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

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Title
Coherent wave transmission in quasi-one-dimensional systems with Lévy disorder
Author(s)
Ilias Amanatidis; Ioannis Kleftogiannis; Fernando Falceto; Víctor A. Gopar
Publication Date
2017-12
Journal
PHYSICAL REVIEW E, v.96, no.6, pp.062141
Publisher
AMERICAN PHYSICAL SOCIETY
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 a 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.
URI
https://pr.ibs.re.kr/handle/8788114/4259
DOI
10.1103/PhysRevE.96.062141
ISSN
2470-0045
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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