2003/07/23 by J. Heinrichs, Jean Heinrichs
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum many-body systems #cond-mat.dis-nn
paper · pdf · doi:10.1088/0953-8984/15/41/006
published as J.Phys.:Condens. Matter 15 (2003) 6969-6975
arxiv created 2003/07/23 · openalex publication_date 2003/10/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
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.