A Monte Carlo approach to determine conductance distributions in quasi-one-dimensional disordered wires

摘要: AbstractA detailed analysis of the statistical distribution conductance P(g) quasi-one-dimensional disordered wires in metal–insulatorcrossover is presented. The obtained from a Monte Carlo solution Dorokhov, Mello, Pereyra and Kumar (DMPK)scaling equation, showing full agreement with ‘tight-binding’ numerical calculations bulk wires. Perturbation theory isshown to be valid even for mean dimensionless values !gO order 1. In crossover diffusive localizedregimes (!gO!1), presents characteristic shape different that observed surface wires.q 2005 Elsevier Ltd. All rights reserved. Keywords: Electron transport; Disordered wires; Conductance distributionsPACS: 71.30.Ch; 72.15.Rn; 42.25.Dd IntroductionThe study systems plays relevant role inSolid-State Physics (as well as many other research areas)since well-ordered are exceptional situations, andthe presence disorder familiar situation takeninto account when analysing actual physical systems(in cases fabricated or synthesised limitedprecision). When studying systems, it isgenerally accepted measurements on singlesample described by quantities averaged over anensemble systems. reason this belief thatsystems self-averaging, which constitutes central pieceof ‘macroscopic’ description system.At sufficiently small length scales macroscopicdescription fails, microscopic approach must then betaken into consideration. particular, macroscopicapproach breaks down at surprisingly large fordisordered It has been needed develop newapproach describe Thisdescription, whole function thephysical taken account, so-called the‘mesoscopic’ approach.One most extensively studied phenomena inmesoscopic physics behaviour, low temperatures, ofthe conductanceP(g) system its L. Themagnitude g defined gZG/G