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Taking into account that a proper description of disordered systems should focus on distribution functions, the authors develop a powerful numerical scheme for the determination of the probability distribution of the local density of states…

Disordered Systems and Neural Networks · Physics 2013-06-20 Gerald Schubert , Alexander Weisse , Gerhard Wellein , Holger Fehske

We study the strong localization of atomic matter waves in a disordered potential created by atoms pinned at the nodes of a lattice, for both three-dimensional (3D) and two-dimensional (2D) systems. The localization length of the matter…

Quantum Gases · Physics 2015-05-19 Mauro Antezza , Yvan Castin , David Hutchinson

We consider Anderson localization and the associated metal-insulator transition for non-interacting fermions in D = 1, 2 space dimensions in the presence of spatially correlated on-site random potentials. To assess the nature of the…

Disordered Systems and Neural Networks · Physics 2014-08-05 Eric C. Andrade , Mark Steudtner , Matthias Vojta

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

Exponential localization of wavefunctions in lattices, whether in real or synthetic dimensions, is a fundamental wave interference phenomenon. Localization of Bloch-type functions in space-periodic lattice, triggered by spatial disorder, is…

Disordered Systems and Neural Networks · Physics 2021-01-22 Adhip Pattanayak , Á. Jiménez-Galán , Misha Ivanov , Gopal Dixit

We show, using quasi-exact numerical simulations, that Anderson localization of one-dimensional particles in a disordered potential survives in the presence of attractive interaction between particles. The localization length of the…

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 2009-11-11 V. N. Kuzovkov , W. von Niessen

We demonstrate experimentally that structural perturbations imposed on highly-dispersive photonic crystal-based waveguides give rise to spectral features that bear signatures of Anderson localization. Sharp resonances with the effective Qs…

Optics · Physics 2009-11-13 Juraj Topolancik , Rob Ilic , Frank Vollmer

We study the interplay of disorder and interaction effects including bosonic degrees of freedom in the framework of a generic one-dimensional transport model, the Anderson-Edwards model. Using the density-matrix renormalization group…

Strongly Correlated Electrons · Physics 2015-06-11 S. Nishimoto , S. Ejima , H. Fehske

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

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 paper explores the prospects of observing the phenomenon of dynamical Anderson localisation via non-resonant Raman-type rotational excitation of molecules by periodic trains of short laser pulses. We define conditions for such an…

Quantum Physics · Physics 2013-08-14 Johannes Floß , Shmuel Fishman , Ilya Sh. Averbukh

We report a theoretical study of Anderson localization of nonclassical light with emphasis on the quantum statistical aspects of localized light. We demonstrate, from the variance in mean intensity of localized light, as well as…

Optics · Physics 2010-04-22 Clinton Thompson , Gautam Vemuri , G. S. Agarwal

Two-dimensional random metal networks possess unique electrical and optical properties, such as almost total optical transparency and low sheet resistance, which are closely related to their disordered structure. Here we present a detailed…

We study Anderson localization in two-dimensional systems with purely off-diagonal disorder. Localization lengths are computed by the transfer-matrix method and their finite-size and scaling properties are investigated. We find various…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andrzej Eilmes , Rudolf A. Roemer

We study quantum transport in anisotropic 3D disorder and show that non rotation invariant correlations can induce rich diffusion and localization properties. For instance, structured finite-range correlations can lead to the inversion of…

Disordered Systems and Neural Networks · Physics 2012-09-17 Marie Piraud , Luca Pezzé , Laurent Sanchez-Palencia

In a recent experiment [X. Yu et al., arXiv:2602.07654], energy-resolved measurements of an atomic matter wave spreading in a speckle potential enabled the direct observation of the three-dimensional Anderson transition. In this work, we…

The effect of disorder on magnonic transport in low-dimensional magnetic materials is studied in the framework of a classical spin model. Numerical investigations give insight into scattering properties of the systems and show the existence…

Mesoscale and Nanoscale Physics · Physics 2015-07-24 Martin Evers , Cord A. Müller , Ulrich Nowak

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

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