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We study the one-dimensional non-Hermitian lattices with linearly varying nonreciprocal hopping, where the non-Hermitian skin effect (NHSE) is found to be dissolved gradually as the strength of nonreciprocity increases. The energy spectrum…

Quantum Physics · Physics 2024-03-27 Bo Hou , Han Xiao , Rong Lü , Qi-Bo Zeng

We propose a novel type of skin effects in non-Hermitian quantum many-body systems which we dub a non-Hermitian Mott skin effect. This phenomenon is induced by the interplay between strong correlations and the non-Hermitian point-gap…

Strongly Correlated Electrons · Physics 2024-08-16 Tsuneya Yoshida , Song-Bo Zhang , Titus Neupert , Norio Kawakami

Non-reciprocal systems have been shown to exhibit various interesting wave phenomena, such as the non-Hermitian skin effect, which causes accumulation of modes at boundaries. Recent research on discrete systems showed that this effect can…

Applied Physics · Physics 2025-07-24 Felix Langfeldt , Joe Tan , Sayan Jana , Lea Sirota

We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner by constructing an appropriate open quantum system. We focus on the quantum steady states of such…

Quantum Physics · Physics 2022-02-21 Alexander McDonald , Ryo Hanai , Aashish A. Clerk

Non-Hermiticity gives rise to distinctive topological phenomena absent in Hermitian systems. However, connection between such intrinsic non-Hermitian topology and Hermitian topology has remained largely elusive. Here, considering the bulk…

Mesoscale and Nanoscale Physics · Physics 2025-01-07 Shu Hamanaka , Tsuneya Yoshida , Kohei Kawabata

Nonreciprocal nonhermitian systems provide an unconventional localization mechanism of topological zero modes via the nonhermitian skin effect. While fundamental theoretical characterizations of this effect involve the biorthogonal system…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Henning Schomerus

The non-Hermitian skin effect (NHSE) refers to that an extensive number of eigenstates of a non-Hermitian system are localized in open boundaries. Here we predict a universal phenomenon that with local particle-hole(-like) symmetry (PHS)…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Zhi-Yuan Wang , Jian-Song Hong , Xiong-Jun Liu

While considering non-Hermitian Hamiltonians arising in the presence of dissipation, in most cases, the dissipation is taken to be frequency independent. However, this idealization may not always be applicable in experimental settings,…

Quantum Physics · Physics 2025-11-10 Sumit Kumar Jana , Ryo Hanai , Tan Van Vu , Hisao Hayakawa , Archak Purkayastha

We study the skin effect in a one-dimensional system of finitely many subwavelength resonators with a non-Hermitian imaginary gauge potential. Using Toeplitz matrix theory, we prove the condensation of bulk eigenmodes at one of the edges of…

Analysis of PDEs · Mathematics 2023-06-28 Habib Ammari , Silvio Barandun , Jinghao Cao , Bryn Davies , Erik Orvehed Hiltunen

Non-Hermiticity enables macroscopic accumulation of bulk states, named non-Hermitian skin effects. The non-Hermitian skin effects are well-established for single-particle systems, but their proper characterization for general systems is…

Quantum Physics · Physics 2024-10-01 Kenji Shimomura , Masatoshi Sato

The non-Hermitian skin effect can be realized through asymmetric hopping between forward and backward directions, where all the modes of the system are localized at one edge of a finite 1D lattice. However, achieving such an asymmetric…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Xingran Xu , Huawen Xu , S. Mandal , R. Banerjee , Sanjib Ghosh , T. C. H. Liew

Non-Hermitian skin effect (NHSE) in non-Hermitian lattice systems, associated with a point gap on the complex energy plane, has attracted great theoretical and experimental interest. Much less is studied on the so-called second-order…

Mesoscale and Nanoscale Physics · Physics 2022-08-17 Weiwei Zhu , Jiangbin Gong

Recent years have seen remarkable development in open quantum systems effectively described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological systems is the skin effect, anomalous localization of an extensive…

Statistical Mechanics · Physics 2023-04-14 Kohei Kawabata , Tokiro Numasawa , Shinsei Ryu

The traditional bulk-boundary correspondence assuring robust gapless modes at the edges and surfaces of insulating and nodal topological materials gets masked in non-Hermitian (NH) systems by the skin effect, manifesting an accumulation of…

Mesoscale and Nanoscale Physics · Physics 2022-07-14 Archisman Panigrahi , Roderich Moessner , Bitan Roy

The Hatano-Nelson model is a cornerstone of non-Hermitian physics, describing asymmetric hopping dynamics on a one-dimensional lattice, which gives rise to fascinating phenomena such as directional transport, non-Hermitian topology, and the…

Pattern Formation and Solitons · Physics 2025-12-01 Stefano Longhi

We identify anomalous scale-free localization and the associated impurity-induced loss bursts in a non-Hermitian dissipative cross-stitch lattice. By a local basis rotation, the model is mapped onto an effective non-Hermitian…

Quantum Physics · Physics 2026-05-21 Hui Liu , Zhihao Xu

In this work, we demonstrate the presence of an anomalous non-Hermitian skin effects which decay from both ends of a system consisting of two coupled Hermitian chains induced by non-reciprocal inter-chain cross-coupling. Another intriguing…

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…

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

The non-Hermitian skin effect (NHSE), an anomalous localization behavior of the bulk states, is an inherently non-Hermitian phenomenon, which can not find a counterpart in Hermitian systems. However, the fragility of NHSE has been revealed…

Quantum Physics · Physics 2024-07-30 Shuai Li , Min Liu , Yue Zhang , Rui Tian , Maksims Arzamasovs , Bo Liu

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
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