Conductance through quantum wires with Lévy-type disorder: Universal statistics in anomalous quantum transport

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