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Topological nodal-line semimetals are characterized by the line-contact bulk band crossings and the topological surface states. Breaking certain protecting symmetry turns this system into a Dirac semimetal or Weyl semimetal that hosts…

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 semimetals are a frontier of quantum materials. In multi-band electronic systems, topological band-crossings can form closed curves, known as nodal lines. In the presence of spin-orbit coupling and/or symmetry-breaking…

Materials Science · Physics 2022-07-22 Tiantian Zhang , T. Yilmaz , E. Vescovo , H. X. Li , R. G. Moore , H. N. Lee , H. Miao , S. Murakami , M. A. McGuire

Topological semimetals is a new class of condensed matter systems with nontrivial electronic structure topology. Their unusual observable properties may often be understood in terms of quantum anomalies. In particular, Weyl and Dirac…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 A. A. Burkov

Dirac nodal-line semimetals with the linear bands crossing along a line or loop, represent a new topological state of matter. Here, by carrying out magnetotransport measurements and performing first-principle calculations, we demonstrate…

Based on first-principles calculations and effective model analysis, a Dirac nodal-net semimetal state is recognized in AlB$_2$-type TiB$_2$ and ZrB$_2$ when spin-orbit coupling (SOC) is ignored. Taking TiB$_2$ as an example, there are…

Materials Science · Physics 2018-01-31 Xing Feng , Changming Yue , Zhida Song , QuanSheng Wu , Bin Wen

It is generally believed that there is a correspondence between the topological charge of nodal points or lines and the presence of Fermi arcs. Using a $\mathcal{P}\mathcal{T}$-invariant system as an example, we demonstrate that this…

Mesoscale and Nanoscale Physics · Physics 2025-04-25 Xue-Min Yang , Jiang-Shan Chen , Ying Chen , Yu-Hang Qin , Hong Wu

Topological nodal-line semimetals are characterized by one-dimensional Dirac nodal rings that are protected by the combined symmetry of inversion $\mathcal{P}$ and time-reversal $\mathcal{T}$. The stability of these Dirac rings is…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 W. B. Rui , Y. X. Zhao , Andreas P. Schnyder

The class of topological semimetals comprises a large pool of compounds. Together they provide a wide platform to realize exotic quasiparticles for example Dirac, nodal line Dirac and Weyl fermions. In this letter, we report the Berry…

Materials Science · Physics 2017-04-05 Nitesh Kumar , Kaustuv Manna , Yanpeng Qi , Shu-Chun Wu , Lei Wang , Binghai Yan , Claudia Felser , Chandra Shekhar

Based on first-principles calculations and an effective Hamiltonian analysis, we systematically investigate the electronic and topological properties of alkaline-earth compounds $AX_2$ ($A$=Ca, Sr, Ba; $X$=Si, Ge, Sn). Taking BaSn$_2$ as an…

Materials Science · Physics 2016-06-01 Huaqing Huang , Jianpeng Liu , David Vanderbilt , Wenhui Duan

Lithium, a prototypical simple metal under ambient conditions, has a surprisingly rich phase diagram under pressure, taking up several structures with reduced symmetry, low coordination numbers, and even semiconducting character with…

Materials Science · Physics 2019-04-26 Stephanie A. Mack , Sinéad M. Griffin , Jeffrey B. Neaton

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)…

Strongly Correlated Electrons · Physics 2016-04-22 Yige Chen , Heung-Sik Kim , Hae-Young Kee

Coexistence of topological elements in a topological metal/semimetal (TM) has gradually attracted attentions. However, the non-topological factors always mess up the Fermi surface and cover interesting topological properties. Here, we find…

Computational Physics · Physics 2018-08-29 Jin Cai , Yuee Xie , Po-Yao Chang , Heung-Sik Kim , Yuanping Chen

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 Dirac semimetals with accidental band touching between conduction and valence bands protected by time reversal and inversion symmetry are at the frontier of modern condensed matter research. Theoretically one can get Weyl and/or…

Nodal-line semimetals are topological semimetals in which band touchings form nodal lines or rings. Around a loop that encloses a nodal line, an electron can accumulate a nontrivial $\pi$ Berry phase, so the phase shift in the Shubnikov-de…

Mesoscale and Nanoscale Physics · Physics 2018-04-10 Cequn Li , C. M. Wang , Bo Wan , Xiangang Wan , Hai-Zhou Lu , X. C. Xie

Topological nodal-line semimetals with exotic quantum properties are characterized by symmetry-protected line-contact bulk band crossings in the momentum space. However, in most of identified topological nodal-line compounds, these…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Y. K. Song , G. W. Wang , S. C. Li , W. L. Liu , X. L. Lu , Z. T. Liu , Z. J. Li , J. S. Wen , Z. P. Yin , Z. H. Liu , D. W. Shen

Beryllium is a simple alkali earth metal, but has been the target of intensive studies for decades because of its unusual electron behaviors at surfaces. Puzzling aspects include (i) severe deviations from the description of the nearly free…

Materials Science · Physics 2016-08-31 Ronghan Li , Xiyue Cheng , Hui Ma , Shoulong Wang , Dianzhong Li , Zhenyu Zhang , Yiyi Li , Xing-Qiu Chen

In a Dirac nodal line semimetal, the bulk conduction and valence bands touch at extended lines in the Brillouin zone. To date, most of the theoretically predicted and experimentally discovered nodal lines derive from the bulk bands of two-…

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…

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