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Non-reciprocal systems exhibit extreme sensitivity to boundary conditions, typically manifesting as the non-Hermitian skin effect (NHSE) under open boundaries. By bridging the boundaries with a tunable impurity bond, one can access…

Mesoscale and Nanoscale Physics · Physics 2026-02-12 Kazuma Saito , Ryo Okugawa , Kazuki Yokomizo , Takami Tohyama , Chen-Hsuan Hsu

The non-Hermitian skin effect, nonreciprocity-induced anomalous localization of an extensive number of eigenstates, represents a hallmark of non-Hermitian topological systems with no analogs in Hermitian systems. Despite its significance…

Mesoscale and Nanoscale Physics · Physics 2025-09-22 Kohei Kawabata , Daichi Nakamura

The non-Hermitian skin effect (NHSE) is a significant phenomenon observed in non-Hermitian systems under open boundary conditions, where the extensive bulk eigenstates tend to accumulate at the lattice edges. In this article, we investigate…

Disordered Systems and Neural Networks · Physics 2023-06-07 Rui Qi , Junpeng Cao , Xiang-Ping Jiang

Non-Hermitian skin effect (NHSE) is one of the most fundamental phenomena in non-Hermitian physics. Although it is established that one-dimensional NHSE originates from the nontrivial spectral winding topology, the topological origin behind…

Classical Physics · Physics 2024-06-06 Qicheng Zhang , Yufei Leng , Liwei Xiong , Yuzeng Li , Kun Zhang , Liangjun Qi , Chunyin Qiu

Flat band and non-Hermitian are both significant conceptions in modern physics. In this study, we delve into the behaviours of flat bands in non-Hermitian systems, focusing on the interplay between the flat band and its dispersive…

Classical Physics · Physics 2025-01-06 Dongyi Wang , Ruoyang Zhang , Chinghua Lee , Kun Ding , Guancong Ma

In contrast to the conventional (first-order) non-Hermitian skin effect (NHSE) in a $d$-dimensional system with linear size $L$, the $n$th-order (higher-order) NHSE is characterized by skin modes localized at lower-dimensional boundaries of…

Quantum Physics · Physics 2025-07-15 Wen-Zheng Ling , Zhao-Fan Cai , Tao Liu

The non-Hermitian skin effect, by which the eigenstates of Hamiltonian are predominantly localized at the boundary, has revealed a strong sensitivity of non-Hermitian systems to the boundary condition. Here we experimentally observe a…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Lei Xiao , Wen-Tan Xue , Fei Song , Yu-Min Hu , Wei Yi , Zhong Wang , Peng Xue

Non-Hermitian skin effect and photonic topological edge states are of great interest in non-Hermitian physics and optics. However, the interplay between them is largly unexplored. Here, we propose and demonstrate experimentally the…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Yeyang Sun , Xiangrui Hou , Tuo Wan , Fangyu Wang , Shiyao Zhu , Zhichao Ruan , Zhaoju Yang

The non-Hermitian skin effect (NHSE) and nonlinearity can both delocalize topological modes (TMs) from the interface. However, the NHSE requires precise parameter tuning, while nonlinearity in Hermitian systems results in partial…

Quantum Physics · Physics 2025-09-03 Zhao-Fan Cai , Yu-Chun Wang , Yu-Ran Zhang , Tao Liu , Franco Nori

Non-Hermitian skin effect (NHSE) in non-Hermitian lattice systems, associated with a point gap on the complex energy plane, has attracted great theoretical and experimental interest. Much less is studied on the so-called second-order…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Weiwei Zhu , Jiangbin Gong

Non-Hermitian systems exhibit novel phenomena without Hermitian counterparts, such as exceptional points and the non-Hermitian skin effect. These non-Hermitian topological phenomena are observable in single-particle excitations of…

Strongly Correlated Electrons · Physics 2024-09-11 Robert Peters , Tsuneya Yoshida

The non-Hermitian skin effect (NHSE), a striking phenomenon where a large number of states accumulate toward open boundaries, has garnered significant attention in both fundamental physics and emerging applications. Recent theoretical…

Applied Physics · Physics 2025-04-08 Wenquan Wu , Qicheng Zhang , Liangjun Qi , Kun Zhang , Shuaishuai Tong , Chunyin Qiu

The scalefree non-Hermitian skin effect (NHSE) refers to the phenomenon that the localization length of skin modes scales proportionally with system size in non-Hermitian systems. Authors of recent studies have demonstrated that the…

Quantum Physics · Physics 2024-01-17 Wei Li , Zhoujian Sun , Ze Yang , Fuxiang Li

The non-Hermitian skin effect, i.e. eigenstate condensation at the edges in lattices with open boundaries, is an exotic manifestation of non-Hermitian systems. In Bloch theory, an effective non-Hermitian Hamiltonian is generally used to…

Quantum Physics · Physics 2020-12-15 Stefano Longhi

The bulk-boundary correspondence (BBC) relates in-gap boundary modes to bulk topological invariants. In certain non-Hermitian topological systems, conventional BBC becomes invalid in the presence of the non-Hermitian skin effect (NHSE),…

Mesoscale and Nanoscale Physics · Physics 2024-04-15 Rijia Lin , Linhu Li

Non-Hermitian lattices can host the non-Hermitian skin effect, a boundary-induced collapse of all bulk eigenstates into exponentially localized edge modes. This effect underlies anomalous bulk-boundary correspondence and remarkable…

Optics · Physics 2026-05-19 Rohith Srikanth , Sashank Kaushik Sridhar , Avik Dutt

The non-Hermitian skin effect (NHSE) refers to the accumulation of an extensive number of eigenstates at system boundaries under open boundary conditions (OBCs). As a dynamical consequence, wave packets in such systems drift and ultimately…

Quantum Physics · Physics 2026-04-14 Wuping Yang , H. Huang

We unveil an unexpected non-Hermitian phenomenon, dubbed edge burst, in non-Hermitian quantum dynamics. Specifically, in a class of non-Hermitian quantum walk in periodic lattices with open boundary condition, an exceptionally large portion…

Quantum Physics · Physics 2022-03-25 Wen-Tan Xue , Yu-Min Hu , Fei Song , Zhong Wang

The non-Hermitian skin effect (NHSE) is a hallmark of non-Hermitian system, yet its generalized Brillouin zone (GBZ) description is restricted to periodic systems. We develop a site-resolved theory via a local scaling transformation (LST),…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Chen-Hao Zhao , Jia-Rui Li , Yuping Tian , Wei-Jiang Gong

Non-Hermitian skin effect (NHSE), namely that eigenstates of non-Hermitian Hamiltonains are localized at one boundary in the open boundary condition, attracts great interest recently.In this paper, we investigate the skin effect in…

Quantum Physics · Physics 2024-07-18 Liang Mao , Xuanpu Yang , Ming-Jie Tao , Haiping Hu , Lei Pan
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