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Weyl points (WPs) are isolated degeneracies carrying quantized topological charges, and are therefore robust against Hermitian perturbations. WPs are predicted to spread to the Weyl exceptional rings (WERs) in the presence of…

Mesoscale and Nanoscale Physics · Physics 2022-10-03 Zheng-wei Li , Jing-jing Liu , Ze-Guo Chen , Weiyuan Tang , An Chen , Bin Liang , Guancong Ma , Jian-chun Cheng

Weyl semimetals are gapless three-dimensional topological materials where two bands touch at even number of points in the Brillouin zone. In this work we study a zincblende lattice model realizing a time-reversal invariant Weyl semimetal.…

Mesoscale and Nanoscale Physics · Physics 2013-07-10 Teemu Ojanen

Weyl fermions are two-component chiral fermions in (3+1)-dimensions. When coupled to a gauge field, the Weyl fermion is known to have an axial anomaly, which means the current conservation of the left-handed and right-handed Weyl fermions…

Strongly Correlated Electrons · Physics 2013-06-13 Chao-Xing Liu , Peng Ye , Xiao-Liang Qi

Ferromagnetic topological semimetals due to their band topology co-existing with intrinsic magnetization exerted important influences on early study of topological fermions. However, they have not been observed in experiments up to now. In…

Strongly Correlated Electrons · Physics 2018-06-06 R. Wang , Y. J. Jin , L. Duan , J. Z. Zhao , H. Xu , C. Q. Jin

Three-dimensional condensed matter incarnations of Weyl fermions generically have a tilted dispersion---in sharp contrast with their elusive high-energy relatives where a tilt is forbidden by Lorentz invariance, and with the low-energy…

Materials Science · Physics 2016-08-24 M. Udagawa , E. J. Bergholtz

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

Recently discovered Weyl semimetals (WSM) have found special place in topological condensed matter studies for they represent first example of massless Weyl fermions found in condensed matter systems. A WSM shows gapless bulk energy spectra…

Strongly Correlated Electrons · Physics 2021-02-23 Satyaki Kar , Arun M Jayannavar

We generalize the concept of three-dimensional topological Weyl semimetal to a class of five dimensional (5D) gapless solids, where Weyl points are generalized to Weyl surfaces which are two-dimensional closed manifolds in the momentum…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Biao Lian , Shou-Cheng Zhang

Using both an effective three-band model and {\it ab initio} calculations, we have investigated various topological features in the cubic ferromagnetic $5d^{1,2}$ systems showing large spin-orbit coupling (SOC): Ba$_2$NaOsO$_6$,…

Materials Science · Physics 2020-07-29 Young-Joon Song , K. -W. Lee

Topological semimetals are three dimensional materials with symmetry-protected massless bulk excitations. As a special case, Weyl nodal-line semimetals are realized in materials either having no inversion or broken time-reversal symmetry…

In this review we discuss a wide range of topological properties of electron quasiparticles in Dirac and Weyl semimetals. Their nontrivial topology is quantified by a monopole-like Berry curvature in the vicinity of Weyl nodes, as well as…

Mesoscale and Nanoscale Physics · Physics 2018-06-26 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

The study of the Weyl fermions and Kagome bands has recently attracted significant attention in condensed matter physics. However, realizing of perfect Weyl semimetals and double Kagome bands remains challenging. Here, we report a new class…

Materials Science · Physics 2025-03-20 Yun-Yun Bai , Yan Gao , Weikang Wu , Yong Liu , Zhong-Yi Lu

Intuitively, the dispersion characteristics of Weyl nodes with opposite charges in single-pair charge-2 Weyl semimetals are the same, quadratic or linear. We theoretically predicted that single-pair hybrid charge-2 Weyl semimetals (the…

Materials Science · Physics 2023-01-20 P. Zhou , Y. Z. Hu , B. R. Pan , F. F. Huang , W. Q. Li , Z. S. Ma , L. Z. Sun

The emergent Weyl modes with the broken time-reversal symmetry or inversion symmetry provide large Berry curvature and chirality to carriers, offering the realistic platforms to explore topology of electrons in three-dimensional systems.…

Mesoscale and Nanoscale Physics · Physics 2025-12-10 Jingyuan Zhong , Jianfeng Wang , Ming Yang , Jie Liu , Zhizhen Ren , Anping Huang , Zhixiang Shi , Zengwei Zhu , Yan Shi , Weichang Hao , Jincheng Zhuang , Yi Du

Weyl semimetals (WSMs) are topological quantum states wherein the electronic bands linearly disperse around pairs of nodes, the Weyl points, of fixed (left or right) chirality. The recent discovery of WSM materials triggered an experimental…

Weyl nodes are topological objects in three-dimensional metals. Their topological property can be revealed by studying the high-field transport properties of a Weyl semimetal. While the energy of the lowest Landau band (LLB) of a…

We show that a heavy fermion superconductor UPt_3 is a topological Weyl superconductor with tunable Weyl nodes. Adopting a generic order parameter in the E_2u representation allowed by nonsymmorphic crystal symmetry, we clarify unusual gap…

Superconductivity · Physics 2016-11-23 Youichi Yanase

The Weyl semimetals represent a distinct category of topological materials wherein the low-energy excitations appear as the long-sought Weyl fermions. Exotic transport and optical properties are expected because of the chiral anomaly and…

Weyl nodes and Fermi arcs in type-II Weyl semimetals (WSMs) have led to lots of exotic transport phenomena. Recently, Mo$_{0.25}$W$_{0.75}$Te$_{2}$ has been established as a type-II WSM with Weyl points located near Fermi level, which…

Topological Weyl semimetals have been attracting broad interest. Recently, a new type of Weyl point with topological charge of $4$, termed as charge-4 Weyl point (C-4 WP), was proposed in spinless systems. Here, we show the minimum symmetry…

Materials Science · Physics 2021-08-18 Chaoxi Cui , Xiao-Ping Li , Da-Shuai Ma , Zhi-Ming Yu , Yugui Yao
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