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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

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

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

A nonzero non-Hermitian winding number indicates that a gapped system is in a nontrivial topological class due to the non-Hermiticity of its Hamiltonian. While for Hermitian systems nontrivial topological quantum numbers are reflected by…

介观与纳米尺度物理 · 物理学 2021-06-02 Heinrich-Gregor Zirnstein , Bernd Rosenow

Non-Hermitian skin-edge states emerge only at one edge in one-dimensional nonreciprocal chains, where all states are localized at the edge irrespective of eigenvalues. The bulk topological number is the winding number associated with the…

介观与纳米尺度物理 · 物理学 2019-05-10 Motohiko Ezawa

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

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

Bulk boundary correspondence is crucial to topological insulator as it associates the boundary states (with zero energy, chiral or helical) to topological numbers defined in bulk. The application of this correspondence needs a prerequisite…

介观与纳米尺度物理 · 物理学 2017-05-18 Ye Xiong

In contrast to eigenvalue-based approaches, we formulate the bulk-boundary correspondence for two-dimensional non-Hermitian quadratic lattice Hamiltonians in terms of Toeplitz operators and singular values, which correctly capture the…

统计力学 · 物理学 2026-02-17 J. Sirker

The conventional bulk-boundary correspondence breaks down in non-Hermitian systems. In this paper, we reestablish the bulk-boundary correspondence in one-dimensional non-Hermitian systems by applying the scattering theory, which is a…

量子物理 · 物理学 2023-02-15 Haoshu Li , Qian Niu

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 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 spectral and dynamical properties of dissipative quantum systems, as modeled by a damped oscillator in the Fock space, are investigated from a topological point of view. Unlike a physical lattice system that is naturally under the open…

量子物理 · 物理学 2021-06-02 Jian-Song Pan , Linhu Li , Jiangbin Gong

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 correspondences (BBCs) remain the central topic in modern condensed matter physics, and are gaining increasing interests with the recent discovery of non-Hermitian skin effects. However, there still exist profound features of…

量子气体 · 物理学 2024-07-12 Huan-Yu Wang , Zhen-Biao Yang , Wu-Ming Liu

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

The breakdown of conventional bulk-boundary correspondence, a cornerstone of topological physics, is one of counter-intuitive phenomena in non-Hermitian systems, that is deeply rooted in symmetry. In particular, preserved chiral symmetry is…

介观与纳米尺度物理 · 物理学 2025-04-08 Miao Zhang , Yue Zhang , Shuai Li , Rui Tian , Tianhao Wu , Yingchao Xu , Yi-an Li , Yuanbang Wei , Hong Gao , M. Suhail Zubairy , Fuli Li , Bo Liu

Topological materials exhibit edge-localized scattering-free modes protected by their nontrivial bulk topology through the bulk-edge correspondence in Hermitian systems. While topological phenomena have recently been much investigated in…

介观与纳米尺度物理 · 物理学 2020-11-16 Kazuki Sone , Yuto Ashida , Takahiro Sagawa

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

The effect of non-Hermiticity in band topology has sparked many discussions on non-Hermitian topological physics. It has long been known that non-Hermitian Hamiltonians can exhibit real energy spectra under the condition of parity-time…

介观与纳米尺度物理 · 物理学 2024-03-20 Yang Long , Haoran Xue , Baile Zhang