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Non-Hermiticity gives rise to unique topological phases without Hermitian analogs. However, the effective field theory has yet to be established. Here, we develop a field-theoretical description of the intrinsic non-Hermitian topological…

介观与纳米尺度物理 · 物理学 2021-06-01 Kohei Kawabata , Ken Shiozaki , Shinsei Ryu

The topological band theory predicts that bulk materials with nontrivial topological phases support topological edge states. This phenomenon is universal for various wave systems and has been widely observed for electromagnetic and acoustic…

介观与纳米尺度物理 · 物理学 2021-07-14 Hao Hu , Song Han , Yihao Yang , Dongjue Liu , Haoran Xue , Gui-Geng Liu , Zheyu Cheng , Qi Jie Wang , Shuang Zhang , Baile Zhang , Yu Luo

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

We theoretically investigate topological features of a one-dimensional Su-Schrieffer-Heeger lattice with modulating non-Hermitian on-site potentials containing four sublattices per unit cell. The lattice can be either commensurate or…

介观与纳米尺度物理 · 物理学 2024-06-18 Milad Jangjan , Linhu Li , Luis E. F. Foa Torres , Mir Vahid Hosseini

It is well known that non-Hermitian, non-reciprocal systems may harbor exponentially localized skin modes. However, in this work, we find that, generically, non-Hermiticity gives rise to abrupt and prominent kinks in the semi-classical wave…

量子气体 · 物理学 2024-05-30 Fang Qin , Ruizhe Shen , Linhu Li , Ching Hua Lee

Topological states of matter in non-Hermitian systems have attracted a lot of attention due to their intriguing dynamical and transport properties. In this study, we propose a periodically driven non-Hermitian lattice model in…

介观与纳米尺度物理 · 物理学 2018-11-28 Longwen Zhou , Jiangbin Gong

We investigate the dispersion topology of elastic lattices characterized by spatial stiffness modulation. The modulation is defined by the sampling of a two-dimensional surface, which provides the lattices with topological properties that…

介观与纳米尺度物理 · 物理学 2019-07-24 Matheus I. N. Rosa , Raj Kumar Pal , José R. F. Arruda , Massimo Ruzzene

Frames, or lattices consisting of mass points connected by rigid bonds or central force springs, are important model constructs that have applications in such diverse fields as structural engineering, architecture, and materials science.…

介观与纳米尺度物理 · 物理学 2015-06-16 C. L. Kane , T. C. Lubensky

Topological phases of matter are conventionally characterized by the bulk-boundary correspondence in Hermitian systems: The topological invariant of the bulk in $d$ dimensions corresponds to the number of $(d-1)$-dimensional boundary…

We show that one-dimensional quasi-periodic optical lattice systems can exhibit edge states and topological phases which are generally believed to appear in two-dimensional systems. When the Fermi energy lies in gaps, the Fermi system on…

量子气体 · 物理学 2012-08-02 Li-Jun Lang , Xiaoming Cai , Shu Chen

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…

量子物理 · 物理学 2024-10-08 Mengjie Yang , Luojia Wang , Xiaoxiong Wu , Han Xiao , Danying Yu , Luqi Yuan , Xianfeng Chen

Despite their apparent simplicity, coupled oscillators exhibit surprisingly complex phenomena. Two notable examples are Berry phase (a geometric or topological aspect of the oscillators' memory) and non-Hermiticity (the often…

经典物理 · 物理学 2026-03-05 J. R. Lane , C. Guria , J. Höller , T. D. Montalvo , Y. S. S. Patil , J. G. E. Harris

Exceptional points (EPs) in non-Hermitian systems are branch singularities where eigenvalues and eigenvectors simultaneously coalesce, leading to rich topological phenomena beyond those in Hermitian systems. In this work, we systematically…

光学 · 物理学 2025-09-12 Jung-Wan Ryu , Jae-Ho Han , Chang-Hwan Yi

Non-Hermitian systems can exhibit unique topological and localization properties. Here we elucidate the non-Hermitian effects on disordered topological systems by studying a non-Hermitian disordered Su-Schrieffer-Heeger model with…

量子物理 · 物理学 2020-04-15 Dan-Wei Zhang , Ling-Zhi Tang , Li-Jun Lang , Hui Yan , Shi-Liang Zhu

We investigate the emergence of unconventional corner mode in a two-dimensional topolectrical circuits induced by asymmetric couplings. The non-Hermitian skin effect of two kinked one-dimensional lattices with multiple asymmetric couplings…

介观与纳米尺度物理 · 物理学 2024-02-22 Hengxuan Jiang , Xiumei Wang , Jie Chen , Xingping Zhou

Exploring topological phases in non-Hermitian systems has attracted significant recent attention. One intriguing question is how topological edge states compete with the non-Hermitian skin effect. Here, we report the experimental…

介观与纳米尺度物理 · 物理学 2023-07-26 Chan Tang , Huanhuan Yang , Lingling Song , Xianglong Yao , Peng Yan , Yunshan Cao

Breaking Hermiticity in topological systems gives rise to intriguing phenomena, such as the exceptional topology and the non-Hermitian skin effect. In this work, we study a non-Hermitian topological crystalline insulator sitting on the…

介观与纳米尺度物理 · 物理学 2022-02-11 Qiu-Yue Xu , Feng Liu , Chui-Zhen Chen , Dong-Hui Xu

Non-Hermitian topology provides a research frontier for exploring topological phenomena, revealing novel topological effects and driving the development of emergent materials and platforms. Here, we explore the non-Hermitian Chern insulator…

光学 · 物理学 2024-11-13 Yi-Ling Zhang , Li-Wei Wang , Yang Liu , Zhao-Xian Chen , Jian-Hua Jiang

A flexible control of wave scattering in complex media is of relevance in different areas of classical and quantum physics. Recently, a great interest has been devoted to scattering engineering in non-Hermitian systems, with the prediction…

量子物理 · 物理学 2022-09-27 Stefano Longhi , Ermanno Pinotti

We present a general analysis of two-dimensional optical lattice models that give rise to topologically non-trivial insulating states. We identify the main ingredients of the lattice models that are responsible for the non-trivial…

量子气体 · 物理学 2010-07-13 Tudor D. Stanescu , Victor Galitski , S. Das Sarma