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The non-Hermitian skin effect (NHSE), the accumulation of eigen wavefunctions at boundaries of open systems, underlies a variety of exotic properties that defy conventional wisdom. While NHSE and its intriguing impact on band topology and…

Quantum Gases · Physics 2022-08-16 Qian Liang , Dizhou Xie , Zhaoli Dong , Haowei Li , Hang Li , Bryce Gadway , Wei Yi , Bo Yan

We study the Green's functions in non-Hermitian systems exhibiting the critical non-Hermitian skin effect (critical NHSE) using a double-chain Hatano-Nelson model with inter-chain coupling $\Delta$. For $\Delta=0$, the system decouples into…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Yifei Yi , Zhesen Yang

We provide a systematic and self-consistent method to calculate the generalized Brillouin Zone (GBZ) analytically in one dimensional non-Hermitian systems, which helps us to understand the non-Hermitian bulk-boundary correspondence. In…

Mesoscale and Nanoscale Physics · Physics 2020-12-08 Zhesen Yang , Kai Zhang , Chen Fang , Jiangping Hu

The non-Hermitian skin effect (NHSE) is a fascinating phenomenon in nonequilibrium systems where eigenstates massively localize at the systems' boundaries, pumping (quasi-)particles loaded in these systems unidirectionally to the…

Quantum Physics · Physics 2025-02-11 Yi Qin , Ching Hua Lee , Linhu Li

The non-Hermitian skin effect (NHSE) is a distinctive topological phenomenon observed in nonHermitian systems. Recently, there has been considerable interest in exploring higher-order NHSE occurrences in two and three dimensions. In such…

Symmetry-protected ideal flat bands in one-dimensional (1D) Hermitian lattices are populated by compact localized states (CLS) - a special class of localization with wavefunctions confined within a small region. In this work, we discover…

Quantum Physics · Physics 2025-12-24 Xulong Wang , Dongyi Wang , Congwei Lu , Ruo-Yang Zhang , Ching Hua Lee , Kun Ding , Guancong Ma

Recently, it has been observed that the Floquet-Bloch transform with real quasiperiodicities fails to capture the spectral properties of non-reciprocal systems. The aim of this paper is to introduce the notion of a generalised Brillouin…

Mathematical Physics · Physics 2024-08-12 Habib Ammari , Silvio Barandun , Ping Liu , Alexander Uhlmann

The non-Hermitian skin effect (NHSE) is a novel localization phenomenon, in which all bulk states in a non-Hermitian system under certain conditions are localized at the edge of the system. Conventionally, most studies of NHSE have dealt…

Optics · Physics 2025-05-05 Issei Takeda , Taiki Yoda , Yuto Moritake , Kenta Takata , Masaya Notomi

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 non-Hermitian skin effect is a unique phenomenon in which an extensive number of eigenstates are localized at the boundaries of a non-Hermitian system. Recent studies show that the non-Hermitian skin effect is significantly suppressed…

Mesoscale and Nanoscale Physics · Physics 2024-11-21 Chang-An Li , Björn Trauzettel , Titus Neupert , Song-Bo Zhang

A perspective on non-Hermitian physics in magnetic systems is addressed in this short article, including exceptional points, exceptional nodal phases, the non-Hermitian SSH model, and the non-Hermitian skin effect.

Mesoscale and Nanoscale Physics · Physics 2023-08-24 Tao Yu , J. W. Rao

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

Non-Hermitian systems exhibit unique boundary phenomena absent in their Hermitian counterparts, most notably the non-Hermitian skin effect (NHSE). In this work, we explore a lattice model consisting of two coupled non-reciprocal chains,…

Optics · Physics 2025-12-12 Yixuan Li , Linhu Li , Zhihao Xu

The non-Hermitian skin effect (NHSE), which drives bulk states toward system boundaries, modifies bulk-boundary correspondence and complicates the identification of topological edge modes. Although breaking translational symmetry is known…

Strongly Correlated Electrons · Physics 2026-03-25 F. Iwase

We use the generalized Bloch theorem formalism of Alase {\it et al.} [{\it Phys. Rev. Lett.} {\bf 117} 076804 (2016)] to analyze simple one-dimensional tight-binding lattice systems connected by Hermitian bonds (all with the same hopping…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Balázs Hetényi , Balázs Dóra

The non-Hermitian edge burst is a phenomenon observed in non-Hermitian quantum dynamics, characterized by a significant accumulation of loss at the boundaries of a system. We present an example of the edge burst effect in a lossy lattice…

Quantum Physics · Physics 2025-06-11 G. Sen , C. Yuce

Anderson localization (AL) and the non-Hermitian skin effect (NHSE) represent two paradigmatic localization phenomena driven, respectively, by disorder and non-Hermiticity. In one-dimensional (1D) non-Hermitian systems, these factors are…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Moirangthem Sanahal , Subhasis Panda , Snehasish Nandy

Periodic-boundary spectrum, open-boundary spectrum, as well as the generalized Brillouin zone (GBZ) are three essential properties of a one-dimensional non-Hermitian system. In this paper we illustrate that the deep connections between them…

Other Condensed Matter · Physics 2022-02-09 Deguang Wu , Jiao Xie , Yao Zhou , Jin An

In this paper, we study a non-Hermitian (NH) ladder subjected to a variety of driving protocols. The driven system looses chiral symmetry (CS) whose presence is indispensable for its topological characterization. Further, the bulk boundary…

Mesoscale and Nanoscale Physics · Physics 2025-04-03 Koustav Roy , Koustabh Gogoi , Saurabh Basu

The skin effect, where bulk modes collapse into boundary modes, is a key phenomenon in topological non-Hermitian systems, has been predominantly studied in spinless systems. Recent studies illustrate the magnetic suppression of the…

Mesoscale and Nanoscale Physics · Physics 2024-08-19 Wenna Zhang , Yutao Hu , Hongyi Zhang , Xiang Liu , Georgios Veronis , Yuecheng Shen , Yin Huang , Wenchen Luo , Andrea Alu`
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