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Non-Hermitian effects could create rich dynamical and topological phase structures. In this work, we show that the collaboration between lattice dimerization and non-Hermiticity could generally bring about mobility edges and multiple…

Disordered Systems and Neural Networks · Physics 2022-02-18 Wenqian Han , Longwen Zhou

A new paradigm of Anderson localization caused by correlations in the long-range hopping along with uncorrelated on-site disorder is considered which requires a more precise formulation of the basic localization-delocalization principles. A…

Disordered Systems and Neural Networks · Physics 2019-03-20 P. Nosov , I. M. Khaymovich , V. E. Kravtsov

In the framework of non-Hermitian photonics, we investigate the interplay between disorder and non-Hermiticity in a one-dimensional Hatano-Nelson lattice. While Anderson localization dictates the wave's evolution in conservative random…

Disordered Systems and Neural Networks · Physics 2025-05-20 E. T. Kokkinakis , K. G. Makris , E. N. Economou

We investigate the entanglement dynamics of the non-Hermitian Aubry-Andr\'e-Harper (AAH) chain. The results reveal that by increasing quasiperiodic strength, a phase transition occurs from the area law induced by non-Hermitian skin effect…

Disordered Systems and Neural Networks · Physics 2024-01-18 Shan-Zhong Li , Xue-Jia Yu , Zhi Li

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

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

We have incorporated spin-orbit coupling into the Aubry-Andre model of tight-binding electron motion in the presence of periodic potential with a period incommensurate with lattice constant. This model is known to exhibit an insulator-metal…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Rajesh. K. Malla , M. E. Raikh

In a disordered environment, the probability of transmission of a wave reduces with increasing disorder, the ultimate limit of which is the near-zero transmission due to Anderson localization. Under localizing conditions, transport is…

Disordered Systems and Neural Networks · Physics 2022-06-14 Himadri Sahoo , R Vijay , Sushil Mujumdar

We introduce a one-dimensional lattice model whose hopping amplitudes are modulated for equally spaced sites. Such mosaic lattice exhibits many interesting topological and localization phenomena that do not exist in the regular off-diagonal…

Disordered Systems and Neural Networks · Physics 2021-08-31 Qi-Bo Zeng , Rong Lü

We study quasiperiodicity-induced localization of waves in strongly precompressed granular chains. We propose three different setups, inspired by the Aubry--Andr\'e (AA) model, of quasiperiodic chains; and we use these models to compare the…

Pattern Formation and Solitons · Physics 2018-08-15 Alejandro J. Martínez , Mason A. Porter , P. G. Kevrekidis

In this paper, the influence of the quasidisorder on a two-dimensional system is studied. We find that there exists a topological phase transition accompanied by a transverse Anderson localization. The topological properties are…

Disordered Systems and Neural Networks · Physics 2023-08-09 Shujie Cheng , Reza Asgari , Gao Xianlong

We study the properties of the spinor wavefunction in a strongly disordered environment on a two-dimensional lattice. By employing a transfer-matrix calculation we find that there is a transition from delocalized to localized states at a…

Disordered Systems and Neural Networks · Physics 2013-10-09 A. Hill , K. Ziegler

We investigate the transition induced by disorder in a periodically-driven one-dimensional model displaying quantized topological transport. We show that, while instantaneous eigenstates are necessarily Anderson localized, the periodic…

Disordered Systems and Neural Networks · Physics 2020-01-01 Matteo M. Wauters , Angelo Russomanno , Roberta Citro , Giuseppe E. Santoro , Lorenzo Privitera

Understanding the metal-insulator transition in disordered many-fermion systems, both with and without interactions, is one of the most challenging and consequential problems in condensed matter physics. In this paper we address this issue…

Disordered Systems and Neural Networks · Physics 2015-10-19 Vipin Kerala Varma , Sebastiano Pilati

Effects of electron correlations on Anderson insulators have been one of the central themes for recent two decades, suggesting that the Anderson insulating phase turns into a novel insulating state referred to as many body localization…

Disordered Systems and Neural Networks · Physics 2022-07-12 Kyung-Yong Park , Iksu Jang , Ki-Seok Kim

Characterizing the delocalization transition in closed quantum systems with a many-body localized phase is a key open question in the field of nonequilibrium physics. We exploit that localization of particles as realized in Anderson and…

Disordered Systems and Neural Networks · Physics 2021-12-17 Miroslav Hopjan , Giuliano Orso , Fabian Heidrich-Meisner

We consider a ladder system where one leg, referred to as the ``bath", is governed by an Aubry-Andr\'{e} (AA) type Hamiltonian, while the other leg, termed the ``subsystem", follows a standard tight-binding Hamiltonian. We investigate the…

Statistical Mechanics · Physics 2025-11-04 Arpita Goswami , Pallabi Chatterjee , Ranjan Modak , Shaon Sahoo

We study the Anderson metal-insulator transition for non ergodic random Schr\"odinger operators in both annealed and quenched regimes, based on a dynamical approach of localization, improving known results for ergodic operators into this…

Mathematical Physics · Physics 2015-05-30 Constanza Rojas-Molina

We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced Anderson localization in the bulk via the study of Lyapunov exponents. We obtain a proof that the change of the…

Disordered Systems and Neural Networks · Physics 2026-03-25 Silvio Barandun

Disorder or sufficiently strong interactions can render a metallic state unstable causing it to turn into an insulating one. Despite the fact that the interplay of these two routes to a vanishing conductivity has been a central research…

Strongly Correlated Electrons · Physics 2016-10-07 Andrey E. Antipov , Younes Javanmard , Pedro Ribeiro , Stefan Kirchner
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