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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…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Chen Fang , Yige Chen , Hae-Young Kee , Liang Fu

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

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…

Mesoscale and Nanoscale Physics · Physics 2023-12-01 Faruk Abdulla , Ganpathy Murthy , Ankur Das

Topological semimetals with symmetry-protected band crossings have emerged as a rich landscape to explore intriguing electronic phenomena. Nonsymmorphic symmetries in particular have been shown to play an important role in protecting the…

We propose a kind of novel topological quantum state of semimetals in a quasi-one-dimensional (1D) crystals BaMX$_3$ (M = V, Nb or Ta; X = S or Se) family by using symmetry analysis and first principles calculation. We find that in BaVS$_3$…

Mesoscale and Nanoscale Physics · Physics 2016-02-24 Qi-Feng Liang , Jian Zhou , Rui Yu , Zhi Wang , Hongming Weng

Topological nodal line semimetals are characterized by the crossing of the conduction and valence bands along one or more closed loops in the Brillouin zone. Usually, these loops are either isolated or touch each other at some highly…

Strongly Correlated Electrons · Physics 2017-07-12 Wei Chen , Hai-Zhou Lu , Jing-Min Hou

Based on first-principles calculations and effective model analysis, we propose that the WC-type HfC, in the absence of spin-orbit coupling (SOC), can host a three-dimensional nodal chain semimetal state. Distinguished from the previous…

Materials Science · Physics 2017-07-24 Rui Yu , Quansheng Wu , Zhong Fang , Hongming Weng

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

A nodal surface semimetal (NSSM) features symmetry enforced band crossings along a surface within the three-dimensional (3D) Brillouin zone (BZ) and a presence of a nonsymmorphic symmetry there pushes such surfaces to stick to the BZ center…

Mesoscale and Nanoscale Physics · Physics 2024-12-23 Bhaskar Pandit , Satyaki Kar

Topological semimetals have emerged as an important class of quantum materials with novel electronic responses and unconventional transport phenomena. Among them, nodal-line semimetals are distinguished by band crossings that extend along…

Materials Science · Physics 2026-05-11 Ashutosh S. Wadge , Pardeep K. Tanwar , Giuseppe Cuono , Carmine Autieri

Based on first-principles calculation and effective model analysis, we propose that the cubic antiperovskite material Cu$_3$PdN can host a three-dimensional (3D) topological nodal line semimetal state when spin-orbit coupling (SOC) is…

Materials Science · Physics 2015-07-21 Rui Yu , Hongming Weng , Zhong Fang , Xi Dai , Xiao Hu

It has been realized over the past two decades that topological nontriviality can be present not only in insulators but also in gapless semimetals, the most prominent example being Weyl semimetals in three dimensions. Key to topological…

Mesoscale and Nanoscale Physics · Physics 2024-01-09 Faruk Abdulla , Ganpathy Murthy , Ankur Das

The realization of Dirac and Weyl physics in solids has made topological materials one of the main focuses of condensed matter physics. Recently, the topic of topological nodal line semimetals, materials in which Dirac or Weyl-like…

Materials Science · Physics 2018-02-13 Shuo-Ying Yang , Hao Yang , Elena Derunova , Stuart S. P. Parkin , Binghai Yan , Mazhar N. Ali

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…

Strongly Correlated Electrons · Physics 2017-11-28 Zhongbo Yan , Ren Bi , Huitao Shen , Ling Lu , Shou-Cheng Zhang , Zhong Wang

The conventional k.p method fails to capture the full and essential physics of many symmetry enriched multiple nodal line structures in the three dimensional Brillouin zone. Here we present a new and systematical method to construct the…

Materials Science · Physics 2018-11-14 Da-Shuai Ma , Jianhui Zhou , Botao Fu , Zhi-Ming Yu , Cheng-Cheng Liu , Yugui Yao

Topological nodal-line semimetals (TNLSs) exhibit exotic physical phenomena due to a one-dimensional (1D) band touching line, rather than discrete (Dirac or Weyl) points. While so far proposed two-dimensional (2D) TNLSs possess closed nodal…

Nodal noncentrosymmetric superconductors have topologically nontrivial properties manifested by protected zero-energy surface states. Specifically, it was recently found that zero-energy surface flat bands of topological origin appear at…

Superconductivity · Physics 2012-01-13 Andreas P. Schnyder , P. M. R. Brydon , Carsten Timm

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…

Strongly Correlated Electrons · Physics 2025-10-30 Po-Yao Chang

Crystal symmetries can enforce all bands of a material to be topological, a property that is commonly referred to as ``supertopology". Here, we determine the symmetry-enforced $\mathbb{Z}_2$ supertopologies of non-magnetic centrosymmetric…

Materials Science · Physics 2025-04-02 Kirill Parshukov , Moritz M. Hirschmann , Andreas P. Schnyder

We classify all possible gap-closing procedures which can be achieved in two-dimensional time-reversal invariant noncentrosymmetric systems. For exhaustive classification, we examine the space group symmetries of all 49 layer groups lacking…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Sungjoon Park , Bohm-Jung Yang
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