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A one-dimensional quantum system with off diagonal disorder, consisting of a sample of conducting regions randomly interspersed within potential barriers is considered. Results mainly concerning the large $N$ limit are presented. In…

Disordered Systems and Neural Networks · Physics 2017-12-06 Tommaso Vanzan , Lamberto Rondoni

We develop a diagrammatic theory for transport of waves in disordered media with weak nonlinearity. We first represent the solution of the nonlinear wave equation as a nonlinear Born series. From this, we construct nonlinear ladder and…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Thomas Wellens , Benoit Gremaud

In this work we show analytically and numerically that wave transport through random waveguides can be modeled as a diffusion with an inhomogeneous diffusion coefficient (IDC). In localized regime, IDC retains the memory of the source…

Disordered Systems and Neural Networks · Physics 2015-11-05 P. Neupane , A. Yamilov

Particles driven through a periodic potential by an external constant force are known to exhibit a pronounced peak of the diffusion around a critical force that defines the transition between locked and running states. It has recently been…

Soft Condensed Matter · Physics 2015-05-19 M. Khoury , A. M. Lacasta , J. M. Sancho , Katja Lindenberg

Nodes in ad hoc networks with randomly oriented directional antenna patterns typically have fewer short links and more long links which can bridge together otherwise isolated subnetworks. This network feature is known to improve overall…

Information Theory · Computer Science 2017-06-29 Orestis Georgiou , Carl P. Dettmann , Justin P. Coon

A novel feature of electron transport is explored through a thin film of varying impurity density with the distance from its surface. The film, attached to two metallic electrodes, is described by simple tight-binding model and its coupling…

Mesoscale and Nanoscale Physics · Physics 2009-09-15 Santanu K. Maiti

We describe how to engineer wavefunction delocalization in disordered systems modelled by tight-binding Hamiltonians in d>1 dimensions. We show analytically that a simple product structure for the random onsite potential energies, together…

Disordered Systems and Neural Networks · Physics 2012-08-21 Alberto Rodriguez , Arunava Chakrabarti , Rudolf A. Römer

We analyze the effects of sp^2/sp^3 bond-aspect ratio on the transport properties of amorphous carbon quasi-1D structures where structural disorder varies in a very non-linear manner with the effective bandgap. Using a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Mikhail V. Katkov , Somnath Bhattacharyya

Localization of wavefunctions is arguably the most familiar effect of disorder in quantum systems. It has been recently argued [[V. Khemani, R. Nandkishore, and S. L. Sondhi, Nature Physics, 11, 560 (2015)] that, contrary to naive…

Disordered Systems and Neural Networks · Physics 2020-04-15 Z. Ovadyahu

We explore a novel transport phenomenon by studying the effect of surface disorder on electron transport through a finite size conductor with side coupled metallic electrodes. In the strong disorder regime the current amplitude increases…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 Santanu K. Maiti

We calculate transport properties of disordered 2D d-wave superconductors from solutions of the Bogoliubov-de Gennes equations, and show that weak localization effects give rise to a finite frequency peak in the optical conductivity similar…

Superconductivity · Physics 2009-11-07 W. A. Atkinson , P. J. Hirschfeld

We investigate electron transport in disordered Hubbard chains contacted to macroscopic leads, via the non-equilibrium Green's functions technique. We observe a cross-over of currents and conductances at finite bias which depends on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Daniel Karlsson , Claudio Verdozzi

This paper deals with the existence of guided waves and edge states in particular two-dimensional media obtained by perturbing a reference periodic medium with honeycomb symmetry. This reference medium is a thin periodic domain (the…

Analysis of PDEs · Mathematics 2025-02-06 Bérangère Delourme , Sonia Fliss

We analyze the diffusive transport of Brownian particles in narrow channels with periodically varying cross-section. The geometrical confinements lead to entropic barriers, the particle has to overcome in order to proceed in transport…

Statistical Mechanics · Physics 2012-01-06 P. S. Burada , G. Schmid , Y. Li , P. Hanggi

This review presents a unified view on the problem of Anderson localization in one-dimensional weakly disordered systems with short-range and long-range statistical correlations in random potentials. The following models are analyzed: the…

Disordered Systems and Neural Networks · Physics 2012-05-15 F. M. Izrailev , A. A. Krokhin , N. M. Makarov

We have studied the quantum transmission properties of serial stub and loop structures. Throughout we have considered free electron networks and the scattering arises solely due to the geometric nature of the problem. The band formation in…

Condensed Matter · Physics 2007-05-23 P. Singha Deo , A. M. Jayannavar

Random scattering of photons in disordered one-dimensional solids gives rise to an exponential suppression of transmission, which is known as Anderson localization. Here, we experimentally study Anderson localization in a superconducting…

Effects of correlated disorder on wave localization have attracted considerable interest. Motivated by the importance of studies of quantum transport in rough nanowires, here we examine how colored surface roughness impacts the conductance…

Disordered Systems and Neural Networks · Physics 2015-05-14 Gursoy B. Akguc , Jiangbin Gong

Architectures based on waveguide quantum electrodynamics have emerged as promising candidates for quantum networks. In this paper, we analyze the propagation of single-photons in disordered many-atom waveguides. We pay special attention to…

Quantum Physics · Physics 2017-11-08 Imran M. Mirza , Jeremy G. Hoskins , John C. Schotland

Numerical calculations have been performed to elucidate unconventional electronic transport properties in disordered nanographene ribbons with zigzag edges (zigzag ribbons). The energy band structure of zigzag ribbons has two valleys that…

Mesoscale and Nanoscale Physics · Physics 2009-01-07 Katsunori Wakabayashi , Yositake Takane , Masayuki Yamamoto , Manfred Sigrist