, Volume 36, Issue 6, pp 611-619

First online:

Scaling theory of quantum resistance distributions in disordered systems

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

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


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.


Localization quantum Ohmic resistance scaling Fokker-Planck equations invariant imbedding


72.15 72.10 72.90 71.55