# Conductance through quantum wires with Levy-type disorder: universal statistics in anomalous quantum transport - Condensed Matter > Mesoscale and Nanoscale Physics

Abstract: In this letter we study the conductance G through one-dimensional quantumwires with disorder configurations characterized by long-tailed distributionsLevy-type disorder. We calculate analytically the conductance distributionwhich reveals a universal statistics: the distribution of conductances is fullydetermined by the exponent \alpha of the power-law decay of the disorderdistribution and the average < ln G >, i.e., all other details of the disorderconfigurations are irrelevant. For 0< \alpha < 1 we found that the fluctuationsof ln G are not self-averaging and < ln G > scales with the length of thesystem as L^\alpha, in contrast to the predictions of the standardscaling-theory of localization where ln G is a self-averaging quantity and < lnG > scales linearly with L. Our theoretical results are verified by comparingwith numerical simulations of one-dimensional disordered wires.

Author: Fernando Falceto, Victor A. Gopar

Source: https://arxiv.org/