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

Abrahams, Elihu ; Ramakrishnan , T. V. (1980) Scaling theory of localization and non-ohmic effects in two dimensions Journal of Non-Crystalline Solids, 35-36 (1). pp. 15-20. ISSN 0022-3093

Full text not available from this repository.

Official URL: http://linkinghub.elsevier.com/retrieve/pii/002230...

Related URL: http://dx.doi.org/10.1016/0022-3093(80)90566-9

Abstract

A scaling argument for the conductance G of a disordered electronic system permits interpolation for the behavior of G between the localized and extended limits. 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 ℓn L behavior for weak disorder. At finite temperature T and electric field E, effective length scales depending upon T and E are derived on the basis of relaxation and heating models for purposes of comparison with experiments on thin films. These show non-ohmic ℓn T and ℓn E contributions to the conductivity.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:40837
Deposited On:25 May 2011 11:01
Last Modified:25 May 2011 11:01

Repository Staff Only: item control page