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

T. Kottos·F. M. Izrailev·A. Politi
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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.

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T. Kottos, F. M. Izrailev, A. Politi. 1998-03-10. Finite-length Lyapunov exponents and conductance for quasi-1D disordered solids. https://doi.org/10.1016/s0167-2789(98)00226-7

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