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Solids built out of active components can exhibit non-reciprocal elastic coefficients that give rise to non-Hermitian wave phenomena. Here, we investigate non-Hermitian effects present at the boundary of two-dimensional active elastic media…

Soft Condensed Matter · Physics 2020-09-16 Colin Scheibner , William T. M. Irvine , Vincenzo Vitelli

Robust boundary states epitomize how deep physics can give rise to concrete experimental signatures with technological promise. Of late, much attention has focused on two distinct mechanisms for boundary robustness - topological protection,…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 Deyuan Zou , Tian Chen , Wenjing He , Jiacheng Bao , Ching Hua Lee , Houjun Sun , Xiangdong Zhang

Non-Hermitian rotation-time reversal (RT)-symmetric spin models possess two distinct phases, the unbroken phase in which the entire spectrum is real and the broken phase which contains complex eigenspectra, thereby indicating a transition…

We investigate the interplay between non-Hermitian skin effect (NHSE) and topological properties in two-dimensional topological superconductor. Two kinds of non-Hermiticity are considered. The first is the spin-independent non-reciprocal…

Superconductivity · Physics 2024-11-13 Hong Wang , Ming Lu , Jie Liu

Crystal symmetries play an essential role in band structures of non-Hermitian Hamiltonian. In this paper, we propose a non-Hermitian skin effect (NHSE) enforced by nonsymmorphic symmetries. We show that the NHSE inevitably occurs if a…

Mesoscale and Nanoscale Physics · Physics 2024-01-18 Yutaro Tanaka , Ryo Takahashi , Ryo Okugawa

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

Non-Hermiticity naturally breaks down the adiabaticity and thus leads to non-Abelian behaviors in multi-band systems. Here, we study how non-Abelian properties emerge in non-Hermitian systems by considering a multi-band non-Hermitian model…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Ziyu Zhou , Zhi-Cong Xu , Li-Jun Lang

We describe a diagrammatic technique for non-Hermitian fermionic systems that is applicable in the steady state, and which allows addressing correlations effects by systematic expansion. Applying this method to exceptional points or rings,…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Johan Carlström

In non-Hermitian systems, the phenomenon that the bulk-band eigenstates are accumulated at the boundaries of the systems under open boundary conditions is called non-Hermitian skin effect (NHSE), which is one of the most iconic and…

Quantum Physics · Physics 2022-10-06 Yi Peng , Jianwen Jie , Dapeng Yu , Yucheng Wang

Exotic singular objects, known as exceptional points, are ubiquitous in non-Hermitian physics. They might be spectral singularities in energy bands that produce anomalous effects and defectiveness. The quantum entanglement of a generic…

Quantum Physics · Physics 2023-04-19 Wei-Zhu Yi , Yong-Ju Hai , Rong Xiao , Wei-Qiang Chen

We study the characterization of the non-Hermitian skin effect (NHSE) in non-Hermitian systems with on-site disorder. We extend the application of generalized-Brillouin-zone (GBZ) theory to these systems. By proposing a modified GBZ theory,…

Disordered Systems and Neural Networks · Physics 2023-05-03 Hongfang Liu , Ming Lu , Zhi-Qiang Zhang , Hua Jiang

Strong, non-perturbative interactions often lead to new exciting physics, as epitomized by emergent anyons from the Fractional Quantum Hall effect. Within the actively investigated domain of non-Hermitian physics, we discover a new family…

Strongly Correlated Electrons · Physics 2022-09-29 Ruizhe Shen , Ching Hua Lee

We introduce a dissipative lattice gauge model that exhibits the many-body version of the non-Hermitian skin effect. The dissipative couplings between dynamical gauge fields on the lattice links and the surrounding environment generate…

Quantum Physics · Physics 2025-12-29 Yu-Min Hu , Zijian Wang , Biao Lian , Zhong Wang

A striking feature of non-Hermitian tight-binding Hamiltonians is the high sensitivity of both spectrum and eigenstates to boundary conditions. Indeed, if the spectrum under periodic boundary conditions is point gapped, by opening the…

Quantum Physics · Physics 2021-08-25 Federico Roccati

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

A discussion of the influence of boundaries and scalar field interactions in the non-perturbative dynamics of fermions in an external magnetic field, along with their possible applications to condensed matter and cosmology, is briefly…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vivian de la Incera

The non-Hermitian skin effect (NHSE), characterized by the accumulation of a macroscopic number of bulk states at system boundaries, is a hallmark of non-Hermitian physics. However, effective control of skin-mode localization in…

Disordered Systems and Neural Networks · Physics 2025-12-09 Zhao-Fan Cai , Yang Li , Yu-Ran Zhang , Xiaomin Wei , Zhongmin Yang , Tao Liu , Franco Nori

We consider the quasi Hermitian limit of a non-Hermitian extended Su Schrieffer Heeger model, in which the hopping amplitudes obey a specific relation so that the system may be mapped to a corresponding Hermitian one and its energy spectrum…

Quantum Physics · Physics 2023-08-23 Iao-Fai Io , Cheng-Yuan Huang , Jhih-Shih You , Hao-Chun Chang , Hsien-chung Kao

The topological spin-Hall effect causes different spins to propagate in opposite directions based on Hermitian physics. The non-Hermitian skin effect causes the localization of a large number of modes of a system at its edges. Here we…

Mesoscale and Nanoscale Physics · Physics 2022-01-27 S. Mandal , R. Banerjee , T. C. H. Liew

Non-Hermitian skin effect was observed in one-dimensional systems with short-range chiral interaction. Long-range chiral interaction mediated by traveling waves also favors the accumulation of energy, but has not yet showed non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Tao Yu , Bowen Zeng