Crossover behaviour in one-dimensional disordered systems in external electric fields

摘要: A method formulated by Felderhof (1986), is extended to the treatment of conduction problem disordered systems in external electric fields. The authors apply it calculate averages and fluctuations for two models: model consists a sequence delta -barriers with random position amplitude, B square barriers position, height width. models have qualitatively different behaviours, which can be explained fact that are bounded. They ratios incident transmitted energy current, expressed terms scattering coefficients. field produces power-law dependence those quantities, as opposed exponential found zero field. Further, A, there regimes at finite Two critical fields defined behaviour transmission coefficient been proposed literature. study current allows give them well physical interpretation, transmissions, respectively, switch from tending infinity. In zero-field case, known dominate exponentially over averages. presence an field, they find still dominate, but only algebraically, whereas relative saturate constant.