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A Dirac nodal-line phase, as a quantum state of topological materials, usually occur in three-dimensional or at least two-dimensional materials with sufficient symmetry operations that could protect the Dirac band crossings. Here, we report…

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…

Mesoscale and Nanoscale Physics · Physics 2025-07-18 Bing-Bing Luo , Ming-Jian Gao , Jun-Hong An

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…

Based on first-principles calculations and tight-binding model analysis, we propose that black phosphorus (BP) can host a three-dimensional topological node-line semimetal state under pressure when spin-orbit coupling (SOC) is ignored. A…

Materials Science · Physics 2016-11-04 Jianzhou Zhao , Rui Yu , Hongming Weng , Zhong Fang

Topological superconductors have become a subject of intense research due to their potential use for technical applications in device fabrication and quantum information. Besides fully gapped superconductors, unconventional superconductors…

Superconductivity · Physics 2015-05-26 Andreas P. Schnyder , P. M. R. Brydon

Topological metals and semimetals are new states of matter which attract great interest in current research. Here, based on first-principles calculations and symmetry analysis, we propose that the family of titanium-based compounds Ti3X…

Materials Science · Physics 2018-07-02 Xiaoming Zhang , Zhi-Ming Yu , Ziming Zhu , Weikang Wu , Shan-Shan Wang , Xian-Lei Sheng , Shengyuan A. Yang

Nodal-loop semimetals are materials in which the conduction and valence bands cross on a one-dimensional loop in the reciprocal space. For the nodal-loop character to manifest in physical properties, it is desired that the loop is close to…

Materials Science · Physics 2018-06-29 Si Li , Ying Liu , Botao Fu , Zhi-Ming Yu , Shengyuan A. Yang , Yugui Yao

Using ab initio calculations based on density-functional theory and effective model analysis, we propose that the trigonal YH3(Space Group: P-3c1) at ambient pressure is a node-line semimetal when spin-orbit coupling (SOC) is ignored. This…

Materials Science · Physics 2018-02-16 Dexi Shao , Tong Chen , Qinyan Gu , Zhaopeng Guo , Pengchao Lu , Jian Sun , Li Sheng , Dingyu Xing

Nodal-line semimetals with magnetic orders have been theoretically predicted and experimentally observed in only few compounds. We theoretically explore the electronic structure in bulk and boundary of such a magnetic nodal-line state by…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Yasufumi Araki , Jin Watanabe , Kentaro Nomura

Manipulating the spin degrees of freedom of electrons affords an excellent platform for exploring novel quantum states in condensed-matter physics and material science. Based on first-principles calculations and analysis of crystal…

Materials Science · Physics 2021-05-12 Run-Wu Zhang , Da-Shuai Ma , Jian-Min Zhang , Yugui Yao

In topological semimetals the Dirac points can form zero-dimensional and one-dimensional manifolds, as predicted for Dirac/Weyl semimetals and topological nodal line semimetals, respectively. Here, based on first-principles calculations, we…

The interplay between symmetry and topology led to the concept of symmetry-protected topological states, including all non-interacting and weakly interacting topological quantum states. Among them, recently proposed nodal line semimetal…

Materials Science · Physics 2025-03-05 Yongpan Li , Shifeng Qian , Cheng-Cheng Liu

Most topological insulators discovered today in spinful systems can be transformed from topological semimetals (TSMs) with vanishing bulk gap via introducing the spin-orbit coupling (SOC), which manifests the intrinsic links between the…

Nodal lines are one-dimensional topological features of semi-metal band structures along which two bands are degenerate as a result of non-accidental symmetry-protected crossings, and behave topologically as $k$-space vortices in the Berry…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Oliver Dowinton , Rodion Vladimirovich Belosludov , Mohammad Saeed Bahramy

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,…

The hourglass fermions in solid-state materials have been attracting significant interest recently. However, realistic two-dimensional (2D) materials with hourglass-shaped band structures are still very scarce. Here, through the…

Materials Science · Physics 2022-11-22 Xin-Yue Kang , Chunmei Zhang , Mingxing Chen , Si Li

We investigate the topological protection of surface states in Weyl and nodal-line semimetals by characterizing them as evanescent states when the band structure is extended to complex momenta. We find in this way a sequence of exceptional…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 J. Gonzalez , R. A. Molina

Topological semimetals are characterized by their intriguing Fermi surfaces (FSs) such as Weyl and Dirac points, or nodal FS, and their associated surface states. Among them, topological crystalline semimetals, in the presence of strong…

Strongly Correlated Electrons · Physics 2018-05-09 Jacob S. Gordon , Hae-Young Kee

Among different topological and related phases of condensed matter, nodal semimetals occupy a special place - the electronic band topology in these materials is related to three-dimensional bulk, rather than to surface, states. A great…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 A. V. Pronin , M. Dressel

The existence and topological classification of lower-dimensional Fermi surfaces is often tied to the crystal symmetries of the underlying lattice systems. Artificially engineered lattices, such as heterostructures and other superlattices,…

Mesoscale and Nanoscale Physics · Physics 2017-12-08 Jan Behrends , Jun-Won Rhim , Shang Liu , Adolfo G. Grushin , Jens H. Bardarson