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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…

强关联电子 · 物理学 2022-04-20 Carolyn Zhang , Tobias Holder , Netanel H. Lindner , Mark Rudner , Erez Berg

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…

量子气体 · 物理学 2024-06-11 Arijit Dutta , Efe Sen , Jun-Hui Zheng , Monika Aidelsburger , Walter Hofstetter

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…

介观与纳米尺度物理 · 物理学 2016-05-12 Paraj Titum , Erez Berg , Mark S. Rudner , Gil Refael , Netanel H. Lindner

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…

介观与纳米尺度物理 · 物理学 2024-09-25 Arnob Kumar Ghosh , Tanay Nag , Arijit Saha

The anomalous Floquet Anderson insulator (AFAI) is a two dimensional periodically driven system in which static disorder stabilizes two topologically distinct phases in the thermodynamic limit. The presence of a unit-conducting chiral edge…

介观与纳米尺度物理 · 物理学 2020-04-03 Kun Woo Kim , Dmitry Bagrets , Tobias Micklitz , Alexander Altland

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…

介观与纳米尺度物理 · 物理学 2019-06-05 Frederik Nathan , Dmitry Abanin , Erez Berg , Netanel H. Lindner , Mark S. Rudner

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…

介观与纳米尺度物理 · 物理学 2020-01-15 Arijit Kundu , Mark Rudner , Erez Berg , Netanel H. Lindner

We investigate the possibility of realizing a disorder-induced topological Floquet spectrum in two-dimensional periodically-driven systems. Such a state would be a dynamical realization of the topological Anderson insulator. We establish…

无序系统与神经网络 · 物理学 2015-02-12 Paraj Titum , Netanel H. Lindner , Mikael C. Rechtsman , Gil Refael

Non-Abelian topological phases, which go beyond traditional Abelian topological band theory, are garnering increasing attention. This is further spurred by periodic driving, leading to predictions of many novel multi-gap Floquet topological…

介观与纳米尺度物理 · 物理学 2025-08-12 Huahui Qiu , Shuaishuai Tong , Qicheng Zhang , Kun Zhang , Chunyin Qiu

Strong disorder drives conventional Hermitian systems into Anderson insulating states, suppressing all topological phases. Here, we unveil symmetry-protected, anomalous topological phases in the strong disorder limit of a non-Hermitian…

介观与纳米尺度物理 · 物理学 2026-02-11 Mina Ren , Xi Shi , Haitao Jiang , Feng Liu , Hong Chen , Yong Sun

Electronic bands featuring nontrivial bulk topological invariant manifest through robust gapless modes at the boundaries, e.g., edges and surfaces. As such this bulk-boundary correspondence is also operative in driven quantum materials. For…

介观与纳米尺度物理 · 物理学 2021-07-26 Tanay Nag , Bitan Roy

It has been proposed that disorder may lead to a new type of topological insulator, called topological Anderson insulator (TAI). Here we examine the physical origin of this phenomenon. We calculate the topological invariants and density of…

无序系统与神经网络 · 物理学 2015-05-30 Yan-Yang Zhang , Rui-Lin Chu , Fu-Chun Zhang , Shun-Qing Shen

Topological states require the presence of extended bulk states, as usually found in the picture of energy bands and topological states bridging the bulk gaps. But in driven systems this can be circumvented, and one can get topological…

介观与纳米尺度物理 · 物理学 2020-01-08 Esteban A. Rodriguez-Mena , L. E. F. Foa Torres

The topological phase in amorphous systems adds a new dimension to the topological states of matter. Here, we present an interesting phenomenon dubbed the topological Anderson amorphous insulator (TAAI). Anderson disorder can drive…

介观与纳米尺度物理 · 物理学 2023-08-25 Xiaoyu Cheng , Tiantao Qu , Liantuan Xiao , Suotang Jia , Jun Chen , Lei Zhang

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…

介观与纳米尺度物理 · 物理学 2023-07-26 Lennard Berg , Andreas Alvermann , Holger Fehske

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…

无序系统与神经网络 · 物理学 2020-01-01 Matteo M. Wauters , Angelo Russomanno , Roberta Citro , Giuseppe E. Santoro , Lorenzo Privitera

We propose a class of photonic Floquet topological insulators based on staggered helical lattices and an efficient numerical method for calculating their Floquet bandstructure. The lattices support anomalous Floquet topological insulator…

光学 · 物理学 2016-07-06 Daniel Leykam , M. C. Rechtsman , Y. D. Chong

Periodically driven systems can host so called anomalous topological phases, in which protected boundary states coexist with topologically trivial Floquet bulk bands. We introduce an anomalous version of reflection symmetry protected…

介观与纳米尺度物理 · 物理学 2019-07-02 Konstantinos Ladovrechis , Ion Cosma Fulga

Periodically-driven or Floquet systems can realize anomalous topological phenomena that do not exist in any equilibrium states of matter, whose classification and characterization require new theoretical ideas that are beyond the…

介观与纳米尺度物理 · 物理学 2020-10-27 Rui-Xing Zhang , Zhi-Cheng Yang

Time-periodic (Floquet) drive can give rise to novel symmetry breaking and topological phases of matter. Recently, we showed that a quintessential Floquet topological phase known as the anomalous Floquet-Anderson insulator is stable to…

介观与纳米尺度物理 · 物理学 2022-07-14 Peng Peng Zheng , Christopher I. Timms , Michael H. Kolodrubetz
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