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We prove Anderson localization in a disordered photonic crystal waveguide by measuring the ensemble-averaged localization length which is controlled by the dispersion of the photonic crystal waveguide. In such structures, the localization…

Optics · Physics 2015-05-18 P. D. Garcia , S. Smolka , S. Stobbe , P. Lodahl

We realize experimentally a cold atom system equivalent to the 3D Anderson model of disordered solids where the anisotropy can be controlled by adjusting an experimentally accessible parameter. This allows us to study experimentally the…

Disordered Systems and Neural Networks · Physics 2013-06-27 Matthias Lopez , Jean-François Clément , Gabriel Lemarié , Dominique Delande , Pascal Szriftgiser , Jean Claude Garreau

The method proposed by the present authors to deal analytically with the problem of Anderson localization via disorder [J.Phys.: Condens. Matter {\bf 14} (2002) 13777] is generalized for higher spatial dimensions D. In this way the…

Disordered Systems and Neural Networks · Physics 2007-05-23 V. N. Kuzovkov , W. von Niessen

Anderson localization is a striking phenomenon wherein transport of light is arrested due to the formation of disorder-induced resonances. Hitherto, Anderson localization has been demonstrated separately in two limits of disorder, namely,…

We report the existence of a localization-delocalization transition in the classical plasma modes of a one dimensional Wigner Crystal with a white noise potential environment at T=0. Finite size scaling analysis reveals a divergence of the…

Disordered Systems and Neural Networks · Physics 2008-06-02 Shimul Akhanjee , Joseph Rudnick

Emerging experimental platforms use amorphousness, a constrained form of disorder, to tailor meta-material properties. We study localization under this type of disorder in a family of 2D models generalizing recent experiments on photonic…

Disordered Systems and Neural Networks · Physics 2025-08-19 Elizabeth J. Dresselhaus , Alexander Avdoshkin , Zhetao Jia , Matteo Secli , Boubacar Kante , Joel E. Moore

The localization of one-electron states in the large (but finite) disorder limit is investigated. The inverse participation number shows a non--monotonic behavior as a function of energy owing to anomalous behavior of few-site localization.…

Disordered Systems and Neural Networks · Physics 2012-10-02 L. Ujfalusi , I. Varga

Effects of randomness have supplied fundamental problems in condensed matter physics and localization due to interference of quantum mechanical electrons are well studied as the Anderson localization. Although we have well established…

Disordered Systems and Neural Networks · Physics 2015-06-24 M. Kishi , Y. Hatsugai

We theoretically demonstrate features of Anderson localization in the Tonks-Girardeau gas confined in one-dimensional (1D) potentials with controlled disorder. That is, we investigate the evolution of the single particle density and…

Quantum Gases · Physics 2015-05-19 J. Radić , V. Bačić , D. Jukić , M. Segev , H. Buljan

Bond-disordered Anderson model in two dimensions on a square lattice is studied numerically near the band center by calculating density of states (DoS), multifractal properties of eigenstates and the localization length. DoS divergence at…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Viktor Z. Cerovski

Anderson localization is a universal phenomenon affecting non-interacting quantum particles in disorder. In three spatial dimensions it becomes particularly interesting to study because of the presence of a quantum phase transition from…

We study localization properties of the eigenstates and wave transport in one-dimensional system consisting of a set of barriers/wells of fixed thickness and random heights. The inherent peculiarity of the system resulting in the enhanced…

Disordered Systems and Neural Networks · Physics 2015-06-16 I. F. Herrera-Gonzalez , F. M. Izrailev , N. M. Makarov

In this paper, we use recent breakthroughs in the study of coupled subwavelength resonator systems to reveal new insight into the mechanisms responsible for the fundamental features of Anderson localization. The occurrence strong…

Disordered Systems and Neural Networks · Physics 2023-07-21 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

We investigate light transport in three-dimensional disordered media composed of irregular dielectric particles using large scale full-wave simulations. For subwavelength particles with size parameter $kr \approx 1$ and high refractive…

Optics · Physics 2026-04-29 Yevgen Grynko , Dustin Siebert , Jan Sperling , Jens Förstner

We study the transport of an interacting Bose--Einstein condensate through a 1D correlated disorder potential. We use for this purpose the truncated Wigner method, which is, as we show, corresponding to the diagonal approximation of a…

Quantum Gases · Physics 2016-01-20 Julien Dujardin , Thomas Engl , Peter Schlagheck

We develop a cluster typical medium theory to study localization in disordered electronic systems. Our formalism is able to incorporate non-local correlations beyond the local typical medium theory in a systematic way. The cluster typical…

Disordered Systems and Neural Networks · Physics 2014-06-23 Chinedu E. Ekuma , Hanna Terletska , Zi Yang Meng , Juana Moreno , Mark Jarrell , Samiyeh Mahmoudian , Vladimir Dobrosavljevic

Different disorders lead to various localization and topological phenomena in condensed matter and artificial systems. Here we study the topological and localization properties in one-dimensional Su-Schrieffer-Heeger model with spatially…

Disordered Systems and Neural Networks · Physics 2022-03-01 Shu-Na Liu , Guo-Qing Zhang , Ling-Zhi Tang , Dan-Wei Zhang

Based on the statistical dynamical mean field theory, we investigate, in a generic model for a strongly coupled disordered electron-phonon system, the competition between polaron formation and Anderson localization. The statistical…

Strongly Correlated Electrons · Physics 2007-05-23 Franz X. Bronold , Andreas Alvermann , Holger Fehske

We examine the interplay between disorder and fractionality in a one-dimensional tight-binding Anderson model. In the absence of disorder, we observe that the two lowest energy eigenvalues detach themselves from the bottom of the band, as…

Disordered Systems and Neural Networks · Physics 2022-05-25 Mario I. Molina

By means of variable moment kernel polynomial method, we analyze the localization properties of $\beta$-graphyne sheet subjected to the Anderson disorder. To detect the localization transition we focus on the scaling behavior of the…

Materials Science · Physics 2021-01-20 G. X. Wang
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