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相关论文: Generalized bulk-boundary correspondence in period…

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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

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

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

We focus on a scenario of non-Hermitian bulk--boundary correspondence that uses a topological invariant defined in a bulk geometry under a modified periodic boundary condition. Although this has succeeded in describing the topological…

介观与纳米尺度物理 · 物理学 2023-11-23 Chihiro Ishii , Yositake Takane

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

The breakdown of the bulk-boundary correspondence in non-Hermitian (NH) topological systems is an open, controversial issue. In this paper, to resolve this issue, we ask the following question: Can a (global) topological invariant…

介观与纳米尺度物理 · 物理学 2020-12-30 Xiao-Ran Wang , Cui-Xian Guo , Su-Peng Kou

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

A striking feature of non-Hermitian systems is the presence of two different types of topology. One generalizes Hermitian topological phases, and the other is intrinsic to non-Hermitian systems, which are called line-gap topology and…

介观与纳米尺度物理 · 物理学 2024-04-01 Daichi Nakamura , Takumi Bessho , Masatoshi Sato

Non-Hermitian (NH) Hamiltonians can be used to describe dissipative systems, and are currently intensively studied in the context of topology. A salient difference between Hermitian and NH models is the breakdown of the conventional…

介观与纳米尺度物理 · 物理学 2020-10-14 Elisabet Edvardsson , Flore K. Kunst , Tsuneya Yoshida , Emil J. Bergholtz

We study the quench dynamics of non-Hermitian topological models with non-Hermitian skin effects. Adopting the non-Bloch band theory and projecting quench dynamics onto the generalized Brillouin zone, we find that emergent topological…

量子气体 · 物理学 2021-04-09 Tianyu Li , Jia-Zheng Sun , Yong-Sheng Zhang , Wei Yi

In previous studies, the topological invariants of 1D non-Hermitian systems have been defined in open boundary condition (OBC) to satisfy the bulk-boundary correspondence. The extreme sensitivity of bulk energy spectra to boundary…

介观与纳米尺度物理 · 物理学 2020-06-30 Eunwoo Lee , Hyunjik Lee , Bohm-Jung Yang

We identify and investigate two classes of non-Hermitian systems, i.e., one resulting from Lorentz-symmetry violation (LSV) and the other from a complex mass (CM) with Lorentz invariance, from the perspective of quantum field theory. The…

介观与纳米尺度物理 · 物理学 2019-08-21 Zi-Yong Ge , Yu-Ran Zhang , Tao Liu , Si-Wen Li , Heng Fan , Franco Nori

In Hermitian topological systems, the bulk-boundary correspondence strictly constraints boundary transport to values determined by the topological properties of the bulk. We demonstrate that this constraint can be lifted in non-Hermitian…

介观与纳米尺度物理 · 物理学 2019-11-26 Bastian Höckendorf , Andreas Alvermann , Holger Fehske

The anomalous bulk-boundary correspondence in non-Hermitian systems featuring an intricate interplay between skin and boundary modes has attracted enormous theoretical and experimental attention. Still, in dimensions higher than one, this…

介观与纳米尺度物理 · 物理学 2025-06-10 Fan Yang , Emil J. Bergholtz

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

The bulk-boundary correspondence plays a crucial role in topological quantum systems, however,this principle is broken in non-Hermitian systems. The breakdown of the bulk-boundary correspondence indicates that the global phase diagrams…

量子物理 · 物理学 2025-05-23 Xue-Ping Ren , Yue Hu , Long-Ye Lu , Xin-Ran Ma , Ji-Yao Fan , Cui-Xian Guo , Su-Peng Kou

The non-Hermitian skin effect refers to the accumulation of eigenstates near the boundary in open boundary lattice models, which can be systematically characterized using the non-Bloch band theory. Here, we apply the non-Bloch band theory…

量子物理 · 物理学 2024-09-11 Bo Li , He-Ran Wang , Fei Song , Zhong Wang

We study non-Bloch bulk-boundary correspondence in a non-Hermitian Su-Schieffer-Heeger model in a domain-wall configuration where the left and right bulks have different parameters. Focusing on the case where chiral symmetry is still…

量子气体 · 物理学 2019-07-10 Tian-Shu Deng , Wei Yi

The relation between chiral edge modes and bulk Chern numbers of quantum Hall insulators is a paradigmatic example of bulk-boundary correspondence. We show that the chiral edge modes are not strictly tied to the Chern numbers defined by a…

介观与纳米尺度物理 · 物理学 2018-09-26 Shunyu Yao , Fei Song , Zhong Wang

Periodically driven non-Hermitian systems can exhibit rich topological band structure and non-Hermitian skin effect, without analogs in their static or Hermitian counterparts. In this work we investigate the exceptional band-touching points…

介观与纳米尺度物理 · 物理学 2020-01-22 Xizheng Zhang , Jiangbin Gong