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In topological semimetals, the valence band and conduction band meet at zero-dimensional nodal points or one-dimensional nodal rings, which are protected by band topology and symmetries. In this Rapid Communication, we introduce "nodal-link…

强关联电子 · 物理学 2017-11-28 Zhongbo Yan , Ren Bi , Huitao Shen , Ling Lu , Shou-Cheng Zhang , Zhong Wang

Topological nodal-line semimetals are characterized by one-dimensional lines of band crossing in the Brillouin zone. In contrast to nodal points, nodal lines can be in topologically nontrivial configurations. In this paper, we study the…

强关联电子 · 物理学 2017-12-06 Ren Bi , Zhongbo Yan , Ling Lu , Zhong Wang

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…

介观与纳米尺度物理 · 物理学 2017-01-10 Chen Fang , Hongming Weng , Xi Dai , Zhong Fang

Topological semimetals in three dimensions display band-touchings at points (Weyl or Dirac semimetals) or nodal lines in the Brillouin zone. Weyl semimetals can occur with internal symmetries only (time-reversal ${\cal T}$, charge…

介观与纳米尺度物理 · 物理学 2023-12-01 Faruk Abdulla , Ganpathy Murthy , Ankur Das

We theoretically study three-dimensional topological semimetals (TSMs) with nodal lines protected by crystalline symmetries. Compared with TSMs with point nodes, e.g., Weyl semimetals and Dirac semimetals, where the conduction and the…

介观与纳米尺度物理 · 物理学 2015-08-19 Chen Fang , Yige Chen , Hae-Young Kee , Liang Fu

Topological nodal-line semimetals (NLSMs) are a new family of topological materials characterized by electronic band crossings that form lines in the Brillouin zone. These NLSMs host exotic nodal-line structures and exhibit distinct…

强关联电子 · 物理学 2025-10-30 Po-Yao Chang

Crystallographic symmetries enforcing band touchings (BTs) in the Brillouin zone (BZ) have been utilized to classify and predict the topological semimetals. Though the early proposed topological semimetals contain isolated nodal points in…

材料科学 · 物理学 2021-07-14 Lin Wu , Feng Tang , Xiangang Wan

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,…

材料科学 · 物理学 2023-01-10 Hongbo Wu , Da-Shuai Ma , Botao Fu

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…

介观与纳米尺度物理 · 物理学 2026-05-14 Bhandaru Phani Parasar , Vijay B. Shenoy

In topological semimetals such as Weyl, Dirac, and nodal-line semimetals, the band gap closes at points or along lines in k space which are not necessarily located at high-symmetry positions in the Brillouin zone. Therefore, it is not…

材料科学 · 物理学 2020-06-09 Motoaki Hirayama , Ryo Okugawa , Shuichi Murakami

The topological nodal-line semimetal state, serving as a fertile ground for various topological quantum phases, where a topological insulator, Dirac semimetal, or Weyl semimetal can be realized when the certain protecting symmetry is…

Topological nodal-line semimetals (TNLSMs) are characterized by symmetry-protected band crossings extending along one-dimensional lines in momentum space. The nodal lines exhibit a variety of possible configurations, such as nodal ring,…

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…

量子物理 · 物理学 2018-05-23 Xinsheng Tan , Mengmeng Li , Danyu Li , Kunzhe Dai , Haifeng Yu , Yang Yu

Numerous efforts have been devoted to reveal exotic semimetallic phases with topologically non-trivial bulk and/or surface states in materials with strong spin-orbit coupling. In particular, semimetals with nodal line Fermi surface (FS)…

强关联电子 · 物理学 2016-04-22 Yige Chen , Heung-Sik Kim , Hae-Young Kee

Nodal-line semimetals (NLSs) represent a new type of topological semimetallic beyond Weyl and Dirac semimetals in the sense that they host closed loops or open curves of band degeneracies in the Brillouin zone. Parallel to the…

We investigate two-dimensional trilayered quantum systems with multi-orbital conduction bands by focusing on the role played by the layer degree of freedom in setting the character of nodal line semimetals. The layer index can label the…

介观与纳米尺度物理 · 物理学 2019-07-24 F. Forte , D. Guerra , C. Noce , W. Brzezicki , M. Cuoco

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

Based on the first-principles study, we report a new set of topological semimetals (TiS, TiSe, TiTe, HfS, HfSe, HfTe and ZrS) which show the co-existence of a nodal-ring and triply-degenerate points. The two-fold degenerate one-dimensional…

材料科学 · 物理学 2017-12-05 Mighfar Imam , Ranjan Kumar Barik , Rinkle Juneja , Ravindra Shinde , Abhishek K. Singh

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…

材料科学 · 物理学 2018-10-30 Zhifeng Liu , Hongli Xin , Li Fu , Yingqiao Liu , Tielei Song , Xin Cui , Guojun Zhao , Jijun Zhao

In crystalline systems with a superstructure, the electron dispersion can form a nontrivial covering of the Brillouin zone. It is proved that the number of sheets in this covering and its monodromy are topological invariants under ambient…

其他凝聚态物理 · 物理学 2026-04-30 Yu. B. Kudasov
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