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We study analytically and numerically the Anderson model in one dimension with "stealthy" disorder, defined as having a power spectrum that vanishes in a continuous band of wave numbers. Motivated by recent studies on the optical…

Disordered Systems and Neural Networks · Physics 2026-04-15 Carlo Vanoni , Jonas Karcher , Mikael C. Rechtsman , Boris L. Altshuler , Paul J. Steinhardt , Salvatore Torquato

We study localization properties in a system of non-Hermitian quasiperiodic chain coupled to a uniform chain or clean chain by inter-chain hopping. We find that in the limit of weak inter-chain coupling, such a coupled system exhibits…

Quantum Gases · Physics 2025-10-01 Soumya Ranjan Padhi , Souvik Roy , Biswajit Paul , Sanchayan Banerjee , Tapan Mishra

One of the most intriguing phenomena in physics is the localization of waves in disordered media. This phenomenon was originally predicted by Anderson, fifty years ago, in the context of transport of electrons in crystals. Anderson…

Disordered Systems and Neural Networks · Physics 2015-02-26 G. Roati , C. D'Errico , L. Fallani , M. Fattori , C. Fort , M. Zaccanti , G. Modugno , M. Modugno , M. Inguscio

The intensity distribution of electromagnetic polar waves in a chain of near-resonant weakly-coupled scatterers is investigated theoretically and supported by a numerical analysis. Critical scaling behavior is discovered for part of the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Sanli Faez , Ad Lagendijk , Alexander Ossipov

1D diagonally disordered chain with Frenkel exciton and long range exponential intersite interaction is considered. It is shown that some states of this disordered system are delocalised (extended) contrary to the popular statement that all…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. G. Kozlov

The non-Hermitian skin effect (NHSE) in non-Hermitian lattice systems depicts the exponential localization of eigenstates at system's boundaries. It has led to a number of counter-intuitive phenomena and challenged our understanding of…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Weiwei Zhu , Wei Xin Teo , Linhu Li , Jiangbin Gong

We study theoretically Anderson localization of two-dimensional massless pseudospin-1 Dirac particles in a random one-dimensional scalar potential. We focus explicitly on the effect of disorder correlations, considering a short-range…

Disordered Systems and Neural Networks · Physics 2019-09-11 Seulong Kim , Kihong Kim

Localization is a pervasive phenomenon across physics, shaping transport from electrons in solids to light and sound in engineered media. In traditional settings, disorder strongly impedes transport, resulting in dynamical localization or,…

Disordered Systems and Neural Networks · Physics 2026-01-28 Jia-Xin Zhong , Jee Woo Kim , Stefano Longhi , Yun Jing

A non-Hermitian system is characterized by the violation of energy conservation. As a result of unbalanced gain or loss in the forward and backward directions due to non-reciprocal couplings, the eigenmodes of such systems exhibit extreme…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 S M Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Ching Hua Lee , Mansoor B. A. Jalil

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

A new type of delocalization induced by coherent harmonic perturbations in one-dimensional Anderson-localized disordered systems is investigated. With only a few $M$ frequencies a normal diffusion is realized, but the transition to…

Disordered Systems and Neural Networks · Physics 2021-04-14 Hiroaki S. Yamada , Kensuke S. Ikeda

It has become increasingly clear that a full understanding of the physics of electrons in disordered systems requires an approach in which both disorder and interactions are taken into account. Work on small numbers of electrons has…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jonathan M Carter , Angus MacKinnon

Localization in non-Hermitian quasicrystals can differ fundamentally from its Hermitian counterpart when non-reciprocity is spatially disordered. Here we study a one-dimensional non-Hermitian Aubry-Andr\'{e}-Harper chain with a Bernoulli…

Disordered Systems and Neural Networks · Physics 2026-04-21 Guolin Nan , Zhijian Li , Feng Mei , Zhihao Xu

One of the most fascinating phenomena in non-Hermitian systems is the extensive accumulation of the bulk eigenstates under open-boundary conditions which is known as the non-Hermitian skin effect (NSHE). Here, we propose a switchable NHSE…

Mesoscale and Nanoscale Physics · Physics 2024-10-23 S M Rafi-Ul-Islam , Zhuo Bin Siu , Md. Saddam Hossain Razo , Mansoor B. A. Jalil

We consider the spatiotemporal evolution of a wave packet in disordered nonlinear Schr\"odinger and anharmonic oscillator chains. In the absence of nonlinearity all eigenstates are spatially localized with an upper bound on the localization…

Disordered Systems and Neural Networks · Physics 2015-05-13 Ch. Skokos , D. O. Krimer , S. Komineas , S. Flach

Decoherence and dissipation, arising from unavoidable interactions with the environment, can exert a dual influence on transport in physical systems, suppressing coherent propagation while inducing diffusion and mitigating localization in…

Quantum Physics · Physics 2026-04-15 Kunkun Wang , Lei Xiao , Stefano Longhi , Peng Xue

The interplay between non-Hermitian topology and disorder remains a central puzzle in open quantum systems. While the non-Hermitian skin effect (NHSE) is known to be robust against weak perturbations, its fate under strong disorder,…

Disordered Systems and Neural Networks · Physics 2025-12-04 Ali Tozar

We show that in the one-dimensional (1D) Anderson model long-range correlations within the sequence of on-site potentials may lead to a region of extended states in the vicinity of the band centre, i.e., to a correlation-induced…

Strongly Correlated Electrons · Physics 2007-05-23 Gerald Schubert , Alexander Weisse , Holger Fehske

Non-Hermitian systems can exhibit unique topological and localization properties. Here we elucidate the non-Hermitian effects on disordered topological systems by studying a non-Hermitian disordered Su-Schrieffer-Heeger model with…

Quantum Physics · Physics 2020-04-15 Dan-Wei Zhang , Ling-Zhi Tang , Li-Jun Lang , Hui Yan , Shi-Liang Zhu

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