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Nodal-line semimetals (NLSMs) contains Dirac/Weyl type band-crossing nodes extending into shapes of line, loop and chain in the reciprocal space, leading to novel band topology and transport responses. Robust NLSMs against spin-orbit…

Hopf-link semimetals exhibit exotic gapless band structures with fascinating topological properties, which have never been observed in nature. Here we demonstrate nodal lines with topological form of Hopf-link chains in artificial…

Quantum Physics · Physics 2018-05-23 Xinsheng Tan , Mengmeng Li , Danyu Li , Kunzhe Dai , Haifeng Yu , Yang Yu

Topological semimetals (TSMs) featuring symmetry-protected band degeneracies have attracted considerable attention due to their exotic quantum properties and potential applications. While nodal line (NL) and nodal surface (NS) semimetals…

Materials Science · Physics 2025-11-12 Xiao-jing Gao , Yanfeng Ge , Yan Gao

Among topological materials, nodal loop semimetals (NLSMs) are arguably the most topologically sophisticated, with their valence and conduction bands intersecting along arbitrarily intertwined nodes. But unlike the well-known topological…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 Ching Hua Lee , Han Hoe Yap , Tommy Tai , Gang Xu , Xiao Zhang , Jiangbin Gong

The unique properties of topological semimetals have strongly driven efforts to seek for new topological phases and related materials. Here, we identify a critical condition for the existence of linked nodal rings (LNRs) in symmorphic…

Materials Science · Physics 2018-03-30 Cheng Gong , Yuee Xie , Yuanping Chen , Heung-sik Kim , David Vanderbilt

Based on first-principles calculation and analysis of crystal symmetries, we propose a kind of hourglass-like nodal net (HNN) semimetal in centrosymmetric Ag2BiO3 that is constructed by two hourglass-like nodal chains (HNCs) at mutually…

Materials Science · Physics 2018-09-12 Botao Fu , Dashuai Ma , Xiaotong Fan , Cheng-Cheng Liu , Yugui Yao

We construct two-band topological semimetals in four dimensions using the unstable homotopy of maps from the three-torus $T^3$ (Brillouin zone of a 3D crystal) to the two-sphere $S^2$. Dubbed ``Hopf semimetals'', these gapless phases…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Bhandaru Phani Parasar , Vijay B. Shenoy

The distinct over-tilting of band crossings in topological semimetal generates the type-I and typeII classification of Dirac/Weyl and nodal-line fermions, accompanied by the exotic electronic and magnetic transport properties. In this work,…

Materials Science · Physics 2023-01-10 Hongbo Wu , Da-Shuai Ma , Botao Fu

Nonsymmorphic space group symmetries can generate exotic band-crossings in topological metals and semimetals. Here, based on symmetry analysis and first-principles calculations, we reveal rich band-crossing features in the existing layered…

Materials Science · Physics 2018-01-19 Si Li , Ying Liu , Shan-Shan Wang , Zhi-Ming Yu , Shan Guan , Xian-Lei Sheng , Yugui Yao , Shengyuan A. Yang

We review the recent, mainly theoretical, progress in the study of topological nodal line semimetals in three dimensions. In these semimetals, the conduction and the valence bands cross each other along a one-dimensional curve in the…

Mesoscale and Nanoscale Physics · Physics 2017-01-10 Chen Fang , Hongming Weng , Xi Dai , Zhong Fang

Owing to their chiral cubic structure, exotic multifold topological excitations have been predicted and recently observed in transition metal silicides like $\beta$-RhSi. Herein, we report that the topological character of RhSi is also…

We use relativistic ab-initio methods combined with model Hamiltonian approaches to analyze the normal-phase electronic and structural properties of the recently discovered WP superconductor. Remarkably, the outcomes of such study can be…

Superconductivity · Physics 2019-09-25 Giuseppe Cuono , Filomena Forte , Mario Cuoco , Rajibul Islam , Jianlin Luo , Canio Noce , Carmine Autieri

Nodal line semimetals have lately aroused much experimental and theoretical interest, with their gap closing along unconventional trajectories in the 3D Brillouin zone. These trajectories or nodal lines can close into loops and trace out…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Tommy Tai , Ching Hua Lee

Noncontractible loop states (NLSs) are recently realized topological entity in flatband lattices, arising typically from band touching at a point where a flat band intersects one or more dispersive bands. There exists also band touching…

Having been a ground for various topological fermionic phases, the family of ZrSiS-type 111 materials has been under experimental and theoretical investigations. Within this family of materials, the subfamily LnSbTe (Ln = lanthanide…

Knots and links are fascinating and intricate topological objects. Their influence spans from DNA and molecular chemistry to vortices in superfluid helium, defects in liquid crystals and cosmic strings in the early universe. Here, we find…

Mesoscale and Nanoscale Physics · Physics 2016-12-06 Dong-Ling Deng , Sheng-Tao Wang , Kai Sun , L. -M. Duan

Intense laser-driven nonlinear optical phenomena in two-dimensional (2D) nodal-line semimetals (NLS) exhibit complex mechanisms, particularly in the NbSi$_{x}$Te$_{2}$ material systems characterized by nonsymmorphic symmetry-protected band…

Optics · Physics 2025-08-25 Navdeep Rana , M. S. Mrudul , Amar Bharti , Sucharita Giri , Gopal Dixit

Owing to the natural compatibility with current semiconductor industry, silicon allotropes with diverse structural and electronic properties provide promising platforms for the next-generation Si-based devices. After screening 230…

Materials Science · Physics 2018-10-30 Zhifeng Liu , Hongli Xin , Li Fu , Yingqiao Liu , Tielei Song , Xin Cui , Guojun Zhao , Jijun Zhao

We predict a new family of two-dimensional (2D) rare earth monochalcogenide materials MX (M = Sc, Y; X = S, Se, Te). Based on first-principles calculations, we confirm their stability and systematically investigate their mechanical…

Materials Science · Physics 2020-08-26 Hao Guo , Jianzhou Zhao , Cong Chen , Si Li , Wentao Jiang , Xiaobao Tian , Shengyuan A. Yang

The realization of Hopf-link structure in the Brillouin zone is rather rare hindering the comprehensive exploration and understanding of such exotic nodal loop geometry. Here we first tabulate 141 space groups hosting Hopf-link structure…

Materials Science · Physics 2025-09-17 Houhao Wang , Licheng Zhang , Ruixi Pu , Xiangang Wan , Feng Tang