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The presence of disorder can severely impede wave transport, resulting in the famous Anderson localization. Previous theoretical studies found that Anderson transition can exist in one-dimensional (1D) non-Hermitian disordered rings with…

Applied Physics · Physics 2025-02-13 Wei Wang , Xulong Wang , Guancong Ma

Anderson localization is a fundamental phenomenon in disordered quantum systems, where transport is suppressed by wave interference from extensive randomness. Moving beyond traditional multi-impurity scenarios, we investigate…

Disordered Systems and Neural Networks · Physics 2026-03-03 Niaz Ali Khan , Munsif Jan , Muzamil Shah , Muhammad Sajid , Muhammad Mateen , Mushtaq Ali

We present an experimental signature of the Anderson localisation of microcavity polaritons, and provide a systematic study of the dependence on disorder strength. We reveal a controllable degree of localisation, as characterised by the…

The self-consistent theory of Anderson localization of quantum particles or classical waves in disordered media is reviewed. After presenting the basic concepts of the theory of Anderson localization in the case of electrons in disordered…

Disordered Systems and Neural Networks · Physics 2015-05-18 P. Wölfle , D. Vollhardt

We investigate a simple tight-binding Hamiltonian to understand the stability of spin-polarized transport of states with an arbitrary spin content in the presence of disorder. The general spin state is made to pass through a linear chain of…

Disordered Systems and Neural Networks · Physics 2019-04-12 Leonardo Benini , Amrita Mukherjee , Arunava Chakrabarti , Rudolf A. Roemer

We present two complementary simulations that lead to an exploration of Anderson localization, a phenomenon in which wave diffusion is suppressed in disordered media by interference from multiple scattering. To build intuition, the first…

Disordered Systems and Neural Networks · Physics 2026-01-06 Jake S. Bobowski

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 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

Anderson localization is a universal quantum feature caused by destructive interference. On the other hand chiral symmetry is a key ingredient in different problems of theoretical physics: from nonperturbative QCD to highly doped…

Disordered Systems and Neural Networks · Physics 2007-05-23 Antonio M. Garcia-Garcia , Emilio Cuevas

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

We consider the notion of equilibration for an isolated quantum system exhibiting Anderson localization. The system is assumed to be in a pure state, i.e., described by a wave-function undergoing unitary dynamics. We focus on the simplest…

Quantum Physics · Physics 2018-03-09 Giorgio J. Moro , Giulia DalľOsto , Barbara Fresch

Anderson localization is a general phenomenon of wave physics, which stems from the interference between multiple scattering paths1,2. It was originally proposed for electrons in a crystal, but later was also observed for light3-5,…

Strongly Correlated Electrons · Physics 2012-08-21 B. Y. Pan , S. Y. Zhou , X. C. Hong , X. Qiu , S. Y. Li

Anderson localization transitions are a universal quantum phenomenon sensitive to the disorder and dimensionality of electronic systems. Over the past decades, this intriguing topic has inspired overwhelmingly more theoretical studies than…

Mesoscale and Nanoscale Physics · Physics 2024-10-31 Jinhao Cheng , Chen Wang , Wenxue He , Jiaojiao Wang , Yifan Pang , Fan Yang , Shuaishuai Ding , Hechen Ren , Wenping Hu

Waves fail to propagate in random media. First predicted for quantum particles in the presence of a disordered potential, Anderson localization has been observed also in classical acoustics, electromagnetism and optics. Here, for the first…

A one-dimensional boundary of a two-dimensional topological superconductor can host a number of topologically protected chiral modes. Combining two topological superconductors with different topological indices, it is possible to achieve a…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Daniil S. Antonenko , Eslam Khalaf , Pavel M. Ostrovsky , Mikhail A. Skvortsov

The aim of this paper is to demonstrate, by simple numerical simulations, the main transport properties of disordered electron systems.

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Peter Markos

Quantum walks are promising for information processing tasks because on regular graphs they spread quadratically faster than random walks. Static disorder, however, can turn the tables: unlike random walks, quantum walks can suffer Anderson…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Tibor Rakovszky , Janos K. Asboth

We study Anderson localization in a generalized discrete time quantum walk - a unitary map related to a Floquet driven quantum lattice. It is controlled by a quantum coin matrix which depends on four angles with the meaning of potential and…

Disordered Systems and Neural Networks · Physics 2017-10-25 I. Vakulchyk , M. V. Fistul , P. Qin , S. Flach

Anderson localization marks a halt of diffusive wave propagation in disordered systems. Despite extensive studies over the past 40 years, Anderson localization of light in three dimensions has remained elusive, leading to the question of…

Localization of wavefunctions is arguably the most familiar effect of disorder in quantum systems. It has been recently argued [[V. Khemani, R. Nandkishore, and S. L. Sondhi, Nature Physics, 11, 560 (2015)] that, contrary to naive…

Disordered Systems and Neural Networks · Physics 2020-04-15 Z. Ovadyahu