Localization Length in Quasi One Dimensional Disordered System Revised

2011/06/03 by V. Gasparian, Gasparian, Vladimir, E. Cuevas +1
Computer Science · Engineering · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Image Processing Techniques and Applications #Magneto-Optical Properties and Applications #Neural Networks and Applications

paper · pdf · doi:10.48550/arxiv.1106.0750

openalex publication_date 2011/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 W² (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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