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We report a peculiar tunneling phenomenon that occurs in lattices with nonreciprocal couplings. The nonreciprocity holds for an inner portion of the lattice, constituting a non-Hermitian interface between outer Hermitian sections. The…

介观与纳米尺度物理 · 物理学 2024-11-11 Sayan Jana , Lea Sirota

Systems with non-Hermitian skin effects are very sensitive to the imposed boundary conditions and lattice size, and thus an important question is whether non-Hermitian skin effects can survive when deviating from the open boundary…

量子物理 · 物理学 2021-09-15 Cui-Xian Guo , Chun-Hui Liu , Xiao-Ming Zhao , Yanxia Liu , Shu Chen

Nonhermitian systems provide new avenues to create topological defect states. An unresolved general question is how much the formation of these states depends on asymmetric backscattering, be it nonreciprocal as in the nonhermitian skin…

光学 · 物理学 2019-12-04 Martí Bosch , Simon Malzard , Martina Hentschel , Henning Schomerus

Distant boundaries in linear non-Hermitian lattices can dramatically change energy eigenvalues and corresponding eigenstates in a nonlocal way. This effect is known as non-Hermitian skin effect (NHSE). Combining non-Hermitian skin effect…

量子物理 · 物理学 2025-05-15 C. Yuce

It is generally believed that the non-Hermitian effect (NHSE), due to its non-reciprocal nature, creates barriers for the appearance of impurity bound states. In this paper, we find that in two and higher dimensions, the presence of…

介观与纳米尺度物理 · 物理学 2026-02-09 Ao Yang , Zixi Fang , Kai Zhang , Chen Fang

The non-Hermitian skin effect under open boundary conditions is widely believed to originate from the intrinsic spectral topology under periodic boundary conditions. If the eigenspectra under periodic boundary conditions have no spectral…

介观与纳米尺度物理 · 物理学 2023-11-23 Chun-Hui Liu , Haiping Hu , Shu Chen , Xiong-Jun Liu

Non-Hermitian systems possess exotic localization phenomena beyond their Hermitian counterparts, exhibiting massive accumulation of eigenstates at the system boundaries with different scaling behaviors. In this study, we investigate two…

量子物理 · 物理学 2026-03-16 Shu Long , Linhu Li

We analyze a correlated system in equilibrium with special emphasis on non-Hermitian topology inducing a skin effect. The pseudo-spectrum, computed by the real-space dynamical mean-field theory, elucidates that additional pseudo-eigenstates…

强关联电子 · 物理学 2021-03-31 Tsuneya Yoshida

The combination of non-Hermitian physics and strong correlations can give rise to new effects in open quantum many-body systems with balanced gain and loss. We propose a generalized Anderson impurity model that includes non-Hermitian…

强关联电子 · 物理学 2018-08-23 Jose A. S. Lourenco , Ronivon L. Eneias , Rodrigo G. Pereira

A fundamental tenet of quantum mechanics is that the energy spectrum of a quantum system shall remain stable against infinitesimally weak and spatially confined perturbations. In this article, we demonstrate that this principle of spectral…

介观与纳米尺度物理 · 物理学 2024-09-23 Chang Shu , Kai Zhang , Kai Sun

We propose a general framework that enables the exact mapping of continuous nonreciprocal 1D periodic systems to the Hatano-Nelson (HN) model. Our approach, based on the two-port transfer matrix, is broadband and is applicable across…

应用物理 · 物理学 2024-03-21 Anis Maddi , Yves Auregan , Guillaume Penelet , Vincent Pagneux , Vassos Achilleos

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…

无序系统与神经网络 · 物理学 2026-03-26 Jacopo Gliozzi , Federico Balducci , Taylor L. Hughes , Giuseppe De Tomasi

The non-Hermitian skin effect is an iconic phenomenon characterized by the aggregation of eigenstates near the system boundaries in non-Hermitian systems. While extensively studied in one dimension, understanding the skin effect and…

介观与纳米尺度物理 · 物理学 2025-01-20 Haiping Hu

We study the mechanism for realizing non-Hermitian skin effect (NHSE) via dissipative couplings, in which the left-right couplings have equal strengths but the phases do not satisfy the complex conjugation. Previous realizations of NHSE…

量子物理 · 物理学 2024-02-06 Xinyao Huang , Yaohua Li , Guo-Feng Zhang , Yong-Chun Liu

The interplay between non-Hermitian effects and topological insulators has become a frontier of research in non-Hermitian physics. However, the existence of a non-Hermitian skin effect for topological-protected edge states remains…

量子物理 · 物理学 2024-05-29 Xinran Ma , Kui Cao , Xiaoran Wang , Zheng Wei , Supeng Kou

We investigate the interplay of nonreciprocity and nonlinearity in a one-dimensional nonlinear Klein-Gordon chain of classical oscillators coupled by asymmetric springs, akin to a mechanical analogue of the Hatano-Nelson model with onsite…

斑图形成与孤子 · 物理学 2026-02-13 Bertin Many Manda

We show for generic quantum non-Hermitian tight-binding models that relaxation timescales of local observables are not controlled by the localization length $\xi_{\rm loc}$ associated with the non-Hermitian skin effect, contrary to popular…

量子物理 · 物理学 2023-08-29 Gideon Lee , Alexander McDonald , Aashish Clerk

The excitation properties of quantum many-body systems are encoded in their response functions. These functions define an associated response Hamiltonian, which is intrinsically non-Hermitian due to the dissipative nature of retarded…

介观与纳米尺度物理 · 物理学 2025-09-24 Zhesen Yang , Zihan Wang , Juntao Huang , Zijian Zheng , Jiangping Hu

We demonstrate that a correlated equilibrium $f$-electron system with time-reversal symmetry can exhibit a $\mathbb{Z}_2$ non-Hermitian skin effect of quasi-particles. In particular, we analyze a two-dimensional periodic Anderson model with…

强关联电子 · 物理学 2023-05-30 Shin Kaneshiro , Tsuneya Yoshida , Robert Peters

We study the time evolution processes of non-Hermitian systems under the open boundary condition and confirm that the dynamical skin effect exists in non-Hermitian systems analytically, and unveil the mechanism of its formation, which is…

量子物理 · 物理学 2023-02-09 Haoshu Li , Shaolong Wan