Exact transmission moments in one-dimensional weak localization and single-parameter scaling

Details Exact transmission moments in one-dimensional weak localization and single-parameter scaling Exact transmission moments in one-dimensional weak localization and single-parameter scaling

2003-07-23

arxiv.org/abs/cond-mat/0307571v1

J.Phys.:Condens. Matter 15 (2003) 6969-6975

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1088/0953-8984/15/41/006

We obtain for the first time the expressions for the mean and the variance of the transmission coefficient for an Anderson chain in the weak localization regime, using exact expansions of the complex transmission- and reflection coefficients to fourth order in the weakly disordered site energies. These results confirm the validity of single-parameter scaling theory in a domain where the higher transmission cumulants may be neglected. We compare our results with earlier results for transmission cumulants in the weak localization domain based on the phase randomization hypothesis.

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