Article

Pramana

, Volume 36, Issue 6, pp 611-619

Scaling theory of quantum resistance distributions in disordered systems

  • A M JayannavarAffiliated withDepartment of Physics, Indian Institute of Science

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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