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

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

1998-03-10

arxiv.org/abs/cond-mat/9803123v1

Physica D, 131 (1999) 155

Physics

Condensed Matter

Disordered Systems and Neural Networks

19 pages in LaTex and 8 Postscript figures

Scientific paper

10.1016/S0167-2789(98)00226-7

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.

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