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We summarize the results of our comprehensive analytical and numerical studies of the effects of polarization on the Anderson localization of classical waves in one-dimensional random stacks. We consider homogeneous stacks composed entirely…

The effect of disorder on the static and dynamic behaviour of one-dimensional charge density waves at low temperatures is studied by analytical and numerical approaches. In the low temperature region the spatial behaviour of the phase-phase…

Statistical Mechanics · Physics 2009-11-07 Andreas Glatz , Sanjay Kumar , Mai Suan Li

We investigate the one-dimensional propagation of waves in the Anderson localization regime, for a single-mode, surface disordered waveguide. We make use of both an analytical formulation and rigorous numerical simulation calculations. The…

Disordered Systems and Neural Networks · Physics 2009-11-10 J. A. Sanchez-Gil , V. Freilikher

We have analyzed spectra of localized microwave transmitted through quasi-1D random samples to obtain the central frequency, linewidth and field speckle pattern of the modes for an ensemble of samples at three lengths. We find strong…

Disordered Systems and Neural Networks · Physics 2012-10-02 Jing Wang

The nature of transport of electrons and classical waves in disordered systems depends upon the proximity to the Anderson localization transition between freely diffusing and localized waves. The suppression of average transport and the…

Disordered Systems and Neural Networks · Physics 2014-02-18 Zhou Shi , Jing Wang , Azriel Z. Genack

We study the effect of magnetic scattering on transport in a system with strong structural disorder, using exact finite size calculation of the low frequency optical conductivity. At weak electron-spin coupling spin disorder leads to a…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sanjeev Kumar , Pinaki Majumdar

We study some mesoscopic properties of electron transport by employing one-dimensional chains and Anderson tight-binding model. Principal attention is paid to the resistance of finite-length chains with disordered white-noise potential. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 V. Dossetti-Romero , F. M. Izrailev , A. A. Krokhin

We study the influence of the different choice of unit cells on the Bloch solutions of Schr\c{c}dinger equation for one-dimensional periodic Kronig- Penney models with rectangular potential barriers or potential wells and partially constant…

Quantum Physics · Physics 2007-05-23 M. G. Tashkova , A. M. Miteva , S. G. Donev

The exact probability distributions of the resistance, the conductance and the transmission are calculated for the one-dimensional Anderson model with long-range correlated off-diagonal disorder at E=0. It is proved that despite of the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Hosein Cheraghchi , S. Mahdi Fazeli

We re-examine and correct an earlier derivation of the distribution of the Wigner phase delay time for wave reflection from a long one-dimensional disordered conductor treated in the continuum limit. We then numerically compare the…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. Anantha Ramakrishna , N. Kumar

The aim of the article is to study the stability of a non-local kinetic model proposed by Loy and Preziosi (2019a). We split the population in two subgroups and perform a linear stability analysis. We show that pattern formation results…

Cell Behavior · Quantitative Biology 2020-01-23 Nadia Loy , Luigi Preziosi

In this paper, we review the recent activity of our group on the study of disorder effects on systems displaying phase coherence. These studies have focused on both the electronic transport through mesoscopic metallic spin glasses, and cold…

Disordered Systems and Neural Networks · Physics 2015-05-14 David Carpentier , Edmond Orignac , Guillame Paulin , Tommaso Roscilde

The paper is devoted to the problem of resonances in one-dimensional disordered systems. Some of the previous results are reviewed and a number of new ones is presented. These results pertain to different models (continuous as well as…

Disordered Systems and Neural Networks · Physics 2015-06-04 Evgeni Gurevich , Boris Shapiro

We study the effect of weak localization on the transition temperatures of superconductors using time-reversed scattered state pairs, and find that the weak localization effect weakens electron-phonon interactions. With solving the BCS…

Superconductivity · Physics 2009-10-30 Yong-Jihn Kim , K. J. Chang

We investigate the scattering of elastic waves off a disordered region described by a one-dimensional random-phase sine-Gordon model. The collective pinning results in an effective static disorder potential with universal and non-Gaussian…

Disordered Systems and Neural Networks · Physics 2021-07-01 Tsuyoshi Yamamoto , Leonid I. Glazman , Manuel Houzet

An extensive numerical study is reported on disorder effect in two-dimensional d-wave superconductors with random impurities in the unitary limit. It is found that a sharp resonant peak shows up in the density of states at zero energy and…

Superconductivity · Physics 2009-10-31 Jian-Xin Zhu , D. N. Sheng , C. S. Ting

Recent numerical simulations have shown that the distribution of conductance P(g) in 3D strongly localized regiem differs significally from the expected log normal distribution. To understand the origin of this difference analytically, we…

Disordered Systems and Neural Networks · Physics 2015-06-24 K. A. Muttalib. P. Markos , P. Woelfle

Motivated by recent proposals on strain-engineering of graphene electronic circuits we calculate conductivity, shot-noise and the density of states in periodically deformed graphene. We provide the solution to the Dirac-Kronig-Penney model,…

Mesoscale and Nanoscale Physics · Physics 2010-10-13 S. Gattenloehner , W. Belzig , M. Titov

When light waves propagate through disordered photonic lattices, they can eventually become localized due to multiple scattering effects. Here we show experimentally that while the evolution and localization of the photon density…

Disordered Systems and Neural Networks · Physics 2015-05-27 Y. Lahini , Y. Bromberg , Y. Shechtman , A. Szameit , D. N. Christodoulides , R. Morandotti , Y. Silberberg

We investigate the propagation of waves in one-dimensional systems with L\'evy-type disorder. We perform a complete analysis of non-relativistic and relativistic wave transmission submitted to potential barriers whose width, separation or…

Mesoscale and Nanoscale Physics · Physics 2022-11-15 Anderson L. R. Barbosa , Jonas R. F. Lima , Luiz Felipe C. Pereira