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The study of topological states has developed rapidly in electric circuits, which permits flexible fabrications of non-Hermitian systems by introducing non-Hermitian terms. Here, nonreciprocal coupling terms are realized by utilizing a…

介观与纳米尺度物理 · 物理学 2023-10-17 Bin Liu , Yang Li , Bin Yang , Xiaopeng Shen , Yuting Yang , Zhi Hong Hang , Motohiko Ezawa

A prominent feature of some one-dimensional non-Hermitian systems is that all right-eigenstates of the non-Hermitian Hamiltonian are localized in one end of the chain. The topological and trivial phases are distinguished by the emergence of…

介观与纳米尺度物理 · 物理学 2019-07-17 Motohiko Ezawa

Recently, topological quantum states of non-Hermitian systems, exhibiting rich new exotic states, have attracted great attention in condensed-matter physics. As for the demonstration, most of non-Hermitian topological phenomena previously…

介观与纳米尺度物理 · 物理学 2019-02-15 Huaiqiang Wang , Jiawei Ruan , Haijun Zhang

A non-Hermitian topological insulator is fundamentally different from conventional topological insulators. The non-Hermitian skin effect arises in a nonreciprocal tight binding lattice with open edges. In this case, not only topological…

介观与纳米尺度物理 · 物理学 2020-01-01 C. Yuce

Robust boundary states epitomize how deep physics can give rise to concrete experimental signatures with technological promise. Of late, much attention has focused on two distinct mechanisms for boundary robustness - topological protection,…

介观与纳米尺度物理 · 物理学 2021-12-30 Deyuan Zou , Tian Chen , Wenjing He , Jiacheng Bao , Ching Hua Lee , Houjun Sun , Xiangdong Zhang

Non-Hermiticity gives rise to distinctive topological phenomena absent in Hermitian systems. However, connection between such intrinsic non-Hermitian topology and Hermitian topology has remained largely elusive. Here, considering the bulk…

介观与纳米尺度物理 · 物理学 2025-01-07 Shu Hamanaka , Tsuneya Yoshida , Kohei Kawabata

The topology of non-Hermitian systems is fundamentally changed by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence. Based on the non-Bloch band theory, we get insight into the interplay between the…

超导电性 · 物理学 2024-03-28 Xaing Ji , Wenchen Ding , Yuanping Chen , Xiaosen Yang

Bulk-boundary correspondence, connecting the bulk topology and the edge states, is an essential principle of the topological phases. However, the bulk-boundary correspondence is broken down in general non-Hermitian systems. In this paper,…

介观与纳米尺度物理 · 物理学 2021-02-24 Yang Cao , Yang Li , Xiaosen Yang

Exploring topological phases in non-Hermitian systems has attracted significant recent attention. One intriguing question is how topological edge states compete with the non-Hermitian skin effect. Here, we report the experimental…

介观与纳米尺度物理 · 物理学 2023-07-26 Chan Tang , Huanhuan Yang , Lingling Song , Xianglong Yao , Peng Yan , Yunshan Cao

The bulk-boundary or bulk-edge correspondence is a principle relating surface confined states to the topological classification of the bulk. By combining non-Hermitian ingredients in terms of gain or loss with media that violate…

介观与纳米尺度物理 · 物理学 2020-11-18 Penglin Gao , Morten Willatzen , Johan Christensen

Topological phases of Hermitian systems are known to exhibit intriguing properties such as the presence of robust boundary states and the famed bulk-boundary correspondence. These features can change drastically for their non-Hermitian…

介观与纳米尺度物理 · 物理学 2019-07-01 Flore K. Kunst , Vatsal Dwivedi

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

Non-Hermitian Hamiltonians, which describe a wide range of dissipative systems, and higher-order topological phases, which exhibit novel boundary states on corners and hinges, comprise two areas of intense current research. Here we…

介观与纳米尺度物理 · 物理学 2019-03-13 Elisabet Edvardsson , Flore K. Kunst , Emil J. Bergholtz

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

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

Non-Hermitian systems can exhibit extraordinary sensitivity to boundary conditions. Given that topological boundary modes and non-Hermitian skin effects can either coexist or individually appear in non-Hermitian systems, it is of great…

量子物理 · 物理学 2024-02-27 Xintong Zhang , Jing Li

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

Topological phases of matter are conventionally characterized by the bulk-boundary correspondence in Hermitian systems: The topological invariant of the bulk in $d$ dimensions corresponds to the number of $(d-1)$-dimensional boundary…

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

Hermitian topological materials are characterized by the nontrivial relation between topological numbers and edge modes, i.e. the bulk-boundary correspondence. In non-Hermitian systems, the conventional correspondence breaks down. Instead,…

强关联电子 · 物理学 2022-11-22 Shohei Masuda , Masaaki Nakamura
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