunov exponent does not follow the predictions of the central limit theorem and this scaling becomes invalid.

Department(s)

Physics

Keywords and Phrases

Conductance; Electric Conductivity; Mathematical Analysis; Prediction; Rating Scale; Reaction Analysis; Statistical Analysis

International Standard Serial Number (ISSN)

0163-1829

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2003 American Physical Society (APS), All rights reserved.

Included in

Physics Commons

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