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We study the problem of non-conventional Anderson localization emerging in bilayer periodic-on-average structures with alternating layers of materials with positive and negative refraction indices $n_a$ and $n_b$. Main attention is paid to…

Disordered Systems and Neural Networks · Physics 2015-06-15 E. J. Torres-Herrera , F. M. Izrailev , N. M. Makarov

We review some recent (mostly ours) results on the Anderson localization of light and electron waves in complex disordered systems, including: (i) left-handed metamaterials, (ii) magneto-active optical structures, (iii) graphene…

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 study the properties of the spinor wavefunction in a strongly disordered environment on a two-dimensional lattice. By employing a transfer-matrix calculation we find that there is a transition from delocalized to localized states at a…

Disordered Systems and Neural Networks · Physics 2013-10-09 A. Hill , K. Ziegler

We consider the effect of weak disorder on eigenstates in a special class of tight-binding models. Models in this class have short-range hopping on periodic lattices; their defining feature is that the clean systems have some energy bands…

Disordered Systems and Neural Networks · Physics 2010-10-04 J. T. Chalker , T. S. Pickles , Pragya Shukla

We investigate experimentally the light evolution inside a two-dimensional finite periodic array of weakly- coupled optical waveguides with a disordered boundary. For a completely localized initial condition away from the surface, we find…

The role of disorder on wave propagation through the universe is studied. Assuming space fluctuations of the order of the Planck length and the size of the universe as the corresponding localization length for the background radiation, we…

Disordered Systems and Neural Networks · Physics 2008-09-30 J. C. Flores , M. Bologna

Precision is a virtue throughout science in general and in optics in particular where carefully fabricated nanometer-scale devices hold great promise for both classical and quantum photonics [1-6]. In such nanostructures, unavoidable…

Influence of disorder on the temperature of superconducting transition (T_c) is studied within the sigma-model renormalization group framework. Electron-electron interaction in particle-hole and Cooper channels is taken into account and…

Mesoscale and Nanoscale Physics · Physics 2012-01-10 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

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

Anderson localization predicts that wave spreading in disordered lattices can come to a complete halt, providing a universal mechanism for {dynamical localization}. In the one-dimensional Hermitian Anderson model with uncorrelated diagonal…

Disordered Systems and Neural Networks · Physics 2023-04-18 Stefano Longhi

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

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 study Anderson localization of single particles in continuous, correlated, one-dimensional disordered potentials. We show that tailored correlations can completely change the energy-dependence of the localization length. By considering…

Disordered Systems and Neural Networks · Physics 2013-03-28 Marie Piraud , Laurent Sanchez-Palencia

We study Anderson localization in disordered tight-binding models on hyperbolic lattices. Such lattices are geometries intermediate between ordinary two-dimensional crystalline lattices, which localize at infinitesimal disorder, and Bethe…

Disordered Systems and Neural Networks · Physics 2024-08-20 Anffany Chen , Joseph Maciejko , Igor Boettcher

The analytical approach developed by us for the calculation of the phase diagram for the Anderson localization via disorder [J.Phys.: Condens. Matter 14, 13777 (2002)] is generalized here to the case of a strong magnetic field when $q$…

Disordered Systems and Neural Networks · Physics 2008-06-12 V N Kuzovkov

We investigate, both experimentally and theoretically, possible routes towards Anderson-like localization of Bose-Einstein condensates in disordered potentials. The dependence of this quantum interference effect on the nonlinear…

Disordered Systems and Neural Networks · Physics 2009-11-11 T. Schulte , S. Drenkelforth , J. Kruse , W. Ertmer , J. Arlt , K. Sacha , J. Zakrzewski , M. Lewenstein

We rigorously analyse the correspondence between the one-dimensional standard Anderson model and a related classical system, the `kicked oscillator' with noisy frequency. We show that the Anderson localization corresponds to a parametric…

Disordered Systems and Neural Networks · Physics 2009-10-31 L. Tessieri , F. M. Izrailev

Anderson localization (AL) is a ubiquitous interference phenomenon in which waves fail to propagate in a disordered medium. We observe three-dimensional AL of noninteracting ultracold matter by allowing a spin-polarized atomic Fermi gas to…

Quantum Gases · Physics 2011-10-12 S. S. Kondov , W. R. McGehee , J. J. Zirbel , B. DeMarco

In the context of an isolated three-dimensional noninteracting fermionic lattice system, we study the effects of a sudden quantum quench between a disorder-free situation and one in which disorder results in a mobility edge and associated…

Disordered Systems and Neural Networks · Physics 2018-06-26 Armin Rahmani , Smitha Vishveshwara