Coherent wave transmission in quasi-one-dimensional systems with Lévy disorder

Abstract

We study the random fluctuations of the transmission in disordered quasi-one-dimensional systems such as disordered waveguides and/or quantum wires whose random configurations of disorder are characterized by density distributions with a long tail known as Lévy distributions. The presence of Lévy disorder leads to large fluctuations of the transmission and anomalous localization, in relation to the standard exponential localization (Anderson localization). We calculate the complete distribution of the transmission fluctuations for different number of transmission channels in the presence and absence of time-reversal symmetry. Significant differences in the transmission statistics between disordered systems with Anderson and anomalous localizations are revealed. The theoretical predictions are independently confirmed by tight binding numerical simulations.

arXiv comment10 pages, 6 figures

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Cited by in corpus (6)

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• A Lévy flight for electrons in graphene: superdiffusive-to-diffusive transport transition
• Protecting quantum coherences from static noise and disorder
• Transport and localization properties of excitations in one-dimensional lattices with diagonal disordered mosaic modulations
• Wave transmission and its universal fluctuations in one-dimensional systems with Lévy-like disorder: Schrödinger, Klein-Gordon and Dirac equations
• Robust non-integer conductance in disordered 2D Dirac semimetals