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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

Exceptional degeneracies and generically complex spectra of non-Hermitian systems are at the heart of numerous phenomena absent in the Hermitian realm. Recently, it was suggested that Floquet dissipative coupling in the space-time domain…

量子物理 · 物理学 2025-05-01 Zimo Zhang , Fengbo Zhang , Zhongxiao Xu , Ying Hu , Han Bao , Heng Shen

Non-Hermiticity naturally breaks down the adiabaticity and thus leads to non-Abelian behaviors in multi-band systems. Here, we study how non-Abelian properties emerge in non-Hermitian systems by considering a multi-band non-Hermitian model…

介观与纳米尺度物理 · 物理学 2025-09-17 Ziyu Zhou , Zhi-Cong Xu , Li-Jun Lang

We establish a novel mechanism for topological transitions in non-Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional-bound (EB) band engineering, its mechanism hinges on the unique…

其他凝聚态物理 · 物理学 2026-03-10 Mengjie Yang , Ching Hua Lee

The non-Hermiticity caused breakdown of the bulk-boundary correspondence (BBC) in topological phase transition was cured by the skin effect for the systems with chiral symmetry and translation invariance. However, periodic driving, as an…

无序系统与神经网络 · 物理学 2020-12-23 Hong Wu , Jun-Hong An

We present Floquet fractal topological insulators: photonic topological insulators in a fractal-dimensional lattice consisting of helical waveguides. The helical modulation induces an artificial gauge field and leads to the…

光学 · 物理学 2021-04-09 Zhaoju Yang , Eran Lustig , Yaakov Lumer , Mordechai Segev

In two dimensions, interacting Floquet topological phases may arise even in the absence of any protecting symmetry, exhibiting chiral edge transport that is robust to local perturbations. We explore a similar class of Floquet topological…

强关联电子 · 物理学 2018-07-25 Dominic Reiss , Fenner Harper , Rahul Roy

Driven Floquet systems can realize topological phases with no static counterparts. These so-called anomalous Floquet topology breaks the bulk-boundary correspondence based on the Chern number. The number of edge modes in each band gap is…

介观与纳米尺度物理 · 物理学 2026-03-27 Luca Asteria , Klaus Sengstock , André Eckardt , Christof Weitenberg

Topological phases have recently witnessed a rapid progress in non-Hermitian systems. Here we study a one-dimensional non-Hermitian Aubry-Andr\'e-Harper model with imaginary periodic or quasiperiodic modulations. We demonstrate that the…

介观与纳米尺度物理 · 物理学 2020-06-11 Qi-Bo Zeng , Yan-Bin Yang , Yong Xu

The behavior of higher-order boundary states in non-Hermitian systems is elusive and thereby finding the mechanism behind these states is both essential and significant. Here, we uncover a novel mechanism that induces anomalous higher-order…

介观与纳米尺度物理 · 物理学 2025-09-24 Hui-Qiang Liang , Zuxuan Ou , Linhu Li , Guo-Fu Xu

Spectra of bulk or edges in topological insulators are often made complex by non-Hermiticity. Here, we show that symmetry protection enables entirely real spectra for both bulk and edges even in non-Hermitian topological insulators. In…

介观与纳米尺度物理 · 物理学 2020-09-11 Kohei Kawabata , Masatoshi Sato

Non-Hermitian skin effect (NHSE) in non-Hermitian lattice systems, associated with a point gap on the complex energy plane, has attracted great theoretical and experimental interest. Much less is studied on the so-called second-order…

介观与纳米尺度物理 · 物理学 2022-08-17 Weiwei Zhu , Jiangbin Gong

We present a one-dimensional coupled ring resonator lattice exhibiting a variant of the non- Hermitian skin effect (NHSE) that we call the anomalous Floquet NHSE. Unlike existing approaches to achieving the NHSE by engineering gain and loss…

介观与纳米尺度物理 · 物理学 2022-11-09 He Gao , Haoran Xue , Zhongming Gu , Linhu Li , Weiwei Zhu , Zhongqing Su , Jie Zhu , Baile Zhang , Y. D. Chong

A non-Hermitian system can exhibit extensive sensitivity of its complex energy spectrum to the imposed boundary conditions, which is beyond any known phenomenon from Hermitian systems. In addition to topologically protected boundary modes,…

其他凝聚态物理 · 物理学 2019-05-15 Ching Hua Lee , Ronny Thomale

Recent studies of disorder or non-Hermiticity induced topological insulators inject new ingredients for engineering topological matter. Here we consider the effect of purely non-Hermitian disorders, a combination of these two ingredients,…

介观与纳米尺度物理 · 物理学 2022-12-12 Xi-Wang Luo , Chuanwei Zhang

We propose a novel way of modulating exceptional topology by implementing Floquet engineering in non-hermitian (NH) systems. We introduce Floquet exceptional topological insulator which results from shining light on a conventional…

介观与纳米尺度物理 · 物理学 2024-02-23 Gaurab Kumar Dash , Subhajyoti Bid , Manisha Thakurathi

In spatiotemporally modulated systems, topological states exist not only in energy gaps but also in momentum gaps. Such unconventional topological states impose challenges on topological physics. The underlying models also make the…

介观与纳米尺度物理 · 物理学 2024-09-17 Weiwei Zhu , Jian-Hua Jiang

The non-trivial topological features in the energy band of non-Hermitian systems provide promising pathways to achieve robust physical behaviors in classical or quantum open systems. A key topological feature, unique to non-Hermitian…

光学 · 物理学 2021-11-29 Kai Wang , Avik Dutt , Ki Youl Yang , Casey C. Wojcik , Jelena Vučković , Shanhui Fan

Topologically protected edge states exactly at topological phase boundaries challenge the conventional belief that topological states must be associated with a bulk energy gap. Because periodically driven (Floquet) systems host unusually…

统计力学 · 物理学 2025-05-26 Longwen Zhou , Jiangbin Gong , Xue-Jia Yu

Topological Insulators are a novel state of matter where spectral bands are characterized by quantized topological invariants. This unique quantized non-local property commonly manifests through exotic bulk phenomena and corresponding…

介观与纳米尺度物理 · 物理学 2018-05-15 Mark Kremer , Ioannis Petrides , Eric Meyer , Matthias Heinrich , Oded Zilberberg , Alexander Szameit