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We present an asymptotically exact solution of a paradigmatic non-Hermitian model: the disordered interacting fermionic Hatano-Nelson model, or equivalently, the non-Hermitian spin-1/2 XXZ model. We use a renormalization group method suited…

Strongly Correlated Electrons · Physics 2025-09-23 Valéria M. Mattiello , Victor L. Quito , Eduardo Miranda

The non-Hermitian skin effect can lead to directional amplification of response, with the associated end-to-end Green's function generally exhibiting size dependence. Any deviation in length or local disorder can drastically alter the…

Quantum Physics · Physics 2026-05-01 Kunling Zhou , Zihe Yang , Bowen Zeng , Yong Hu

The one-dimensional Hatano-Nelson model with non-reciprocal hoppings is a prominent example of a relatively simple non-Hermitian quantum-mechanical system, which allows to study various phenomena in open quantum systems without adding extra…

Strongly Correlated Electrons · Physics 2025-09-11 Eduard Naichuk , Ilya M. Eremin , Jeroen van den Brink , Flavio S. Nogueira

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

It was known that for non-Hermitian topological systems due to the non-Hermitian skin effect, the bulk-edge correspondence is broken down. In this paper, by using one-dimensional Su-SchriefferHeeger model and two-dimensional (deformed)…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Can Wang , Xiao-Ran Wang , Cui-Xian Guo , Su-Peng Kou

The non-Hermitian skin effect describes the phenomenon of exponential localization of single-particle eigenstates near the boundary of the system. We consider its generalization to the many-body regime by investigating a general class of…

Quantum Physics · Physics 2026-02-17 He-Ran Wang , Zijian Wang , Zhong Wang

Non-Hermitian systems have recently attracted broad interest and exhibited intriguing physical phenomena, in which the non-Hermitian skin effect is one of the most remarkable quantum phenomena desiring detailed investigations and has been…

Quantum Physics · Physics 2024-10-08 Mengjie Yang , Luojia Wang , Xiaoxiong Wu , Han Xiao , Danying Yu , Luqi Yuan , Xianfeng Chen

We demonstrate that Hermitian, nonlocal parametric pairing processes can induce non-Hermitian topology and skin modes, offering a simple alternative to complex bath engineering. Our model, stabilized by local dissipation and operating in…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Markus Bestler , Alexander Dikopoltsev , Oded Zilberberg

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

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

Non-Hermitian skin effect denotes the exponential localization of a large number of eigen-states in a non-Hermitian lattice under open boundary conditions. Such a non-Hermiticity-induced skin effect can offset the penetration depth of…

Optics · Physics 2021-11-17 Qinghui Yan , Hongsheng Chen , Yihao Yang

Non-Hermitian physics has emerged as a rapidly advancing field of research, revealing a range of novel phenomena and potential applications. Traditional non-Hermitian Hamiltonians are typically simulated by constructing asymmetric couplings…

Quantum Physics · Physics 2026-01-26 Huawei Zhao , Xinlei Liu , Xinyao Huang , Guofeng Zhang

Non-Abelian gauge offers a powerful route to engineer novel topological phenomena. Here, we systematically investigate a two-dimensional (2D) non-Hermitian Hatano-Nelson model incorporating SU(2) non-Abelian gauge, demonstrating the…

Other Condensed Matter · Physics 2025-06-23 Yiming Zhao , Yazhuang Miao , Yihang Xing , Tianhui Qiu , Hongyang Ma , Xiaolong Zhao

The non-Hermitian skin effect, by which the eigenstates of Hamiltonian are predominantly localized at the boundary, has revealed a strong sensitivity of non-Hermitian systems to the boundary condition. Here we experimentally observe a…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Lei Xiao , Wen-Tan Xue , Fei Song , Yu-Min Hu , Wei Yi , Zhong Wang , Peng Xue

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

The topology of non-Hermitian systems is fundamentally changed by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence. Based on the non-Bloch band theory, we get insight into the interplay between the…

Superconductivity · Physics 2024-03-28 Xaing Ji , Wenchen Ding , Yuanping Chen , Xiaosen Yang

We study the dynamics of a Bose-Hubbard model coupled to an engineered environment which in the non-interacting limit is described by the celebrated Hatano-Nelson model. At strong interactions, two bosons occupying the same site form a…

Quantum Physics · Physics 2024-08-27 Pietro Brighi , Andreas Nunnenkamp

It is well-known that the standard bulk-boundary correspondence does not hold for non-Hermitian systems in which also new phenomena such as exceptional points do occur. Here we study, mostly by analytical means, a paradigmatic…

Statistical Mechanics · Physics 2025-10-24 Yasamin Mardani , Rodrigo A. Pimenta , Jesko Sirker

Non-Hermitian skin effect (NHSE) is a unique feature studied extensively in non-interacting non-Hermitian systems. In this work, we extend the NHSE originally discovered in non-interacting systems to interacting many-body systems by…

Quantum Gases · Physics 2023-05-03 Liang Mao , Yajiang Hao , Lei Pan

The non-Hermitian skin effect is nonreciprocity-induced localization phenomena in which a macroscopic number of eigenstates accumulate anomalously at the boundary, accompanied by the extreme sensitivity to boundary conditions. Here, we…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Ken-Ichiro Imura , Kohei Kawabata
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