Localization length in the quasi one-dimensional disordered system revisited

We have provided a complete description of the electron localization length (LL) in quasi-one dimensional (Q1D) disordered quantum wire with hard wall and periodic boundary conditions. Presented analytical expressions for LL are in excellent agreement with numerical calculations, exact up to order W2 (W being the disorder strength), and valid for an arbitrary number of propagating and evanescent channels. We have calculated the average conductance in Q1D systems, establish relationship between various lengths and show that it basically differs from 1D case.