Conductance distributions in quasi-one-dimensional disordered wires.

摘要: A detailed analysis of the distribution conductances Pgof quasi-one-dimensional disordered wires in metal-insulator crossover is presented. Pgobtained from a Monte Carlo solution Dorokhov, Mello, Pereyra, and Kumar (DMPK) scaling equation full agreement with ''tight- binding'' numerical calculations bulk wires. Perturbation theory shown to be valid even for mean dimensionless hgi order 1. In regime & 1, Pg� presents sharp feature at g � 1 which different that observed surface SDW. These results strongly contrast smooth behavior conductance variance (12) distributions transmission coef- ficients (13) were obtained exactly non- linear sigma model. this work we present metal- insulator based on approach (14) presence (� 1) or absence 2) time reversal symmetry. By using technique, have exact DMPK all way metallic insulating regimes. regime, first cumulants are good perturbation (15) down hgi. insulat- ing 1=4, Pgis well described by one-side log-normal (9) both SDW, BDW, 2. contrast, shape Pgin region (which governed just two fluctuat- channels (10)) depends onand clearly disorder, while value transition (2). Pgpresents 2 We also performed extensive within well-known ''tight-binding'' model BDW diagonal disorder (Anderson model). The Anderson 's equation. describes evolution joint probability eigenvalues