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In ordered, translationally invariant non-Hermitian systems, the skin effect is understood as a boundary phenomenon: nonreciprocal hopping drives an extensive accumulation of eigenstates towards the edges, whereas the periodic-boundary…

Optics · Physics 2026-04-02 Yeyang Sun , Shu Yang , Yi Yang

We explore absorbing open-boundary modes in non-Hermitian photonic systems. The modes have a continuum spectrum in the infinite system-size limit and can exhibit the non-Hermitian skin effect. In contrast to the conventional non-Hermitian…

Optics · Physics 2022-11-23 Tetsuyuki Ochiai

The non-Hermitian skin effects are representative phenomena intrinsic to non-Hermitian systems: the energy spectra and eigenstates under the open boundary condition (OBC) drastically differ from those under the periodic boundary condition…

Mesoscale and Nanoscale Physics · Physics 2024-05-30 Yusuke O. Nakai , Nobuyuki Okuma , Daichi Nakamura , Kenji Shimomura , Masatoshi Sato

Recently, much attention has been paid to uncovering the influence of dissipation on a quantum system, particularly on how the non-Hermitian (NH) terms modify the band topology of topological materials and reshape the profile of the…

Strongly Correlated Electrons · Physics 2023-08-14 Fei Yang , Xue-Ping Ren , Su-peng Kou

Recently, it has been revealed that a variety of novel phenomena emerge in hyperbolic spaces, while non-Hermitian physics has significantly enriched the landscape of condensed matter physics. Building on these developments, we construct a…

Other Condensed Matter · Physics 2024-10-22 Ruizhe Shen , Wei Jie Chan , Ching Hua Lee

Topological modes (TMs) are usually localized at defects or boundaries of a much larger topological lattice. Recent studies of non-Hermitian band theories unveiled the non-Hermitian skin effect (NHSE), by which the bulk states collapse to…

Applied Physics · Physics 2022-08-05 Wei Wang , Xulong Wang , Guancong Ma

Skin effect that all eigenmodes within a frequency range become edge states is dictated by the topological properties of complex eigenvalues unique in non-Hermitian systems. The prevailing attempts to realize such a fascinating effect are…

Optics · Physics 2022-10-04 Zhening Fang , Mengying Hu , Lei Zhou , Kun Ding

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…

Disordered Systems and Neural Networks · Physics 2026-03-30 Shu Hamanaka

The non-Hermitian skin effect is an intriguing physical phenomenon, in which all eigen-modes of a non-Hermitian lattice become localized at boundary regions. While such an exotic behavior has been demonstrated in various physical platforms,…

Applied Physics · Physics 2025-01-27 Mathieu Padlewski , Romain Fleury , Hervé Lissek

A non-Hermitian system is characterized by the violation of energy conservation. As a result of unbalanced gain or loss in the forward and backward directions due to non-reciprocal couplings, the eigenmodes of such systems exhibit extreme…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 S M Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Ching Hua Lee , Mansoor B. A. Jalil

The non-Hermitian skin effect (NHSE) is a novel localization phenomenon in certain non-Hermitian systems with gain and/or loss. Most of previous works study the non-Hermitian skin effect in periodic systems. However, electromagnetic waves…

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…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Junsong Sun , Chang-An Li , Shiping Feng , Huaiming Guo

Non-Hermitian skin effect and critical skin effect are unique features of non-Hermitian systems. In this Letter, we study an open system with its dynamics of single-particle correlation function effectively dominated by a non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Chun-Hui Liu , Kai Zhang , Zhesen Yang , Shu Chen

This work investigates edge modes in non-Hermitian photonic crystals with broken spectral reciprocity. In such systems, the spectra of the underlying operators generally form closed loops over the complex plane with nontrivial spectral…

Mathematical Physics · Physics 2026-03-25 Junshan Lin , Hai Zhang

The discovery of the non-Hermitian skin effect (NHSE) has revolutionized our understanding of wave propagation in non-Hermitian systems, highlighting unexpected localization effects beyond conventional theories. Here, we discover that NHSE,…

Optics · Physics 2024-11-14 Ningxin Kong , Chenghe Yu , Yilun Xu , Matteo Fadel , Xinyao Huang , Qiongyi He

Skin effect, where macroscopically many bulk states are aggregated towards the system boundary, is one of the most important and distinguishing phenomena in non-Hermitian quantum systems. We discuss a new aspect of this effect whereby,…

Mesoscale and Nanoscale Physics · Physics 2021-12-17 Ming Lu , Xiao-Xiao Zhang , Marcel Franz

Non-Hermitian quantum systems, characterized by their ability to model open systems with gain and loss, have unveiled striking phenomena such as the non-Hermitian skin effect (NHSE), where eigenstates localize at boundaries under open…

Strongly Correlated Electrons · Physics 2026-01-06 Chakradhar Rangi , Juana Moreno , Ka-Ming Tam

The non-Hermitian skin effect (NHSE), featured by the collapse of bulk-band eigenstates into the localized boundary modes of the systems, is one of most striking properties in the fields of non-Hermitian physics. Unique physical phenomena…

Quantum Gases · Physics 2025-01-16 Zhao-Fan Cai , Tao Liu , Zhongmin Yang

The skin effect has been discovered in non-Hermitian Hamiltonian systems where all the eigenstates have their amplitudes concentrating to the open boundaries of the systems and decaying exponentially into the bulk. Later, certain open…

Quantum Physics · Physics 2022-10-05 Ziheng Zhou , Zhenhua Yu

Recently, it was established that there exists a direct relation between the non-Hermitian skin effects, -strong dependence of spectra on boundary conditions for non-Hermitian Hamiltonians-, and boundary zero modes for Hermitian topological…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Nobuyuki Okuma , Masatoshi Sato