Mean Free Path in Disordered Multichannel Tight-Binding Wires

Abstract

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.

References in corpus (5)

• Random-Matrix Theory of Quantum Transport
• Statistics and Scaling in Disordered Mesoscopic Electron Systems
• Localization fom conductance in few-channel disordered wires
• Conductance and localization in disordered wires: role of evanescent states
• Localization length in Dorokhov's microscopic model of multichannel wires

Cited by in corpus (3)

• Transport through quasi-one-dimensional wires with correlated disorder
• Analytic Study of Persistent Current in a Two-Channel Disordered Mesoscopic Ring
• The DMPK equation for mesoscopic quantum transport revisited