Non-ohmic effects of anderson localization

Elihu Abrahams; Philip W. Anderson; T. V. Ramakrishnan

doi:10.1080/01418638008222330

Abstract

Abstract A scaling argument for the conductance G of a disordered electronic system is given. For dimensionality d > 2, there is a mobility edge at which the conductivity goes continuously to zero. At d = 2, there is no true metallic conduction; the conductivity goes smoothly from logarithmic to exponential decrease with sample size L. A perturbation calculation confirms the In L behaviour for weak disorder. At finite temperature T, electric field E or frequency ω, effective length scales depending upon T, E and ω are derived for purposes of comparison with experiments on thin films. These show non-Ohmic In (T, E, ω) contributions to the conductivity.

Keywords

Condensed matter physicsOhmic contactScalingConductivityCurse of dimensionalityLogarithmThermal conductionElectrical resistivity and conductivityConductanceExponential functionPhysicsElectric fieldMaterials scienceMathematicsStatistical physicsQuantum mechanicsMathematical analysisStatistics

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Publication Info

Year: 1980
Type: article
Volume: 42
Issue: 6
Pages: 827-833
Citations: 60
Access: Closed

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APA Style

                            
                                    Elihu Abrahams, 
                                
                                    Philip W. Anderson, 
                                
                                    T. V. Ramakrishnan
                                
                            (1980). 
                            Non-ohmic effects of anderson localization. 
                            Philosophical Magazine B
                            , 42
                            (6)
                            , 827-833.
                            https://doi.org/10.1080/01418638008222330

Identifiers

DOI: 10.1080/01418638008222330