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Related papers: Erratic non-Hermitian skin localization

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In disordered Hermitian systems, localization of energy eigenstates prohibits wave propagation. In non-Hermitian systems, however, wave propagation is possible even when the eigenstates of Hamiltonian are exponentially localized by…

Quantum Physics · Physics 2025-08-29 Bo Li , Chuan Chen , Zhong Wang

Non-Hermiticity greatly expands existing physical laws beyond the Hermitian framework, revealing various novel phenomena with unique properties. Up to now, most exotic nonHermitian effects, such as exceptional points and non-Hermitian skin…

Mesoscale and Nanoscale Physics · Physics 2021-09-20 Weixuan Zhang , Fengxiao Di , Hao Yuan , Haiteng Wang , Xingen Zheng , Lu He1 , Houjun Sun , Xiangdong Zhang

The well-established non-Bloch band theory predicts exponential localization of skin-mode eigenstates in one-dimensional (1D) non-Hermitian systems. Recent studies, however, have uncovered anomalous algebraic localization in higher…

Quantum Physics · Physics 2025-10-21 Zhao-Fan Cai , Tao Liu

In this paper, we investigate the non-Hermitian skin effect in a semi-infinite Fock-state lattice, where the inherent coupling scales as \sqrt{n}. By analytically solving a non-uniform, non-reciprocal SSH model, we demonstrate that the…

Quantum Physics · Physics 2026-01-21 Zhi Jiao Deng , Xing Yao Mi , Ruo Kun Cai , Chun Wang Wu , Ping Xing Chen

Phase transitions in non-Hermitian systems are at the focus of cutting edge theoretical and experimental research. On the one hand, parity-time- ($\cal PT$-) and anti-$\cal PT$-symmetric physics have gained ever-growing interest, due to the…

Quantum Physics · Physics 2023-01-10 Ievgen I. Arkhipov , Fabrizio Minganti

The extreme sensitivity of non-Hermitian Hamiltonians exhibiting the non-Hermitian skin effect (NHSE) has been extensively studied in recent years with well-established theoretical explanations. However, this sensitivity is often overlooked…

Quantum Physics · Physics 2025-07-01 Xu Feng , Shuo Liu , Shi-Xin Zhang , Shu Chen

Non-Hermitian effects have emerged as a new paradigm for the manipulation of phases of matter that profoundly changes our understanding of non-equilibrium systems, introducing novel concepts such as exceptional points and spectral topology,…

Quantum Physics · Physics 2023-12-14 Zhen Li , Li-Wei Wang , Xulong Wang , Zhi-Kang Lin , Guancong Ma , Jian-Hua Jiang

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 dislocation skin effect exhibits the capacity of topological defects to trap an extensive number of modes in two-dimensional non-Hermitian systems. Similar to the corresponding skin effects caused by system boundaries, this phenomenon…

Mesoscale and Nanoscale Physics · Physics 2024-04-30 Nisarg Chadha , Ali G. Moghaddam , Jeroen van den Brink , Cosma Fulga

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

In this paper, we present a concrete example that highlights how predictions in non-Hermitian quantum mechanics can be inaccurately influenced by the absence of environment-induced fluctuations in the model. Specifically, we investigate the…

Quantum Physics · Physics 2024-08-27 Clement Ehrhardt , Jonas Larson

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

Within the framework of non-Hermitian photonics, we investigate the spectral and dynamical properties of one- and two-dimensional non-Hermitian off-diagonal disordered optical lattices, where randomness is applied to the couplings rather…

Disordered Systems and Neural Networks · Physics 2026-05-28 E. T. Kokkinakis , I. Komis , K. G. Makris , E. N. Economou

Non-reciprocal lattice systems are among the simplest non-Hermitian systems, exhibiting several key features absent in their Hermitian counterparts. In this study, we investigate the Hatano-Nelson model with impurity and unveil how the…

Quantum Physics · Physics 2025-09-11 Nico G. Leumer , Dario Bercioux

Unlike their Hermitian counterparts, non-Hermitian (NH) systems may display an exponential sensitivity to boundary conditions and an extensive number of edge-localized states in systems with open boundaries, a phenomena dubbed the…

Disordered Systems and Neural Networks · Physics 2021-04-14 Jahan Claes , Taylor L. Hughes

In this paper, we study the properties of two-dimensional lattices in the presence of non-Hermitian disorder. In the context of coupled mode theory, we consider random gain-loss distributions on every waveguide channel (on site disorder).…

Disordered Systems and Neural Networks · Physics 2021-03-16 A. F. Tzortzakakis , K. G. Makris , E. N. Economou

A unique feature of non-Hermitian (NH) systems is the NH skin effect, i.e. the edge localization of an extensive number of bulk-band eigenstates in a lattice with open or semi-infinite boundaries. Unlike extended Bloch waves in Hermitian…

Quantum Physics · Physics 2022-04-14 Stefano Longhi

In this work, we explore interesting consequences arising from the coupling between a clean non-Hermitian chain with skin localization and a delocalized chain of the same length under various boundary conditions (BCs). We reveal that in the…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Sen Mu , Longwen Zhou , Linhu Li , Jiangbin Gong

We investigate theoretically tunable non-Hermitian skin effect in systems with gain and loss, and find that bipolar (quadripolar) non-Hermitian skin effect characterized by topological invariants in one (two)-dimensional system. We also…

Applied Physics · Physics 2024-10-29 Wen-Cheng Jiang , Hong Wu , Jian Li , Qing-Xu Li , Jia-Ji Zhu

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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