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Using first-principles calculation and symmetry analysis, we propose that \theta-TaN is a topological semimetal having a new type of point nodes, i.e., triply degenerate nodal points. Each node is a band crossing between degenerate and…

Materials Science · Physics 2016-06-29 Hongming Weng , Chen Fang , Zhong Fang , Xi Dai

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…

We perform a complete classification of two-band $\bk\cdot\mathbf{p}$ theories at band crossing points in 3D semimetals with $n$-fold rotation symmetry and broken time-reversal symmetry. Using this classification, we show the existence of…

Mesoscale and Nanoscale Physics · Physics 2012-11-15 Chen Fang , Matthew J. Gilbert , Xi Dai , B. Andrei Bernevig

We present a study of "nodal semimetal" phases, in which non-degenerate conduction and valence bands touch at points (the "Weyl semimetal") or lines (the "line node semimetal") in three-dimensional momentum space. We discuss a general…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , M. D. Hook , Leon Balents

Weyl semimetals are examples of a new class of topological states of matter which are gapless in the bulk with protected surface states. Their low energy sector is characterized by massless chiral fermions which are robust against…

Strongly Correlated Electrons · Physics 2015-06-22 Michael Phillips , Vivek Aji

Topological semimetals, such as the Weyl and Dirac semimetals, represent one of the most active research fields in modern condensed matter physics. The peculiar physical properties of these systems mainly originate from their underlying…

Mesoscale and Nanoscale Physics · Physics 2024-05-09 Yu-Ping Lin , Giandomenico Palumbo

Topological metals and semimetals (TMs) have recently drawn significant interest. These materials give rise to condensed matter realizations of many important concepts in high-energy physics, leading to wide-ranging protected properties in…

Three-dimensional (3D) topological nodal points, such as Weyl and Dirac nodes have attracted wide-spread interest across multiple disciplines and diverse material systems. Unlike nodal points that contain little structural variations, nodal…

Materials Science · Physics 2018-05-04 Qinghui Yan , Rongjuan Liu , Zhongbo Yan , Boyuan Liu , Hongsheng Chen , Zhong Wang , Ling Lu

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…

Materials Science · Physics 2017-12-05 Mighfar Imam , Ranjan Kumar Barik , Rinkle Juneja , Ravindra Shinde , Abhishek K. Singh

Three-dimensional (3D) topological semimetals represent a new class of topological matters. The study of this family of materials has been at the frontiers of condensed matter physics, and many breakthroughs have been made. Several…

Materials Science · Physics 2019-10-03 Jin Hu , Su-Yang Xu , Ni Ni , Zhiqiang Mao

Topological nodal-line semimetals exhibit double or fourfold degenerate nodal lines, which are protected by symmetries. Here, we investigate the possibility of the existence of triply degenerate nodal lines in metals. We present two types…

Materials Science · Physics 2021-05-26 Zhihai Liu , Luyang Wang , Dao-Xin Yao

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…

Topological metals with protected band-crossing points have been attracting great interest. Here we report novel topological band features in a family of metal diboride materials. Using first- principles calculations, we show that these…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 Xiaoming Zhang , Zhi-Ming Yu , Xian-Lei Sheng , Hui Ying Yang , Shengyuan A. Yang

We study a class of topological materials which in their momentum-space band structure exhibit three-fold degeneracies known as triple points. Focusing specifically on $\mathcal{P}\mathcal{T}$-symmetric crystalline solids with negligible…

Mesoscale and Nanoscale Physics · Physics 2022-02-28 Patrick M. Lenggenhager , Xiaoxiong Liu , Stepan S. Tsirkin , Titus Neupert , Tomáš Bzdušek

In the search for stable topological semimetals with clean band profiles, we have screened all the 3$d$ metal-intercalated transition-metal dichalcogenides (3dI-TMDCs) by performing hybrid-functional-based ab initio calculations. Two…

Strongly Correlated Electrons · Physics 2019-10-08 Takeshi Inoshita , Motoaki Hirayama , Noriaki Hamada , Hideo Hosono , Shuichi Murakami

Using the density functional theoretical calculations, we report a new set of topological semimetals X$_{2}$YZ (X = \{Cu, Rh, Pd, Ag, Au, Hg\}, Y = \{Li, Na, Sc, Zn, Y, Zr, Hf, La, Pr, Pm, Sm, Tb, Dy, Ho, Tm\} and Z =\{Mg, Al, Zn, Ga, Y,…

Materials Science · Physics 2018-09-26 Ranjan Kumar Barik , Ravindra Shinde , Abhishek K. Singh

In this work we explore the effects of nonlinearity on three-dimensional topological phases. Of particular interest are the so-called Weyl semimetals, known for their Weyl nodes, i.e., point-like topological charges which always exist in…

Mesoscale and Nanoscale Physics · Physics 2022-11-17 Thomas Tuloup , Raditya Weda Bomantara , Jiangbin Gong

Topologically protected fermionic quasiparticles occur in metals with band degeneracy as a consequence of band structure topology. Here we unveil topological semimetal and metal phases in a variety of non-symmorphic collinear…

Strongly Correlated Electrons · Physics 2017-04-12 Wojciech Brzezicki , Mario Cuoco

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

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
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