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Using topological band theory analysis we show that the nonsymmorphic symmetry operations in hexagonal lattices enforce Weyl points at the screw-invariant high-symmetry lines of the band structure. The corepresentation theory and…

Materials Science · Physics 2021-01-15 Rafael González-Hernández , Erick Tuiran , Bernardo Uribe

Based on $ab$ $initio$ calculations and low-energy effective $k{\cdot}p$ model, we propose a type of Weyl nodal point-line fermion, composed of 0D Weyl points and 1D Weyl nodal line, in ferromagnetic material Eu$_5$Bi$_3$. In the absence of…

Materials Science · Physics 2019-09-13 Hongbo Wu , Da-Shuai Ma , Botao Fu , Wei Guo , Yugui Yao

Materials where the electronic bands have unusual topologies allow for the realization of novel physics and have a wide range of potential applications. When two electronic bands with linear dispersions intersect at a point, the excitations…

Strongly Correlated Electrons · Physics 2017-07-27 C. Y. Guo , C. Cao , M. Smidman , F. Wu , Y. J. Zhang , F. Steglich , F. C. Zhang , H. Q. Yuan

Recently, intense efforts have been devoted to realizing classical analogues of various topological phases of matter. In this Letter, we explore the intriguing Weyl physics by a simple one-dimensional sonic crystal, in which two extra…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Xiying Fan , Chunyin Qiu , Yuanyuan Shen , Hailong He , Meng Xiao , Manzhu Ke , Zhengyou Liu

The search for artificial structure with tunable topological properties is an interesting research direction of today's topological physics. Here, we introduce a scheme to realize `topological semimetal states' with a three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2018-09-11 Kaifa Luo , Rui Yu , Hongming Weng

The manifestation of Weyl fermions in strongly correlated electron systems is of particular interest. We report evidence for Weyl fermions in the heavy fermion semimetal YbPtBi from electronic structure calculations, angle-resolved…

Strongly Correlated Electrons · Physics 2018-11-07 C. Y. Guo , F. Wu , Z. Z. Wu , M. Smidman , C. Cao , A. Bostwick , C. Jozwiak , E. Rotenberg , Y. Liu , F. Steglich , H. Q. Yuan

Weyl fermion is a massless Dirac fermion with definite chirality, which has been long pursued since 1929. Though it has not been observed as a fundamental particle in nature, Weyl fermion can be realized as low-energy excitation around Weyl…

Superconductivity · Physics 2017-03-29 He Wang , Huichao Wang , Yuqin Chen , Jiawei Luo , Zhujun Yuan , Jun Liu , Yong Wang , Shuang Jia , Xiong-Jun Liu , Jian Wei , Jian Wang

We demonstrate a few unique dynamical properties of point-gap Weyl semimetal, an intrinsic non-Hermitian topological phase in three dimensions. We consider a concrete model where a pair of Weyl points reside on the imaginary axis of the…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Haiping Hu , Erhai Zhao , W. Vincent Liu

Topology and chirality of fermionic quasiparticles have enabled exciting discoveries, including quantum anomalous Hall liquids and topological superconductivity. Recently, topological and chiral phonons emerge as new and fast-evolving…

Materials Science · Physics 2025-04-16 Tiantian Zhang , Shuichi Murakami , Hu Miao

Weyl superconductors feature Weyl points at zero energy in the three-dimensional (3D) Brillouin zone and arc states that connect the projections of these Weyl points on the surface. We report that higher-order Weyl superconductors can be…

Mesoscale and Nanoscale Physics · Physics 2021-05-26 W. B. Rui , Song-Bo Zhang , Moritz M. Hirschmann , Andreas P. Schnyder , Björn Trauzettel , Z. D. Wang

Topological semimetals are some of the topological phases of matter most intensely-studied experimentally. The Weyl semimetal phase, in particular, has garned tremendous, sustained interest given fascinating signatures such as the Fermi arc…

Mesoscale and Nanoscale Physics · Physics 2025-04-01 Adipta Pal , Ashley M. Cook

The interplay of electronic band structures and electron-electron interactions is known to brew new phases in condensed matter. In this paper, we investigate thermodynamic phases and corresponding electronic structures of the Weyl semimetal…

Strongly Correlated Electrons · Physics 2016-09-22 Liang-Jun Zhai , Po-Hao Chou , Chung-Yu Mou

Helicons are transverse electromagnetic modes in three-dimensional (3D) electron systems in the presence of a static magnetic field. These modes have been proposed in isotropic or single Weyl semimetals(WSMs) (Francesco M.D. Pellegrino et…

Strongly Correlated Electrons · Physics 2025-07-04 Shiv Kumar Ram , Amit Gupta

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…

Weyl Semimetals (WSMs), a recently discovered topological state of matter, exhibit an electronic structure governed by linear band dispersions and degeneracy (Weyl) points leading to rich physical phenomena, which are yet to be exploited in…

Two-dimensional topological edge states, immunizing against defects and disorders, have greatly revolutionized our scientific cognition on propagation and scattering of acoustic waves. Recently, the similar states have been predicted in…

Materials Science · Physics 2018-03-13 Tingting Liu , Shengjie Zheng , Hongqing Dai , Dejie Yu , Baizhan Xia

Weyl semimetals host topologically protected surface states, with arced Fermi surface contours that are predicted to propagate through the bulk when their momentum matches that of the surface projections of the bulk's Weyl nodes. We use…

Mesoscale and Nanoscale Physics · Physics 2016-03-14 Hiroyuki Inoue , Andras Gyenis , Zhijun Wang , Jian Li , Seong Woo Oh , Shan Jiang , Ni Ni , B. Andrei Bernevig , Ali Yazdani

By using Wilsonian Renormalization Group (RG) methods we rigorously establish the existence of a Weyl semimetallic phase in an interacting three dimensional fermionic lattice system, by showing that the zero temperature Schwinger functions…

Mathematical Physics · Physics 2015-03-10 Vieri Mastropietro

Recognized as elementary particles in the standard model,Weyl fermions in condensed matter have received growing attention. However, most of the previously reportedWeyl semimetals exhibit rather complicated electronic structures that, in…

Materials Science · Physics 2017-10-12 Simin Nie , Gang Xu , Fritz B. Prinz , Shou-Cheng Zhang

Topological insulators, in contrast to ordinary semiconductors, accompany protected metallic surfaces described by Dirac-type fermions. Here, we theoretically show another emergent two-dimensional metal embedded in the bulk insulator is…

Strongly Correlated Electrons · Physics 2014-05-30 Youhei Yamaji , Masatoshi Imada
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