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A nodal-line semimetal is a topological gapless phase containing one-dimensional degeneracies called nodal lines. The nodal lines are deformed by a continuous change of the system such as pressure and they can even change their topology,…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Manabu Takeichi , Ryo Furuta , Shuichi Murakami

We reveal a class of three-dimensional $d$-orbital topological materials in the antifluorite Cu$_2$S family. Derived from the unique properties of low-energy $t_{2g}$ states, their phases are solely determined by the sign of spin-orbit…

Materials Science · Physics 2017-07-24 Xian-Lei Sheng , Zhi-Ming Yu , Rui Yu , Hongming Weng , Shengyuan A. Yang

Recently, the concept of topological insulators has been generalized to topological semimetals, including three-dimensional (3D) Weyl semimetals, 3D Dirac semimetals, and 3D node-line semimetals. In particular, several compounds (e.g.,…

Materials Science · Physics 2017-06-07 J. L. Lu , W. Luo , X. Y. Li , S. Q. Yang , J. X. Cao , X. G. Gong , H. J. Xiang

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

Nodal semimetals, materials systems with nodal-point or -line Fermi surfaces, are much sought after for their novel transport and topological properties. Identification of experimental materials candidates, however, has mainly relied on…

Materials Science · Physics 2017-11-06 Ru Chen , Hoi Chun Po , Jeffrey B. Neaton , Ashvin Vishwanath

The interplay between interactions and topology in quantum materials is of extensive current interest. Strong correlations are known to be important for insulating topological states, as exemplified by the fractional quantum Hall effect.…

Topological nodal-line semimetals are characterized by symmetry-protected one-dimensional band-touching lines or loops, which give rise to their peculiar Fermi surfaces at low energies. Furthermore, if time-reversal or inversion symmetry…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Hamid Rahimpoor , Saeed H. Abedinpour

The peculiar shape of the Fermi surface of topological nodal line semimetals at low carrier concentrations results in their unusual optical and transport properties. We analytically investigate the linear optical responses of three and…

Materials Science · Physics 2017-11-08 Shahin Barati , Saeed H. Abedinpour

Recent developments in topological semimetals open a way to realize relativistic dispersions in condensed matter systems. One recently studied type of topological feature is the "triple nodal point" where three bands become degenerate. In…

Materials Science · Physics 2018-10-17 Jinwoong Kim , Heung-Sik Kim , David Vanderbilt

We employ angle resolved photoemission spectroscopy (ARPES) to investigate the Fermi surface of RuO$_2$. We find a network of two Dirac nodal lines (DNL) as previously predicted in theory, where the valence- and conduction bands touch along…

Multiple line nodes in energy-band gaps are found in semimetals preserving mirror-reflection symmetry. We classify possible configurations of multiple line nodes with crossing points (crossing line nodes) under point-group symmetry. Taking…

Mesoscale and Nanoscale Physics · Physics 2017-06-23 Shingo Kobayashi , Youichi Yamakawa , Ai Yamakage , Takumi Inohara , Yoshihiko Okamoto , Yukio Tanaka

We perform a systematic study of the signatures of fragile topology in over 50 nonmagnetic two-dimensional materials with formula AB$_2$, belonging to space group $P$-$3m1$. Using group theory analysis in the framework of topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Olga Arroyo-Gascón , Sergio Bravo , Leonor Chico , Mónica Pacheco

Nodal lines, as one-dimensional band degeneracies in momentum space, usually feature a linear energy splitting. Here, we propose the concept of magnetic higher-order nodal lines, which are nodal lines with higher-order energy splitting and…

Mesoscale and Nanoscale Physics · Physics 2021-05-19 Zeying Zhang , Zhi-Ming Yu , Shengyuan A. Yang

The superconducting behavior of the topological semimetal CaSn$_{3}$ was investigated by means of magnetotransport and muon spectroscopy $\mu$SR measurements, both providing strong evidence of nematic behavior. Magnetotransport detects an…

In search of materials with three-dimensional flat band dispersions, using {\em ab-initio} computations, we investigate how topological phases evolve as a function of hydrostatic pressure and uniaxial strain in two types of superlattices:…

Using density functional theory based calculations, we show that the correlated mixed-valent compound SmO is a 3D strongly topological semi-metal as a result of a 4$f$-5$d$ band inversion at the X point. The [001] surface Bloch spectral…

Strongly Correlated Electrons · Physics 2015-05-20 Deepa Kasinathan , Klaus Koepernik , L. H. Tjeng , Maurits W. Haverkort

Two-dimensional (2D) topological insulators (TIs) have attracted tremendous research interest from both theoretical and experimental fields in recent years. However, it is much less investigated in realizing node line (NL) semimetals in 2D…

Materials Science · Physics 2018-04-02 Run-Wu Zhang , Cheng-Cheng Liu , Da-Shuai Ma , Yugui Yao

Semimetals exhibit intriguing characteristics attributed to the coexistence of both electrons and holes. In rhombohedral multilayer graphene, a strong trigonal warping effect gives rise to a semi-metallic state near the Fermi surface,…

Mesoscale and Nanoscale Physics · Physics 2026-02-24 Jing Ding , Hanxiao Xiang , Naitian Liu , Wenqiang Zhou , Xinjie Fang , Zhangyuan Chen , Le Zhang , Kenji Watanabe , Takashi Taniguchi , Shuigang Xu

Discovering and engineering spin-polarised surface states in the electronic structures of condensed matter systems is a crucial first step in development of spintronic devices, wherein spin-polarised bands crossing the Fermi level can…

The crystal symmetry of a material dictates the type of topological band structures it may host, and therefore symmetry is the guiding principle to find topological materials. Here we introduce an alternative guiding principle, which we…