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In this paper, we study the existence of Floquet topological insulators for PT symmetric non-Hermitian Hamiltonians. We consider an array of waveguide in 1D with periodically changing non-Hermitian potential and predict the existence of…

介观与纳米尺度物理 · 物理学 2015-08-04 C. Yuce

Floquet non-Abelian topological phases emerge in periodically driven systems and exhibit properties that are absent in their Abelian or static counterparts. Dubbed the Floquet non-Abelian topological insulators (FNATIs), they are…

介观与纳米尺度物理 · 物理学 2025-08-11 Quan Lin , Tianyu Li , Haiping Hu , Wei Yi , Peng Xue

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

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…

量子气体 · 物理学 2022-01-12 Christopher I. Timms , Lukas M. Sieberer , Michael H. Kolodrubetz

The non-Hermitian skin effect can arise in materials that have asymmetric hoppings between atoms or resonating units, which makes the bulk eigenspectrum sensitive to boundary conditions. When skin effect emerges, eigenstates in the bulk…

介观与纳米尺度物理 · 物理学 2022-02-21 Yi-Xin Xiao , C. T. Chan

The Floquet engineering opens the way to create new topological states without counterparts in static systems. Here, we report the experimental realization and characterization of new anomalous topological states with high-precision Floquet…

The non Hermitian skin effect, where bulk states accumulate at system boundaries, challenges the conventional bulk boundary correspondence. Here we propose a scheme to realize hybrid skin topological states in exciton polariton honeycomb…

介观与纳米尺度物理 · 物理学 2025-12-02 Ruiqi Bao , R. Banerjee , S. Mandal , Huawen Xu , Shiji Li , Junfeng Gao , Timothy C. H. Liew

Topological phases characterized by non-Abelian charges are beyond the scope of the paradigmatic tenfold way and have gained increasing attention recently. Here we investigate topological insulators with multiple tangled gaps in Floquet…

介观与纳米尺度物理 · 物理学 2023-10-16 Tianyu Li , Haiping Hu

A topological insulator is regarded as an ideal candidate for information storage and high-speed lossless electrical transmission devices due to robust topological protected boundary modes. Previous studies revealed that symmetry exerts an…

介观与纳米尺度物理 · 物理学 2026-01-06 Ming-Jian Gao , Jun-Hong An

Non-Hermitian topological systems show quite different properties as their Hermitian counterparts. An important, puzzled issue on non-Hermitian topological systems is the existence of defective edge states beyond usual bulk-boundary…

强关联电子 · 物理学 2020-04-01 Xiao-Ran Wang , Cui-Xian Guo , Su-Peng Kou

We show that non-Hermiticity enables topological phases with unidirectional transport in one-dimensional Floquet chains. The topological signatures of these phases are non-contractible loops in the spectrum of the Floquet propagator that…

介观与纳米尺度物理 · 物理学 2020-06-04 Bastian Höckendorf , Andreas Alvermann , Holger Fehske

Non-Hermitian systems exhibit striking exceptions from the paradigmatic bulk-boundary correspondence, including the failure of bulk Bloch band invariants in predicting boundary states and the (dis)appearance of boundary states at parameter…

介观与纳米尺度物理 · 物理学 2018-07-17 Flore K. Kunst , Elisabet Edvardsson , Jan Carl Budich , Emil J. Bergholtz

The topological characterization of nonequilibrium topological matter is highly nontrivial because familiar approaches designed for equilibrium topological phases may not apply. In the presence of crystal symmetry, Floquet topological…

介观与纳米尺度物理 · 物理学 2021-07-28 Weiwei Zhu , Yidong Chong , Jiangbin Gong

Nonlinear transport has emerged as a powerful approach to probe the quantum geometry of electronic wavefunctions, such as Berry curvature and quantum metric, in topological materials. While nonlinear responses governed by bulk quantum…

介观与纳米尺度物理 · 物理学 2025-12-09 Deyi Zhuo , Xiaoda Liu , Huu-Thong Le , Annie G. Wang , Han Tay , Bomin Zhang , Ling-Jie Zhou , Binghai Yan , Chao-Xing Liu , Cui-Zu Chang

A non-Hermitian Chern insulator with gain/loss-type non-Hermiticity shows a peculiar gap closing; when a nontrivial Chern insulator phase changes to a gapless phase, conduction and valence bands are combined into one band owing to…

介观与纳米尺度物理 · 物理学 2022-04-20 Yositake Takane

We study the non-Hermitian topology of multi-terminal transport in a quantum spin-Hall device described by the Bernevig-Hughes-Zhang model. We show that breaking time-reversal symmetry alone does not imply non-reciprocal transport or a…

介观与纳米尺度物理 · 物理学 2026-02-13 Raghav Chaturvedi , Ion Cosma Fulga , Jeroen van den Brink , Ewelina M. Hankiewicz

The congregation of topological quantum and classical systems with the ideas of non-Hermitian physics has generated enormous research interest in the last few years. While the concepts associated to non-trivial topological aspects have…

应用物理 · 物理学 2021-08-27 Nitish Kumar Gupta , Arun M. Jayannavar

It is generally believed that non-Hermiticity can transform Weyl semimetals into Weyl-exceptional-ring semimetals. However, this belief is from the systems without skin effect. We investigate the non-Hermitian Weyl semimental and its…

介观与纳米尺度物理 · 物理学 2022-04-01 Hong Wu , Jun-Hong An

Over the past few years, topological insulators have taken center stage in solid state physics. The desire to tune the topological invariants of the bulk and thus control the number of edge states has steered theorists and experimentalists…

介观与纳米尺度物理 · 物理学 2014-10-01 J. K. Asboth , B. Tarasinski , P. Delplace

A modified periodic boundary condition adequate for non-hermitian topological systems is proposed. Under this boundary condition a topological number characterizing the system is defined in the same way as in the corresponding hermitian…

介观与纳米尺度物理 · 物理学 2019-11-04 Ken-Ichiro Imura , Yositake Takane