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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…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Shu Hamanaka

We investigate the interplay between the non-Hermitian skin effect (NHSE), parity-time (PT) symmetry, and topological defect states in a finite non-Hermitian Su-Schrieffer-Heeger (SSH) chain. In the conventional NHSE regime, non-reciprocal…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 S. M. Rafi-Ul-Islam , Zhuo Bin Siu , Md Saddam Hossain Razo , Mansoor B. A. Jalil

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 effect describes the concentration of an extensive number of eigenstates near the boundaries of certain dissipative systems. This phenomenon has raised a huge interest in different areas of physics, including…

Optics · Physics 2025-04-10 Stefano Longhi

The dynamical consequences of the non-Hermitian skin effect (NHSE) remain largely unexplored despite extensive studies of its static properties. Here we address this gap by applying quantum Liang information flow (QLIF) an inherently…

Quantum Physics · Physics 2026-03-10 Bin Yi

We revisit the fate of the skin modes in many-body non-Hermitian fermionic systems. Contrary to the single-particle case, the many-body ground state cannot exhibit an exponential localization of all eigenstates due to the Pauli exclusion…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Faisal Alsallom , Loïc Herviou , Oleg V. Yazyev , Marta Brzezińska

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…

Mesoscale and Nanoscale Physics · Physics 2019-05-10 Motohiko Ezawa

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…

Higher-order topological states in sound have played a pivotal role in understanding the intricate physics underlying sound transport, giving rise to new strategy of manipulating sound. Here we report tunable structure for hinge skin states…

Optics · Physics 2025-05-12 Y. X. Fang , W. H. Zhu , Y. P. Lai , Y. Li , S. Q. Wu

Typically, scaling up the size of a system does not change the shape of its energy spectrum, other than making it denser. Exceptions, however, occur in the new phenomenon of non-Hermitian skin criticality, where closely competing…

Disordered Systems and Neural Networks · Physics 2025-11-18 Xiaoyu Cheng , Hui Jiang , Jun Chen , Lei Zhang , Yee Sin Ang , Ching Hua Lee

Non-Hermitian skin effect, which refers to the phenomenon that an extensive number of eigenstates are localized at the boundary, has been widely studied in lattice models and experimentally observed in several classical systems. In this…

Quantum Gases · Physics 2023-01-02 Sibo Guo , Chenxiao Dong , Fuchun Zhang , Jiangping Hu , Zhesen Yang

We study the effect of quenched disorder on the non-Hermitian skin effect in systems that conserve a U(1) charge and its associated multipole moments. In particular, we generalize the Hatano-Nelson argument for a localization transition in…

Disordered Systems and Neural Networks · Physics 2026-03-26 Jacopo Gliozzi , Federico Balducci , Taylor L. Hughes , Giuseppe De Tomasi

This paper shows that the skin effect in systems of non-Hermitian subwavelength resonators is robust with respect to random imperfections in the system. The subwavelength resonators are highly contrasting material inclusions that resonate…

Mathematical Physics · Physics 2023-08-14 Habib Ammari , Silvio Barandun , Bryn Davies , Erik Orvehed Hiltunen , Ping Liu

One of the most pronounced non-Hermitian phenomena is the non-Hermitian skin effect, which refers to the exponential localization of bulk eigenstates near the boundaries of non-Hermitian systems. Whereas non-Bloch band theory has been…

Mesoscale and Nanoscale Physics · Physics 2024-11-27 Yu-Min Hu , Yin-Quan Huang , Wen-Tan Xue , Zhong Wang

The hybrid skin-topological effect (HSTE) in non-Hermitian systems exhibits both the skin effect and topological protection, offering a novel mechanism for the localization of topological edge states (TESs) in electrons, circuits, and…

Mesoscale and Nanoscale Physics · Physics 2024-03-21 Jianzhi Chen , Aoqian Shi , Yuchen Peng , Peng Peng , Jianjun Liu

From biological ecosystems to spin glasses, connectivity plays a crucial role in determining the function, dynamics, and resiliency of a network. In the realm of non-Hermitian physics, the possibility of complex and asymmetric exchange…

The non-Hermitian skin effect (NHSE) undermines the conventional bulk-boundary correspondence (BBC) since it results in a distinct bulk spectrum in open-boundary systems compared to the periodic counterpart. Using the non-Hermitian (NH)…

Mesoscale and Nanoscale Physics · Physics 2024-05-03 Yi-Xin Xiao , Zhao-Qing Zhang , C. T. Chan

As a distinctive feature unique to non-Hermitian systems, non-Hermitian skin effect displays fruitful exotic phenomena in one or higher dimensions, especially when conventional topological phases are involved. Among them, hybrid…

Mesoscale and Nanoscale Physics · Physics 2023-12-20 Junpeng Wu , Riyi Zheng , Jialuo Liang , Manzhu Ke , Jiuyang Lu , Weiyin Deng , Xueqin Huang , Zhengyou Liu

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

The non-Hermitian skin effect, characterized by a proliferation of exponentially localized edge modes in open-boundary systems, has led to the discovery of numerous novel physical phenomena that challenge the limits of conventional band…

Mesoscale and Nanoscale Physics · Physics 2025-08-13 Kai Zhang , Chang Shu , Kai Sun
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