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The random-dimer model is probably the most popular model for a one-dimensional disordered system where correlations are responsible for delocalization of the wave functions. This is the primary model used to justify the insulator-metal…

量子气体 · 物理学 2010-04-27 Jean-François Schaff , Zehra Akdeniz , Patrizia Vignolo

Anderson localization is a quantum phenomenon in which disorder localizes electronic wavefunctions. In this work, we propose a new approach to study Anderson localization based on the density matrix formalism. Drawing an analogy to the…

无序系统与神经网络 · 物理学 2026-03-31 Ziyue Qi , Yi Zhang , Mingpu Qin , Hongming Weng , Kun Jiang

Recent advances in transport properties measurements of disordered materials and lattice simulations, using superconducting qubits, have rekindled interest in Anderson localization, motivating our study of highly disordered quantum…

量子物理 · 物理学 2024-06-03 Ilia Tutunnikov , Jianshu Cao

Anderson localization is a phase transition between a metallic phase, where wavefunctions are extended and delocalized in space, and an insulating phase, where wavefunctions are completely localized. These transitions are driven by…

无序系统与神经网络 · 物理学 2026-01-30 Pasquale Marra

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…

无序系统与神经网络 · 物理学 2025-05-29 Sourav Bhattacharjee , Piotr Sierant , Marek Dudyński , Jan Wehr , Jakub Zakrzewski , Maciej Lewenstein

Dimer decimation scheme is introduced in order to study the kicked quantum systems exhibiting localization transition. The tight-binding representation of the model is mapped to a vectorized dimer where an asymptotic dissociation of the…

混沌动力学 · 物理学 2008-11-26 Tomaž Prosen , Indubala I Satija , Nausheen R. Shah

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…

无序系统与神经网络 · 物理学 2021-04-14 Hiroaki S. Yamada , Kensuke S. Ikeda

Systems with quasiperiodic disorder are known to exhibit localization transition in low dimension. After a critical strength of disorder all the states of the system become localized, thereby ceasing the particle motion in the system.…

量子气体 · 物理学 2021-03-17 Shilpi Roy , Tapan Mishra , B. Tanatar , Saurabh Basu

Recent studies have revealed reentrant localization transitions in quasi-periodic one-dimensional lattices, where the competition between dimerized hopping and staggered disorder plays a central role. Yet the extent to which such reentrant…

无序系统与神经网络 · 物理学 2025-09-30 Pei-Jie Chang , Dong Ruan , Gui-Lu Long

In this paper, we use recent breakthroughs in the study of coupled subwavelength resonator systems to reveal new insight into the mechanisms responsible for the fundamental features of Anderson localization. The occurrence strong…

无序系统与神经网络 · 物理学 2023-07-21 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

Our previous results [J.Phys.: Condens. Matter 14 (2002) 13777] dealing with the analytical solution of the two-dimensional (2-D) Anderson localization problem due to disorder is generalized for anisotropic systems (two different hopping…

无序系统与神经网络 · 物理学 2009-11-11 V. N. Kuzovkov , W. von Niessen

We study the persistence of localization for a strongly disordered tight-binding Anderson model on the lattice $\mathbb{Z}^d$, periodically driven on each site. Under two different sets of conditions, we show that Anderson localization…

数学物理 · 物理学 2016-07-26 Raphael Ducatez , François Huveneers

Anderson localization, the absence of diffusive transport in disordered systems, has been manifested as hopping transport in numerous electronic systems, whereas in recently discovered topological insulators it has not been directly…

介观与纳米尺度物理 · 物理学 2015-06-19 Jian Liao , Yunbo Ou , Xiao Feng , Shuo Yang , Chaojing Lin , Wenmin Yang , Kehui Wu , Ke He , Xucun Ma , Qi-Kun Xue , Yongqing Li

We study temperature induced metal-insulator transition in doped ferromagnetic semiconductors, described by s-d exchange model. The transition is a result of the mobility edge movement, the disorder being due to magnetic ions spin density…

凝聚态物理 · 物理学 2007-05-23 Eugene Kogan , Mark Auslender

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…

无序系统与神经网络 · 物理学 2024-08-20 Anffany Chen , Joseph Maciejko , Igor Boettcher

Reentrant localization transitions, that is, the transitions of a portion of the eigenspectrum from localized to critical and then again to localized as the disorder strength is increased, have been recently unveiled in various…

介观与纳米尺度物理 · 物理学 2025-01-29 Thomas F. Allard , Guillaume Weick

We investigate a celebrated problem of one dimensional tight binding model in the presence of disorder leading to Anderson localization from a novel perspective. A binary disorder is assumed to be created by immobile heavy particles for the…

量子气体 · 物理学 2015-08-11 Arkadiusz Kosior , Jan Major , Marcin Płodzień , Jakub Zakrzewski

We carefully revisit the electron-boson scattering problem, going beyond popular semi-classical treatments. By providing numerically exact results valid at finite temperatures, we demonstrate the existence of a regime of electron-boson…

强关联电子 · 物理学 2025-08-26 H. Rammal , A. Ralko , S. Ciuchi , S. Fratini

Topic of the thesis is a theoretical description of the ultracold atomic gases in one- and two-dimensional optical lattices in the presence of the disorder leading to the Anderson localization. The disorder is created by interaction of the…

量子气体 · 物理学 2017-07-19 Jan Major

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…

无序系统与神经网络 · 物理学 2026-03-03 Niaz Ali Khan , Munsif Jan , Muzamil Shah , Muhammad Sajid , Muhammad Mateen , Mushtaq Ali
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