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Scaling theory of quantum resistance distributions in disordered systems

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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.

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Jayannavar, A.M. Scaling theory of quantum resistance distributions in disordered systems. Pramana - J Phys 36, 611–619 (1991). https://doi.org/10.1007/BF02845799

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  • DOI: https://doi.org/10.1007/BF02845799

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