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

T Kottos, F M Izrailev, A Politi

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12 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)155-169
Number of pages15
JournalPhysica. D, Nonlinear Phenomena
Volume131
Issue number1-4
Publication statusPublished - 1 Jul 1999

Keywords

  • Lyapunov spectra
  • band random matrices
  • conductance fluctuations
  • BAND RANDOM MATRICES
  • STATISTICAL PROPERTIES
  • SCALING PROPERTIES
  • QUANTUM TRANSPORT
  • FOURIER-ANALYSIS
  • FLUCTUATIONS
  • SPECTRA
  • EIGENFUNCTIONS
  • LOCALIZATION
  • HAMILTONIANS

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