Mean Free Path in Disordered Multichannel Tight-Binding Wires

Details Mean Free Path in Disordered Multichannel Tight-Binding Wires Mean Free Path in Disordered Multichannel Tight-Binding Wires

2007-03-13

arxiv.org/abs/cond-mat/0703340v1

Phys.RevB 76. 033305 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevB.76.033305

Transport in a disordered tight-binding wire involves a collection of different mean free paths resulting from the distinct fermi points, which correspond to the various scattering channels of the wire. The generalization of Thouless' relation between the mean free path and the localization length $\xi$ permits to define an average channel mean free path,$\bar\ell$, such that $\xi\sim N\bar\ell$ in an $N$-channel system. The averaged mean free path $\bar\ell$ is expressed exactly in terms of the total reflection coefficient of the wire and compared with the mean free path defined in the maximum entropy approach.

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