Finite-length Lyapunov exponents and conductance for quasi-1D disordered solids
Disordered Systems and Neural Networks
2009-10-31 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/9803123,
title = {Finite-length Lyapunov exponents and conductance for quasi-1D disordered solids},
author = {T. Kottos and F. M. Izrailev and A. Politi},
journal= {arXiv preprint arXiv:cond-mat/9803123},
year = {2009}
}
Comments
19 pages in LaTex and 8 Postscript figures