Pramana

, Volume 36, Issue 6, pp 611–619 | Cite as

Scaling theory of quantum resistance distributions in disordered systems

  • A M Jayannavar
Article

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

Localization quantum Ohmic resistance scaling Fokker-Planck equations invariant imbedding 

PACS Nos

72.15 72.10 72.90 71.55 

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Copyright information

© Indian Academy of Sciences 1991

Authors and Affiliations

  • A M Jayannavar
    • 1
  1. 1.Department of PhysicsIndian Institute of ScienceBangaloreIndia
  2. 2.Institute of PhysicsSachivalaya MargBhubaneswarIndia

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