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We predict the existence of a novel class of multidimensional light localizations in out-of-equilibrium ferroelectric crystals. In two dimensions, the non-diffracting beams form at arbitrary low power level and propagate even when their…

Optics · Physics 2013-05-29 Claudio Conti , Aharon J. Agranat , Eugenio DelRe

We examine the onset of Anderson localization in three-dimensional systems with structural disorder in the form of lattice irregularities and in the absence of any on-site disordered potential. Analyzing two models with distinct types of…

Disordered Systems and Neural Networks · Physics 2025-05-29 Sourav Bhattacharjee , Piotr Sierant , Marek Dudyński , Jan Wehr , Jakub Zakrzewski , Maciej Lewenstein

Quantum particles in a disordered potential, photons or classical waves in a random medium, or the universe expansion in a fluctuating cosmic field, all share Anderson localization as a communality. In general, localization is enhanced for…

Disordered Systems and Neural Networks · Physics 2015-09-07 Hichem Eleuch , Michael Hilke

This article presents a brief overview of the interplay between nonlinearity and Anderson localization of light, primarily in the context of transverse Anderson localization. The focus is on whether Anderson localization is preserved,…

Optics · Physics 2017-03-14 Arash Mafi

Topic of the thesis is a theoretical description of the ultracold atomic gases in one- and two-dimensional optical lattices in the presence of the disorder leading to the Anderson localization. The disorder is created by interaction of the…

Quantum Gases · Physics 2017-07-19 Jan Major

We probe the limits of nonlinear wave spreading in disordered chains which are known to localize linear waves. We particularly extend recent studies on the regimes of strong and weak chaos during subdiffusive spreading of wave packets [EPL…

Chaotic Dynamics · Physics 2011-07-18 J. D. Bodyfelt , T. V. Laptyeva , Ch. Skokos , D. O. Krimer , S. Flach

Anderson localization of electron states on graphene lattice with diagonal and off-diagonal (OD) disorder in the absence of magnetic field is investigated by using the standard finite-size scaling analysis. In the presence of diagonal…

Disordered Systems and Neural Networks · Physics 2008-01-03 Shi-Jie Xiong , Ye Xiong

We theoretically investigate the effects of atomic defect related short-range disorders and electron-electron interactions on Anderson type localization and the magnetic properties of hexagonal armchair graphene quantum dots using an…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 A. Altıntaş , A. D. Güçlü

We theoretically study the Anderson localization of a matter wave packet in a one-dimensional disordered potential. We develop an analytical model which includes the initial phase-space density of the matter wave and the spectral broadening…

Disordered Systems and Neural Networks · Physics 2011-03-08 Marie Piraud , Pierre Lugan , Philippe Bouyer , Alain Aspect , Laurent Sanchez-Palencia

Localization of electronic states in disordered thin layered systems with b layers is studied within the Anderson model of localization using the transfer-matrix method and finite-size scaling of the inverse of the smallest Lyapunov…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. Z. Cerovski , R. K. Brojen Singh , M. Schreiber

We study the effect of disorder on the effective magnetic response of composite left-handed metamaterials and their specific properties such as negative refraction. We show that relatively weak disorder in the split-ring resonators can…

Optics · Physics 2007-05-23 Alexander A. Zharov , Ilya V. Shadrivov , Yuri S. Kivshar

We study the localization properties of non-interacting waves propagating in a speckle-like potential superposed on a one-dimensional lattice. Using a decimation/renormalization procedure, we estimate the localization length for a…

Disordered Systems and Neural Networks · Physics 2015-05-30 Serpil Sucu , Saban Aktas , S. Erol Okan , Zehra Akdeniz , Patrizia Vignolo

We present the first study of disorder in planar metamaterials consisting of strongly interacting metamolecules, where coupled electric dipole and magnetic dipole modes give rise to a Fano-type resonant response and show that positional…

Optics · Physics 2015-06-04 Salvatore Savo , Nikitas Papasimakis , Nikolay I. Zheludev

We investigate the effect of disorder on the propagation of surface plasmon polaritons in arrays of evanescently coupled dielectric loaded surface plasmon polariton waveguides. Diagonal disorder is implemented by randomly varying the…

Optics · Physics 2017-06-28 Zlata Cherpakova , Felix Bleckmann , Tim Vogler , Stefan Linden

We analyze the effect of microscopic disorder on the macroscopic properties of composite metamaterials and study how weak statistically independent fluctuations of the parameters of structure elements can modify their collective magnetic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Maxim Gorkunov , Sergey A. Gredeskul , Ilya V. Shadrivov , Yuri S. Kivshar

By merging single-site typical medium theory with density functional theory we introduce a self-consistent framework for electronic structure calculations of materials with substitutional disorder which takes into account Anderson…

Disordered Systems and Neural Networks · Physics 2020-01-31 A. Östlin , Y. Zhang , H. Terletska , F. Beiuseanu , V. Popescu , K. Byczuk , L. Vitos , M. Jarrell , D. Vollhardt , L. Chioncel

In dissipationless linear media, spatial disorder induces Anderson localization of matter, light, and sound waves. The addition of nonlinearity causes interaction between the eigenmodes, which results in a slow wave diffusion. We go beyond…

Disordered Systems and Neural Networks · Physics 2015-09-22 T. V. Laptyeva , A. A. Tikhomirov , O. I. Kanakov , M. V. Ivanchenko

Nonlinear light-matter interactions are typically enhanced by increasing the local field and its interaction time with matter. Conventional methods to achieve these goals are based on resonances or slow-light effects. However, these methods…

In this paper, we propose a one-dimensional disordered plasmonic structure composed of a graphene single layer placed on a random grating composed of InAs. The propagation of a plasmonic wave through this structure is investigated…

Optics · Physics 2018-09-11 Abbas Ghasempour Ardakani , Marzieh Sedaghat Nejad

Localized waves in disordered one-dimensional materials have been studied for decades, including white-noise and correlated disorder, as well as quasi-periodic disorder. How these wave phenomena relate to those in crystalline (periodic…

Materials Science · Physics 2017-07-20 X. Lei , D. P. Varn , J. P. Crutchfield
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