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Topological edge modes are excitations that are localized at the materials' edges and yet are characterized by a topological invariant defined in the bulk. Such bulk-edge correspondence has enabled the creation of robust electronic,…

介观与纳米尺度物理 · 物理学 2020-11-30 Ananya Ghatak , Martin Brandenbourger , Jasper van Wezel , Corentin Coulais

Bulk-edge correspondence, with quantized bulk topology leading to protected edge states, is a hallmark of topological states of matter and has been experimentally observed in electronic, atomic, photonic, and many other systems. While…

It was known that for non-Hermitian topological systems due to the non-Hermitian skin effect, the bulk-edge correspondence is broken down. In this paper, by using one-dimensional Su-SchriefferHeeger model and two-dimensional (deformed)…

介观与纳米尺度物理 · 物理学 2020-05-20 Can Wang , Xiao-Ran Wang , Cui-Xian Guo , Su-Peng Kou

The bulk-edge correspondence (BEC) is the hallmark of topological systems. In continuous (nonlattice) Hermitian systems with an unbounded wave vector, it was recently shown that the BEC of Chern insulators is modified. How would it be…

介观与纳米尺度物理 · 物理学 2023-02-13 Orr Rapoport , Moshe Goldstein

Self-propulsion is a quintessential aspect of biological systems, which can induce nonequilibrium phenomena that have no counterparts in passive systems. Motivated by biophysical interest together with recent advances in experimental…

软凝聚态物质 · 物理学 2026-02-26 Kazuki Sone , Kazuki Yokomizo , Kyogo Kawaguchi , Yuto Ashida

The topological band theory predicts that bulk materials with nontrivial topological phases support topological edge states. This phenomenon is universal for various wave systems and has been widely observed for electromagnetic and acoustic…

介观与纳米尺度物理 · 物理学 2021-07-14 Hao Hu , Song Han , Yihao Yang , Dongjue Liu , Haoran Xue , Gui-Geng Liu , Zheyu Cheng , Qi Jie Wang , Shuang Zhang , Baile Zhang , Yu Luo

Here, building on our previous work [Phys. Rev. B, 92, 125153, (2015)], it is shown that the propagation of unidirectional gapless edge states at an interface of two topologically distinct electromagnetic continua with a well-behaved…

光学 · 物理学 2017-03-03 Mario G. Silveirinha

We address the breakdown of the bulk-boundary correspondence observed in non-Hermitian systems, where open and periodic systems can have distinct phase diagrams. The correspondence can be completely restored by considering the Hamiltonian's…

介观与纳米尺度物理 · 物理学 2019-05-24 Loic Herviou , Jens H. Bardarson , Nicolas Regnault

Bulk-boundary correspondence, a central principle in topological matter relating bulk topological invariants to edge states, breaks down in a generic class of non-Hermitian systems that have so far eluded experimental effort. Here we…

介观与纳米尺度物理 · 物理学 2020-08-21 Lei Xiao , Tianshu Deng , Kunkun Wang , Gaoyan Zhu , Zhong Wang , Wei Yi , Peng Xue

Topological edge states in gaps of non-Hermitian systems are robust due to topological protection. Using the non-Hermitian Floquet Su-Schrieffer-Heeger model, we show that this robustness can break down: edge states may be suppressed by…

量子物理 · 物理学 2025-10-13 Hong Wu , Xue-Min Yang , Hui Liu

Wave scattering structures with amplification and dissipation can be modelled by non-Hermitian systems, opening new ways to control waves at small length scales. In this work, we study the phenomenon of topologically protected edge states…

偏微分方程分析 · 数学 2020-06-11 Habib Ammari , Erik Orvehed Hiltunen

We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is…

量子物理 · 物理学 2016-04-04 Tony E. Lee

The current understanding of the role of topology in non-Hermitian (NH) systems and its far-reaching physical consequences observable in a range of dissipative settings are reviewed. In particular, how the paramount and genuinely NH concept…

介观与纳米尺度物理 · 物理学 2021-03-03 Emil J. Bergholtz , Jan Carl Budich , Flore K. Kunst

Constructing systems that exhibit time-scales much longer than those of the underlying components, as well as emergent dynamical and collective behavior, is a key goal in fields such as synthetic biology and materials self-assembly.…

统计力学 · 物理学 2021-07-22 Evelyn Tang , Jaime Agudo-Canalejo , Ramin Golestanian

Critical edge states appear at the bulk gap closing points of topological transitions. Their emergence signify the existence of topologically nontrivial critical points, whose descriptions fall outside the scope of gapped topological…

介观与纳米尺度物理 · 物理学 2025-12-25 Longwen Zhou , Rujia Jing , Shenlin Wu

Non-Hermiticity can vary the topology of system, induce topological phase transition, and even invalidate the conventional bulk-boundary correspondence. Here, we show the introducing of non-Hermiticity without affecting the topological…

介观与纳米尺度物理 · 物理学 2019-07-30 K. L. Zhang , H. C. Wu , L. Jin , Z. Song

Recently, the study of non-Hermitian physics has attracted considerable attention. The modified bulk-boundary correspondence has been proposed to understand topological edge states in non-Hermitian static systems. Here we report a new…

光学 · 物理学 2019-06-18 Bo Wang , Tian Chen , Xiangdong Zhang

We analyze chiral topological edge modes in a non-Hermitian variant of the 2D Dirac equation. Such modes appear at interfaces between media with different "masses" and/or signs of the "non-Hermitian charge". The existence of these edge…

介观与纳米尺度物理 · 物理学 2017-01-25 Daniel Leykam , Konstantin Y. Bliokh , Chunli Huang , Y. D. Chong , Franco Nori

Dramatically different from the Hermitian systems, the conventional Bulk-Boundary Correspondence (BBC) is broken in the non-Hermitian systems. In this article, we use edge entanglement entropy to characterize the topological properties of…

强关联电子 · 物理学 2022-02-16 Weitao Chen , Liangtao Peng , Hantao Lu , Xiancong Lu

We establish non-Hermitian topological mechanics in one dimensional (1D) and two dimensional (2D) lattices consisting of mass points connected by meta-beams that lead to odd elasticity. Extended from the "non-Hermitian skin effect" in 1D…

软凝聚态物质 · 物理学 2020-05-19 Di Zhou , Junyi Zhang
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