Conductance through quantum wires with Lévy-type disorder: Universal statistics in anomalous quantum transport
- F. Falceto
- V. A. Gopar
DOIAbstract
In this letter we study the conductance G through one-dimensional quantum wires with disorder configurations characterized by long-tailed distributions (Lévy-type disorder). We calculate analytically the conductance distribution which reveals a universal statistics: the distribution of conductances is fully determined by the exponent α of the power-law decay of the disorder distribution and the average ⟨ln G⟩, i.e., all other details of the disorder configurations are irrelevant. For 0<α<1 we found that the fluctuations of ln G are not self-averaging and ⟨ln G⟩ scales with the length of the system as Lα, in contrast to the predictions of the standard scaling theory of localization where ln G is a self-averaging quantity and ⟨ln G⟩ scales li...
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