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Band structures of metamaterials described by a nonlinear eigenvalue problem are beyond the existing topological band theory. In this paper, we analyze non-Hermitian topology under the nonlinearity of eigenvalues. Specifically, we elucidate…

介观与纳米尺度物理 · 物理学 2025-02-19 Tsuneya Yoshida , Takuma Isobe , Yasuhiro Hatsugai

Non-Hermitian band topology can give rise to phenomena with no counterparts in Hermitian systems. A well-known example is the non-Hermitian skin effect (NHSE), where Bloch eigenstates localize at a boundary, induced by a nontrivial spectrum…

介观与纳米尺度物理 · 物理学 2025-08-28 Hong-Yu Zou , Bing-Bing Wang , Yong Ge , Ke-Qi Zhao , Yu-Qi Chen , Hong-Xiang Sun , Shou-Qi Yuan , Haoran Xue , Baile Zhang

The decay of a bound state weakly-coupled to a non-Hermitian tight-binding unstable continuum, i.e. a continuum of states comprising energies with positive imaginary part, is theoretically investigated. As compared to quantum decay in an…

量子物理 · 物理学 2016-08-03 Stefano Longhi

Recent studies of disorder or non-Hermiticity induced topological insulators inject new ingredients for engineering topological matter. Here we consider the effect of purely non-Hermitian disorders, a combination of these two ingredients,…

介观与纳米尺度物理 · 物理学 2022-12-12 Xi-Wang Luo , Chuanwei Zhang

We study the tunable quantum Hall effects in a non-Abelian honeycomb optical lattice which is a many-Dirac-points system. We find that the quantum Hall effects present different features as change as relative strengths of several…

强关联电子 · 物理学 2015-12-21 Ling Li , Ningning Hao , Guocai Liu , Zhiming Bai , Zai-Dong Li , Shu Chen , Wu-Ming Liu

Genuinely non-Hermitian topological phases can be realized in open systems with sufficiently strong gain and loss; in such phases, the Hamiltonian cannot be deformed into a gapped Hermitian Hamiltonian without energy bands touching each…

介观与纳米尺度物理 · 物理学 2021-06-02 Heinrich-Gregor Zirnstein , Gil Refael , Bernd Rosenow

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…

介观与纳米尺度物理 · 物理学 2025-01-07 Shu Hamanaka , Tsuneya Yoshida , Kohei Kawabata

Advances in topological photonics and non-Hermitian optics have drastically changed our perception on how interdisciplinary concepts may empower unprecedented applications. Bridging the two areas could uncover the reciprocity between…

Topological phases are greatly enriched by including non-Hermiticity. While most works focus on the topology of the eigenvalues and eigenstates, how topologically nontrivial non-Hermitian systems behave in dynamics has only drawn limited…

介观与纳米尺度物理 · 物理学 2023-08-16 Tian-Rui Liu , Kai Bai , Jia-Zheng Li , Liang Fang , Duanduan Wan , Meng Xiao

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…

介观与纳米尺度物理 · 物理学 2020-07-10 Nobuyuki Okuma , Masatoshi Sato

We investigate localization-delocalization transition in one-dimensional non-Hermitian quasiperiodic lattices with exponential short-range hopping, which possess parity-time ($\mathcal{PT}$) symmetry. The localization transition induced by…

无序系统与神经网络 · 物理学 2020-05-27 Yanxia Liu , Xiang-Ping Jiang , Junpeng Cao , Shu Chen

Non-Hermitian quasicrystals possess PT and metal-insulator transitions induced by gain and loss or nonreciprocal effects. In this work, we uncover the nature of localization transitions in a generalized Aubry-Andre-Harper model with…

无序系统与神经网络 · 物理学 2021-08-20 Longwen Zhou , Wenqian Han

Non-Hermitian systems give rise to distinct topological phenomena, yet their manifestations at temporal interfaces characterized by abrupt changes in system parameters remain largely unex plored. Upon an abrupt alteration of the Hamiltonian…

Starting from a Hermitian operator with two distinct eigenvalues, we construct a non-Hermitian bipartite system in Gaussian orthogonal ensemble according to random matrix theory, where we introduce the off-diagonal fluctuations through…

量子物理 · 物理学 2024-02-28 Chen-Huan Wu

In this study, we investigate the many-body non-Hermitian skin effect at finite temperatures in the thermodynamic limit. Our findings indicate an interesting correspondence between the non-Hermitian skin effect and a linear electric…

其他凝聚态物理 · 物理学 2023-11-07 Kui Cao , Qian Du , Su-Peng Kou

The bulk-boundary or bulk-edge correspondence is a principle relating surface confined states to the topological classification of the bulk. By combining non-Hermitian ingredients in terms of gain or loss with media that violate…

介观与纳米尺度物理 · 物理学 2020-11-18 Penglin Gao , Morten Willatzen , Johan Christensen

The non-Hermitian edge burst is a phenomenon observed in non-Hermitian quantum dynamics, characterized by a significant accumulation of loss at the boundaries of a system. We present an example of the edge burst effect in a lossy lattice…

量子物理 · 物理学 2025-06-11 G. Sen , C. Yuce

Topology is central to understanding and engineering materials that display robust physical phenomena immune to imperfections. Different topological phases of matter are characterised by topological invariants. In energy-conserving…

I show that a single embedded non-Hermitian defect in a one-dimensional topological system at certain degrees of non-Hermiticity can remove the topological mode from the edge and restore it inside the lattice at the same place where the…

量子物理 · 物理学 2022-07-26 Hamidreza Ramezani

Topological defects are central to modern physics, from spintronics to photonics, due to their robustness and potential application in information processing. In this work, we discuss topological point defects that spontaneously emerge at…

介观与纳米尺度物理 · 物理学 2025-09-19 Yow-Ming Robin Hu , Elena A. Ostrovskaya , Alexander Yakimenko , Eliezer Estrecho