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Scaling theory of quantum resistance distributions in disordered systems

Authors
Publisher
Indian Academy of Sciences
Publication Date
Keywords
  • Physics
Disciplines
  • Physics

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.

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