Localization Length in Quasi One Dimensional Disordered System Revised

Details Localization Length in Quasi One Dimensional Disordered System Revised Localization Length in Quasi One Dimensional Disordered System Revised

2011-06-03

arxiv.org/abs/1106.0750v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

RevTex4, 4 two-column pages, 3 .eps figures

Scientific paper

In the weak disordered regime we provide analytical expressions for the electron localization lengths in quasi-one dimensional (Q1D) disordered quantum wire with hard wall and periodic boundary conditions. They are exact up to order $W^2$ ($W$ being the disorder strength) for an arbitrary number of channels. Detailed numerical analysis of the Anderson localization, based on Kubo's formula for conductivity, show excellent agreement with analytical calculations. We establish relationship between various lengths in Q1D systems.

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