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Non-Hermitian topological phase, with the novel concepts such as exceptional points and skin effect, has opened up a new paradigm beyond Hermitian topological physics. Exceptional ring semimetal, featured by a stable ring of exceptional…

介观与纳米尺度物理 · 物理学 2025-12-29 Yejian Hu , Zhenhang Pu , Xiangru Chen , Yuxiang Xi , Jiuyang Lu , Weiyin Deng , Manzhu Ke , Zhengyou Liu

Exceptional points and skin effect, as the two distinct hallmark features unique to the non-Hermitian physics, have each attracted enormous interests. Recent theoretical works reveal that the topologically nontrivial exceptional points can…

介观与纳米尺度物理 · 物理学 2023-08-01 Qiuyan Zhou , Jien Wu , Zhenhang Pu , Jiuyang Lu , Xueqin Huang , Weiyin Deng , Manzhu Ke , Zhengyou Liu

Symmetry and its representation play a crucial role in topological phases, including both Hermitian and non-Hermitian paradigms. In the presence of synthetic gauge field, spatial symmetries should be projectively represented, which can…

介观与纳米尺度物理 · 物理学 2026-01-13 Pengtao Lai , Xiangru Chen , Yugan Tang , Yejian Hu , Zhenhang Pu , Hui Liu , Weiyin Deng , Hua Cheng , Zhengyou Liu , Shuqi Chen

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…

介观与纳米尺度物理 · 物理学 2023-12-20 Junpeng Wu , Riyi Zheng , Jialuo Liang , Manzhu Ke , Jiuyang Lu , Weiyin Deng , Xueqin Huang , Zhengyou Liu

Recently, topological quantum states of non-Hermitian systems, exhibiting rich new exotic states, have attracted great attention in condensed-matter physics. As for the demonstration, most of non-Hermitian topological phenomena previously…

介观与纳米尺度物理 · 物理学 2019-02-15 Huaiqiang Wang , Jiawei Ruan , Haijun Zhang

We study a new class of non-Hermitian topological phases in three dimension in the absence of any symmetry, where the topological robust band degeneracies are Hopf-link exceptional lines. As a concrete example, we investigate the…

介观与纳米尺度物理 · 物理学 2019-12-17 Zhesen Yang , Jiangping Hu

Parity-time (PT)-symmetric Hamiltonians have widespread significance in non-Hermitian physics. A PT-symmetric Hamiltonian can exhibit distinct phases with either real or complex eigenspectrum, while the transition points in between, the…

量子物理 · 物理学 2021-07-13 Lei Xiao , Tianshu Deng , Kunkun Wang , Zhong Wang , Wei Yi , Peng Xue

The generic nature of band touching points in three-dimensional band structures is at heart of the rich phenomenology, topological stability and novel Fermi arc surface states associated with Weyl semimetals. Here we report on the…

介观与纳米尺度物理 · 物理学 2018-11-13 Johan Carlström , Emil J. Bergholtz

Energy bands of non-Hermitian crystalline systems are described in terms of the generalized Brillouin zone (GBZ) having unique features which are absent in Hermitian systems. In this paper, we show that in one-dimensional non-Hermitian…

介观与纳米尺度物理 · 物理学 2020-10-20 Kazuki Yokomizo , Shuichi Murakami

The complex eigenenergies and non-orthogonal eigenstates of non-Hermitian systems exhibit unique topological phenomena that cannot appear in Hermitian systems. Representative examples are the non-Hermitian skin effect and exceptional…

量子物理 · 物理学 2025-12-19 Jung-Wan Ryu , Jae-Ho Han , Chang-Hwan Yi , Hee Chul Park , Moon Jip Park

We study the emergence of non-Hermitian band topology in a two-dimensional metal with planar spiral magnetism due to a momentum-dependent relaxation rate. A sufficiently strong momentum dependence of the relaxation rate leads to exceptional…

强关联电子 · 物理学 2021-11-17 Johannes Mitscherling , Walter Metzner

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

Non-Hermitian skin effect, which is a unique feature of non-Hermitian systems, exhibits the formation of an extensive number of boundary modes under open boundary conditions. However, its manifestation in higher dimensions remains elusive.…

介观与纳米尺度物理 · 物理学 2026-03-27 Dipendu Halder , Srijata Lahiri , Saurabh Basu

Non-Hermitian skin-edge states emerge only at one edge in one-dimensional nonreciprocal chains, where all states are localized at the edge irrespective of eigenvalues. The bulk topological number is the winding number associated with the…

介观与纳米尺度物理 · 物理学 2019-05-10 Motohiko Ezawa

We numerically study topological effects of electromagnetic (EM) waves in a two-dimensional (2D) non-Hermitian photonic crystal (PhC) composed of lossy magneto-optical materials. In this system, not only the EM wavefunctions but also the…

光学 · 物理学 2026-04-28 Huyen Thanh Phan , Katsunori Wakabayashi

Hermitian theories play a major role in understanding the physics of most phenomena. It has been found only in the past decade that non-Hermiticity enables unprecedented effects such as exceptional points, spectral singularities and bulk…

应用物理 · 物理学 2021-10-04 Xiujuan Zhang , Yuan Tian , Jian-Hua Jiang , Ming-Hui Lu , Yan-Feng Chen

Non-Hermitian photonics provides a fertile platform for exploring phenomena with no Hermitian counterparts, including the non-Hermitian skin effect and exceptional points, with direct relevance for integrated photonic technologies. In this…

光学 · 物理学 2026-02-26 Xiaosen Yang , Yaru Feng , Abdul Wahab , Hao Geng

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

We present a study of complex energy braiding in a 1D non-Hermitian system with $n$th order long range asymmetrical coupling. Our work highlights the emergence of novel topological phenomena in such systems beyond the conventional…

In this work, we propose a theory on the two-dimensional non-Hermitian skin effect by resolving two representative minimal models. Specifically, we show that for any given non-Hermitian Hamiltonian, (i) the corresponding region covered by…

介观与纳米尺度物理 · 物理学 2024-01-17 Zeqi Xu , Bo Pang , Kai Zhang , Zhesen Yang
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