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Two-dimensional periodically driven systems can host an unconventional topological phase unattainable for equilibrium systems, termed the Anomalous Floquet-Anderson insulator (AFAI). The AFAI features a quasi-energy spectrum with chiral…

Strongly Correlated Electrons · Physics 2022-04-20 Carolyn Zhang , Tobias Holder , Netanel H. Lindner , Mark Rudner , Erez Berg

Periodically driven quantum systems provide a novel and versatile platform for realizing topological phenomena. Among these are analogs of topological insulators and superconductors, attainable in static systems; however, some of these…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Paraj Titum , Erez Berg , Mark S. Rudner , Gil Refael , Netanel H. Lindner

We study two-terminal transport through two-dimensional periodically driven systems in which all bulk Floquet eigenstates are localized by disorder. We focus on the Anomalous Floquet-Anderson Insulator (AFAI) phase, a…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Arijit Kundu , Mark Rudner , Erez Berg , Netanel H. Lindner

Anderson localization in two-dimensional topological insulators takes place via the so-called levitation and pair annihilation process. As disorder is increased, extended bulk states carrying opposite topological invariants move towards…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Hui Liu , Ion Cosma Fulga , Janos K. Asboth

The presence of random disorder in a metallic system accounts for the localization of extended states in general. On the contrary, the presence of disorder can induce topological phases hosting metallic boundary states out of a…

Mesoscale and Nanoscale Physics · Physics 2024-09-25 Arnob Kumar Ghosh , Tanay Nag , Arijit Saha

We demonstrate the existence of a two-dimensional anomalous Floquet insulator (AFI) phase: an interacting (periodically-driven) non-equilibrium topological phase of matter with no counterpart in equilibrium. The AFI is characterized by a…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Frederik Nathan , Dmitry Abanin , Erez Berg , Netanel H. Lindner , Mark S. Rudner

The anomalous Floquet Anderson insulator (AFAI) has been theoretically predicted in step-wise periodically driven models, but its stability under more general driving protocols hasn't been determined. We show that adding disorder to the…

Quantum Gases · Physics 2024-06-11 Arijit Dutta , Efe Sen , Jun-Hui Zheng , Monika Aidelsburger , Walter Hofstetter

The realization of the quantum anomalous Hall (QAH) effect without magnetic doping attracts intensive interest since magnetically doped topological insulators usually possess inhomogeneity of ferromagnetic order. Here, we propose a…

Disordered Systems and Neural Networks · Physics 2022-01-11 Zhen Ning , Baobing Zheng , Dong-Hui Xu , Rui Wang

Time-periodic (Floquet) drive is a powerful method to engineer quantum phases of matter, including fundamentally non-equilibrium states that are impossible in static Hamiltonian systems. One characteristic example is the anomalous Floquet…

Quantum Gases · Physics 2022-01-12 Christopher I. Timms , Lukas M. Sieberer , Michael H. Kolodrubetz

In magnetic topological insulators, a phase transition between a quantum anomalous Hall (QAH) and an Anderson localization phase can be triggered by the rotation of an applied magnetic field. Without the scattering paths along magnetic…

Mesoscale and Nanoscale Physics · Physics 2026-01-05 Kristof Moors , Gen Yin

We perform a numerical study of Floquet topological insulators with temporal disorder to investigate the existence of quantized charge transport without Anderson localization. We first argue that in setups with temporal imperfections…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 Lennard Berg , Andreas Alvermann , Holger Fehske

Topological insulators are bulk electronic insulators which possess symmetry protected gapless modes on their surfaces. Breaking the symmetries that underlie the gapless nature of the surface modes is predicted to give rise to exotic new…

Strongly Correlated Electrons · Physics 2014-10-15 J. G. Checkelsky , R. Yoshimi , A. Tsukazaki , K. S. Takahashi , Y. Kozuka , J. Falson , M. Kawasaki , Y. Tokura

We investigate the effects of disorder in Floquet topological insulators (FTIs) occurring in semiconductor quantum wells. Such FTIs are induced by resonantly driving a transition between the valence and conduction band. We show that when…

Disordered Systems and Neural Networks · Physics 2017-08-28 Paraj Titum , Netanel H. Lindner , Gil Refael

We uncover a new family of few-body topological phases in periodically driven fermionic systems in two dimensions. These phases, which we term correlation-induced anomalous Floquet insulators (CIAFIs), are characterized by quantized…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 Frederik Nathan , Dmitry A. Abanin , Netanel H. Lindner , Erez Berg , Mark S. Rudner

Fractional Chern insulators (FCI) with fractionally quantized Hall conductance at fractional fillings and an extended quantum anomalous Hall (EQAH) crystal with an integer quantized Hall conductance over an extended region of doping were…

Strongly Correlated Electrons · Physics 2025-02-03 Zezhu Wei , Ang-Kun Wu , Miguel Gonçalves , Shi-Zeng Lin

We examine the transport properties of magnetically doped topological insulator (TI) thin films subject to correlated non-magnetic disorder. For the disorder we choose a quasi-periodic potential with a random phase. We restrict the disorder…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Takuya Okugawa , Tanay Nag , Dante M. Kennes

The fractional quantum Hall (FQH) effect at the filling number $\nu=5/2$ is a primary candidate for non-Abelian topological order, while the fate of such a state in the presence of random disorder has not been resolved. Here, we address…

Strongly Correlated Electrons · Physics 2019-08-07 W. Zhu , D. N. Sheng

Occurrence of topological Anderson insulator (TAI) in HgTe quantum well suggests that when time-reversal symmetry (TRS) is maintained, the pertinent topological phase transition, marked by re-entrant $2e^2/h$ quantized conductance…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Ying Su , Y. Avishai , X. R. Wang

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

The quantum anomalous Hall (QAH) effect in magnetic topological insulator (TI) represents a new state of matter originated from the interplay between topology and magnetism. The defining characteristics of the QAH ground state are the…

Mesoscale and Nanoscale Physics · Physics 2021-03-26 Chang Liu , Yunbo Ou , Yang Feng , Gaoyuan Jiang , Weixiong Wu , Shaorui Li , Zijia Cheng , Ke He , Xucun Ma , Qikun Xue , Yayu Wang
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