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

Localization Length in Quasi One Dimensional Disordered System Revised