Finite-length Lyapunov exponents and conductance for quasi-1D disordered solids

Year: 1999

Authors: Kottos T., Izrailev F.M., Politi A.

Autors Affiliation: Department of Physics of Complex Systems, The Weizmann Institute of Science, Rehovot 76100, Israel;
Instituto de Fisica, Universidad Autonoma de Puebla, Apdo. Postal J-48, Col. San Manuel, Puebla, 72570, Mexico;
Budker Institute of Nuclear Physics, 630090, Novosibirsk, Russian Federation; Istituto Nazionale di Ottica, Largo E. Fermi 6, 50125 Firenze, Italy and INFN, Sez. di Firenze, Italy

Abstract: The transfer matrix method is applied to finite quasi-1D disordered samples attached to perfect leads. The model is described by structured band matrices with random and regular entries. We investigate numerically the level-spacing distribution for finite-length Lyapunov exponents as well as the conductance and its fluctuations for different channel numbers and sample sizes. A comparison is made with theoretical predictions and with numerical results recently obtained with the scattering matrix approach. The role of the coupling and finite size effects is also discussed. (C) 1999 Published by Elsevier Science B.V. all rights reserved.

Journal/Review: PHYSICA D-NONLINEAR PHENOMENA

Volume: 131 (1-4)      Pages from: 155  to: 169

KeyWords: Lyapunov spectra; band random matrices; conductance fluctuations
DOI: 10.1016/S0167-2789(98)00226-7

Citations: 11
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