Scaling theory of localization and non-ohmic effects in two dimensions

摘要: A scaling argument for the conductance G of a disordered electronic system permits interpolation behavior between localized and extended limits. For dimensionality d>2, there is mobility edge at which conductivity goes continuously to zero. At d=2, no true metallic conduction; smoothly from logarithmic exponential decrease with sample size L. perturbation calculation confirms ln L weak disorder. finite temperature T electric field E, effective length scales depending upon E are derived on basis relaxation heating models purposes comparison experiments thin films. These show non-ohmic contributions conductivity.