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Honeycomb structure has a natural extension to the three dimensions. Simple examples are hyperhoneycomb and stripy-honeycomb lattices, which are realized in $\beta $-Li$_{2}$IrO$_{3}$ and $\gamma $-Li$_{2}$IrO$_{3}$, respectively. We…

介观与纳米尺度物理 · 物理学 2016-03-29 Motohiko Ezawa

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

Recently, there has been a lot of activity in the research field of topological non-Hermitian physics, partly driven by fundamental interests and partly driven by applications in photonics. However, despite these activities, a general…

介观与纳米尺度物理 · 物理学 2019-06-26 W. B. Rui , Y. X. Zhao , Andreas P. Schnyder

We establish non-Hermitian topological mechanics in one dimensional (1D) and two dimensional (2D) lattices consisting of mass points connected by meta-beams that lead to odd elasticity. Extended from the "non-Hermitian skin effect" in 1D…

软凝聚态物质 · 物理学 2020-05-19 Di Zhou , Junyi Zhang

The current understanding of the role of topology in non-Hermitian (NH) systems and its far-reaching physical consequences observable in a range of dissipative settings are reviewed. In particular, how the paramount and genuinely NH concept…

介观与纳米尺度物理 · 物理学 2021-03-03 Emil J. Bergholtz , Jan Carl Budich , Flore K. Kunst

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

Spectral degeneracies (dubbed nodal points in momentum space) play fundamental roles in understanding exotic properties of light and matter. In lattice systems, unpaired band-structure degeneracies are subject to well-established no-go…

介观与纳米尺度物理 · 物理学 2026-03-30 Kunkun Wang , J. Lukas K. König , Kang Yang , Lei Xiao , Wei Yi , Emil J. Bergholtz , Peng Xue

Semimetals, in which conduction and valence bands touch but do not form Fermi surfaces, have attracted considerable interest for their anomalous properties starting with the discovery of Dirac matter in graphene and other two-dimensional…

强关联电子 · 物理学 2018-09-11 Dennis Wawrzik , David Lindner , Maria Hermanns , Simon Trebst

The complex energy bands of non-Hermitian systems braid in momentum space even in one dimension. Here, we reveal that the non-Hermitian braiding underlies the Hermitian topological physics with chiral symmetry under a general framework that…

介观与纳米尺度物理 · 物理学 2023-10-09 W. B. Rui , Y. X. Zhao , Z. D. Wang

Non-Hermitian topological phases, which exhibit unique features such as skin effect and exceptional points originated from nontrivial band topologies in complex plane, have attracted enormous attention in condensed-matter physics and…

介观与纳米尺度物理 · 物理学 2024-07-08 Yejian Hu , Jien Wu , Peidong Ye , Weiyin Deng , Jiuyang Lu , Xueqin Huang , Ziyu Wang , Manzhu Ke , Zhengyou Liu

Non-Hermitian matrices are ubiquitous in the description of nature ranging from classical dissipative systems, including optical, electrical, and mechanical metamaterials, to scattering of waves and open quantum many-body systems. Seminal…

介观与纳米尺度物理 · 物理学 2024-07-08 Kang Yang , Zhi Li , J. Lukas K. König , Lukas Rødland , Marcus Stålhammar , Emil J. Bergholtz

Featuring exotic quantum transport and surface states, topological semimetals can be classified into nodal-point, nodal-line, and nodal-surface semimetals according to the degeneracy and dimensionality of their nodes. However, a topological…

介观与纳米尺度物理 · 物理学 2025-07-18 Bing-Bing Luo , Ming-Jian Gao , Jun-Hong An

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

Non-Hermitian (NH) Hamiltonians have become an important asset for the effective description of various physical systems that are subject to dissipation. Motivated by recent experimental progress on realizing the NH counterparts of gapless…

介观与纳米尺度物理 · 物理学 2019-01-30 Jan Carl Budich , Johan Carlström , Flore K. Kunst , Emil J. Bergholtz

Non-Hermitian nodal knot metals (NKMs) contains intricate complex-valued energy bands gives rise to knotted exceptional loops and new topological surface states. We introduce a formalism that connects the algebraic, geometric, and…

介观与纳米尺度物理 · 物理学 2021-03-02 Xiao Zhang , Guangjie Li , Yuhan Liu , Tommy Tai , Ronny Thomale , Ching Hua Lee

Hydrodynamics is shown to induce non-Hermitian topological phenomena in ordinary, passive soft matter. This is demonstrated for the first time by subjecting a 2D elastic lattice to a low-Reynolds viscous flow. The interplay of hydrodynamics…

软凝聚态物质 · 物理学 2021-08-11 Tsvi Tlusty

Non-Hermitian lattices can host the non-Hermitian skin effect, a boundary-induced collapse of all bulk eigenstates into exponentially localized edge modes. This effect underlies anomalous bulk-boundary correspondence and remarkable…

光学 · 物理学 2026-05-19 Rohith Srikanth , Sashank Kaushik Sridhar , Avik Dutt

Observation of topological phases beyond two-dimension (2D) has been an open challenge for ultracold atoms. Here, we realize for the first time a 3D spin-orbit coupled nodal-line semimetal in an optical lattice and observe the bulk line…

量子气体 · 物理学 2019-08-01 Bo Song , Chengdong He , Sen Niu , Long Zhang , Zejian Ren , Xiong-Jun Liu , Gyu-Boong Jo

Non-Hermitian systems host band degeneracies that are fundamentally distinct from those in Hermitian systems, most notably exceptional points (EPs) where both eigenvalues and eigenvectors coalesce. In three dimensional (3D) non-Hermitian…

介观与纳米尺度物理 · 物理学 2026-03-12 Bin Jiang , Aolong Guo , Qilin Cai , Jian-Hua Jiang
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