Pramana

, Volume 36, Issue 6, pp 611–619

Scaling theory of quantum resistance distributions in disordered systems

Authors

  • A M Jayannavar
    • Department of PhysicsIndian Institute of Science
Article

DOI: 10.1007/BF02845799

Cite this article as:
Jayannavar, A.M. Pramana - J Phys (1991) 36: 611. doi:10.1007/BF02845799

Abstract

We have derived explicitly, the large scale distribution of quantum Ohmic resistance of a disordered one-dimensional conductor. We show that in the thermodynamic limit this distribution is characterized by two independent parameters for strong disorder, leading to a two-parameter scaling theory of localization. Only in the limit of weak disorder we recover single parameter scaling, consistent with existing theoretical treatments.

Keywords

Localizationquantum Ohmic resistancescalingFokker-Planck equationsinvariant imbedding

PACS Nos

72.1572.1072.9071.55

Copyright information

© Indian Academy of Sciences 1991