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We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary co-dimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green functions, we outline…

介观与纳米尺度物理 · 物理学 2020-02-12 Dan S. Borgnia , Alex Jura Kruchkov , Robert-Jan Slager

The non-Hermitian skin effect is an anomalous localization phenomenon induced by nonreciprocal dissipation and has attracted considerable attention in recent years both theoretically and experimentally. In this article, we review the…

无序系统与神经网络 · 物理学 2026-03-30 Shu Hamanaka

The non-Hermitian skin effect is a unique feature of non-Hermitian systems, in which an extensive number of boundary modes appear under the open boundary conditions. Here, we discover higher-order counterparts of the non-Hermitian skin…

介观与纳米尺度物理 · 物理学 2020-11-18 Kohei Kawabata , Masatoshi Sato , Ken Shiozaki

Non-Hermitian skin effects are conventionally manifested as boundary localization of eigenstates in linear systems. In nonlinear settings, however, where eigenstates are no longer well defined, it becomes unclear how skin effects should be…

介观与纳米尺度物理 · 物理学 2026-01-08 Shu Hamanaka

Time has entered the domain of topological phases in the field of non-Hermitian physics. Previous studies have relied on periodic modulation in time to make an intuitive connection to established spatial topological invariants, albeit with…

Topological modes (TMs) are typically localized at boundaries, interfaces and dislocations, and exponentially decay into the bulk of a large enough lattice. Recently, the non-Hermitian skin effect has been leveraged to delocalize the…

量子物理 · 物理学 2024-02-13 Kai Bai , Jia-Zheng Li , Tian-Rui Liu , Liang Fang , Duanduan Wan , Meng Xiao

Skin effect, experimentally discovered in one dimension, describes the physical phenomenon that on an open chain, an extensive number of eigenstates of a non-Hermitian hamiltonian are localized at the end(s) of the chain. Here in two and…

介观与纳米尺度物理 · 物理学 2022-05-09 Kai Zhang , Zhesen Yang , Chen Fang

Far from being limited to a trivial generalization of their Hermitian counterparts, non-Hermitian topological phases have gained widespread interest due to their unique properties. One of the most striking non-Hermitian phenomena is the…

介观与纳米尺度物理 · 物理学 2022-05-25 Kuangyin Deng , Benedetta Flebus

Localization of a macroscopic number of eigenstates on a real-space boundary, known as the non-Hermitian skin effect, is one of the striking topological features emerging from non-Hermiticity. Realizing this effect typically requires…

The emergence of the non-Hermitian skin effect, distinguished by the exponential localization of bulk states onto boundaries in open systems, has redefined the conventional band theory. It can be established through the generalized…

其他凝聚态物理 · 物理学 2026-05-19 Jiuchun Meng , Lichao Sun , Xiumei Wang , Dandan Zhu , Xingping Zhou

Subskin modes are distinct from conventional skin modes as they localize not at the system's edge but rather below the edge. Unlike skin modes, where a substantial number of them can accumulate at the boundaries of a system due to the…

光学 · 物理学 2025-05-26 C. Yuce

The Hatano-Nelson and the non-Hermitian Su-Schrieffer-Heeger model are paradigmatic examples of non-Hermitian systems that host non-trivial boundary phenomena. In this work, we use recently developed graph-theoretical tools to design…

Solids built out of active components can exhibit non-reciprocal elastic coefficients that give rise to non-Hermitian wave phenomena. Here, we investigate non-Hermitian effects present at the boundary of two-dimensional active elastic media…

软凝聚态物质 · 物理学 2020-09-16 Colin Scheibner , William T. M. Irvine , Vincenzo Vitelli

Non-Hermitian topology provides a research frontier for exploring topological phenomena, revealing novel topological effects and driving the development of emergent materials and platforms. Here, we explore the non-Hermitian Chern insulator…

光学 · 物理学 2024-11-13 Yi-Ling Zhang , Li-Wei Wang , Yang Liu , Zhao-Xian Chen , Jian-Hua Jiang

We investigate the non-Hermitian Haldane model on hyperbolic $\{8, 3\}$ and $\{12, 3\}$ lattices, and showcase its intriguing topological properties in the simultaneous presence of non-Hermitian effect and hyperbolic geometry. From bulk…

介观与纳米尺度物理 · 物理学 2023-12-27 Junsong Sun , Chang-An Li , Shiping Feng , Huaiming Guo

The non-Hermitian skin effect (NHSE), characterized by the accumulation of a macroscopic number of bulk states at system boundaries, is a hallmark of non-Hermitian physics. However, effective control of skin-mode localization in…

无序系统与神经网络 · 物理学 2025-12-09 Zhao-Fan Cai , Yang Li , Yu-Ran Zhang , Xiaomin Wei , Zhongmin Yang , Tao Liu , Franco Nori

The non-Hermitian (NH) skin effect is a truly NH feature, which manifests itself as an accumulation of states, known as skin states, on the boundaries of a system. In this perspective, we discuss several aspects of the NH skin effect…

量子物理 · 物理学 2025-08-18 Julius T. Gohsrich , Ayan Banerjee , Flore K. Kunst

The interplay between non-Hermitian topology and disorder remains a central puzzle in open quantum systems. While the non-Hermitian skin effect (NHSE) is known to be robust against weak perturbations, its fate under strong disorder,…

无序系统与神经网络 · 物理学 2025-12-04 Ali Tozar

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…

应用物理 · 物理学 2025-04-08 Wenquan Wu , Qicheng Zhang , Liangjun Qi , Kun Zhang , Shuaishuai Tong , Chunyin Qiu

The confluence of non-Hermitian (NH) topology and crystal defects has culminated significant interest, yet its experimental exploration has been limited due to the challenges involved in design and measurements. Here, we showcase…

介观与纳米尺度物理 · 物理学 2026-01-30 Jia-Xin Zhong , Bitan Roy , Yun Jing