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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 study the magnetoresistance of two-dimensional bosonic Anderson insulators. We describe the change in spatial decay of localized excitations in response to a magnetic field, which is given by an interference sum over alternative…

Disordered Systems and Neural Networks · Physics 2015-06-11 Anirban Gangopadhyay , Victor Galitski , Markus Mueller

We have studied the effect of a random superconducting order parameter on the localization of quasi-particles, by numerical finite size scaling of the Bogoliubov-de Gennes tight-binding Hamiltonian. Anderson localization is obtained in d=2…

Superconductivity · Physics 2016-08-31 D. E. Katsanos , S. N. Evangelou , C. J. Lambert

We investigate Anderson localization on various 1D structures having flat bands. The main focus is on the scaling laws obeyed by the localization length at weak disorder in the vicinity of flat-band energies. A careful distinction is made…

Mesoscale and Nanoscale Physics · Physics 2019-04-26 J. M. Luck

The intention of this manuscript is twofold. First, the mode-width probability density function (PDF) is introduced as a powerful statistical tool to study and compare the transverse Anderson localization properties of a disordered one…

Optics · Physics 2016-11-08 Behnam Abaie , Arash Mafi

Wave transport in complex media is determined by the nature of quasimodes at the microscopic level. In three dimensional disordered media, waves generally undergo a phase transition from diffusion to Anderson localization, characterized by…

Disordered Systems and Neural Networks · Physics 2025-10-24 Marcus Prado , Romain Bachelard , Robin Kaiser , Felipe A. Pinheiro

We provide evidence that as a general rule Anderson localization effects become weaker as the degree of differentiability of the disordered potential increases. In one dimension a band of metallic states exists provided that the disordered…

Disordered Systems and Neural Networks · Physics 2009-11-13 Antonio M. Garcia-Garcia , Emilio Cuevas

We consider long-range correlated disorder and mutual interacting particles according to a dipole-dipole coupling as modifications to the one-dimensional Anderson model. Technically we rely on the (numerical) exact diagonalization of the…

Quantum Gases · Physics 2012-01-11 Conrad Albrecht , Sandro Wimberger

We use two different fully vectorial microscopic models featuring nonresonant and resonant scattering, respectively, to demonstrate the Anderson localization transition for elastic waves in three-dimensional (3D) disordered solids. Critical…

Disordered Systems and Neural Networks · Physics 2018-08-24 S. E. Skipetrov , Y. M. Beltukov

We investigate the effect of spatially correlated disorder on the Anderson transition of phonons in three dimensions using a Greens function based approach, namely, the typical medium dynamical cluster approximation (TMDCA), in…

Disordered Systems and Neural Networks · Physics 2020-10-02 Wasim Raja Mondal , N. S. Vidhyadhiraja

Recent groundbreaking experiments studying the effects of spin polarization on pairing in unitary Fermi gases encountered mutual qualitative and quantitative discrepancies which seem to be a function of the confining geometry. Using novel…

Quantum Gases · Physics 2011-03-09 L. O. Baksmaty , Hong Lu , C. J. Bolech , Han Pu

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

If disorder-induced Anderson localized states have been observed experimentally in optics, their study remains challenging leaving a number of open questions unsolved. Among them, the impact on Anderson localization of non-Hermiticity,…

Optics · Physics 2022-01-25 Bhupesh Kumar , Patrick Sebbah

We investigate dynamical scaling properties of the 1D tight-binding Anderson model with a weak diagonal disorder, by means of the spreading of a wave packet. In the absence of disorder, and more generally in the ballistic regime, the…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. De Toro Arias , J. M. Luck

We demonstrate that in pair plasma weakly nonlinear electromagnetic waves, $a_0 \leq 1$, experience Anderson self-localization. The beat between the driver and a back-scattered wave creates charge-neutral, large random density fluctuations…

Plasma Physics · Physics 2026-01-21 Maxim Lyutikov , Victor Gurarie

We consider diagonal disordered one-dimensional Anderson models with an underlying periodicity. We assume the simplest periodicity, i.e., we have essentially two lattices, one that is composed of the random potentials and the other of…

Disordered Systems and Neural Networks · Physics 2009-10-30 Michael Hilke

We study ground state and finite temperature properties of disordered heavy fermion metals by using a generalization of dynamical mean field theory which incorporates Anderson localization effects. The emergence of a non-Fermi liquid…

Strongly Correlated Electrons · Physics 2007-05-23 M. C. O. Aguiar , E. Miranda , V. Dobrosavljevic

We investigate numerically the propagation and the Anderson localization of plane waves in a one-dimensional lattice chain, where disorder and saturable nonlinearity are simultaneously present. Using a calculation scheme for solving the…

Disordered Systems and Neural Networks · Physics 2017-08-08 Ba Phi Nguyen , Kihong Kim

Disorder and non-Hermitian effects together can upend how waves localize. In a 1D disordered chain, the non-Hermitian skin effect (NHSE) can induce Anderson delocalization, defying the usual rule that disorder in low dimensions always…

Disordered Systems and Neural Networks · Physics 2025-09-03 Wei-Wu Jin , Jin Liu , Xin Wang , Yu-Ran Zhang , Xueqin Huang , Xiaomin Wei , Wenbo Ju , Zhongmin Yang , Tao Liu , Franco Nori

We present a detailed theoretical study of the effects of structural disorder on LN photonic crystal slab cavities, ranging from short to long length scales, using a fully-3D Bloch mode expansion technique. We compute the optical density of…

Disordered Systems and Neural Networks · Physics 2018-05-09 J. P. Vasco , Stephen Hughes
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