• Scaling theory of quantum resistance distributions in disordered systems

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      https://www.ias.ac.in/article/fulltext/pram/036/06/0611-0619

    • Keywords

       

      Localization; quantum Ohmic resistance; scaling; Fokker-Planck equations; invariant imbedding

    • 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.

    • Author Affiliations

       

      A M Jayannavar1 2

      1. Department of Physics, Indian Institute of Science, Bangalore - 560012, India
      2. Institute of Physics, Sachivalaya Marg, Bhubaneswar - 751005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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