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The dispersion relations of magnons in ferromagnetic pyrochlores with Dzyaloshinskii-Moriya interaction is shown to possess Weyl points, i.\,e., pairs of topological nontrivial crossings of two magnon branches with opposite topological…

Computational Physics · Physics 2016-10-12 Alexander Mook , Jürgen Henk , Ingrid Mertig

A mechanical diamond, a classical mechanics of a spring-mass model arrayed on a diamond lattice, is discussed topologically. Its frequency dispersion possesses an intrinsic nodal structure in the three-dimensional Brillouin zone (BZ)…

Mesoscale and Nanoscale Physics · Physics 2018-01-22 Yuta Takahashi , Toshikaze Kariyado , Yasuhiro Hatsugai

Weyl semimetals (WSMs) are characterized by topologically stable pairs of nodal points in the band structure, that typically originate from splitting a degenerate Dirac point by breaking symmetries such as time reversal or inversion…

Strongly Correlated Electrons · Physics 2020-01-29 L. Crippa , A. Amaricci , N. Wagner , G. Sangiovanni , J. C. Budich , M. Capone

Weyl semimetals in three-dimensional crystals provide the paradigm example of topologically protected band nodes. It is usually taken for granted that a pair of colliding Weyl points annihilate whenever they carry opposite chiral charge. In…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Adrien Bouhon , QuanSheng Wu , Robert-Jan Slager , Hongming Weng , Oleg V. Yazyev , Tomáš Bzdušek

Hourglass-like band structures protected by nonsymmorphic space group symmetries can appear along high-symmetry lines or in high-symmetry surfaces in the Brillouin zone. In this work, from symmetry analysis, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Yijie Zeng , Luyang Wang , Dao-Xin Yao

Recent experimental realization of long sought Weyl fermions in non-magnetic crystals has greatly motivated condensed matter physicists to search for materials supporting Weyl fermions. Weyl fermions appear to be very promising for future…

Materials Science · Physics 2017-10-26 Sobhit Singh , A. C. Garcia-Castro , Irais Valencia-Jaime , Francisco Muñoz , Aldo H. Romero

In Weyl materials the valence and conduction electron bands touch at an even number of isolated points in the Brillouin zone. In the vicinity of these points the electron dispersion is linear and may be described by the massless Dirac…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Songci Li , A. V. Andreev

We study the impact of spin-orbit coupling on the topological band-properties of copper-substituted lead phosphate apatite using a combination of group-theoretical analysis and full-relativistic density-functional theory calculations. We…

Mesoscale and Nanoscale Physics · Physics 2023-10-17 Martin Braß , Liang Si , Karten Held

Weyl semimetals are arguably the most paradigmatic form of a gapless topological phase. While the stability of Weyl nodes, as quantified by their topological charge, has been extensively investigated, recent interest has shifted to the…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Siyu Chen , Adrien Bouhon , Robert-Jan Slager , Bartomeu Monserrat

Degeneracy points of parameter-dependent Hermitian matrices play a fundamental role in quantum physics, as illustrated by the concept of Berry phase in quantum dynamics, the Weyl semimetals in condensed-matter physics, and the robust…

Mesoscale and Nanoscale Physics · Physics 2023-02-17 Zoltán Guba , György Frank , Gergő Pintér , András Pályi

Magnetic Weyl semimetal (WSM) is of great importance both for fundamental physics and potential applications due to its spontaneous magnetism, robust band topology, and enhanced Berry curvature. It possesses many unique quantum effects,…

Materials Science · Physics 2022-09-15 Yuefang Hu , Changming Yue , Danwen Yuan , Jiacheng Gao , Zhigao Huang , Zhong Fang , Chen Fang , Hongming Weng , Wei Zhang

We show that Multiple Weyl and double Weyl points arise in a chiral elastic system through stacking many two-dimensional honeycomb mechanical structures. On the distinct kz plane, the band structures calculated from tight-binding model…

Mesoscale and Nanoscale Physics · Physics 2018-09-26 Yao-Ting Wang

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

We discover three-dimensional intertwined Weyl phases, by developing a theory to create topological phases. The theory is based on intertwining existing topological gapped and gapless phases protected by the same crystalline symmetry. The…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 W. B. Rui , Zhen Zheng , Moritz M. Hirschmann , Song-Bo Zhang , Chenjie Wang , Z. D. Wang

Band-touching Weyl points in Weyl semimetals give rise to many novel characteristics, one of which the presence of surface Fermi-arc states that is topologically protected. The number of such states can be computed by the Chern numbers at…

Strongly Correlated Electrons · Physics 2022-07-27 Hung-Hwa Lin , Wei-Ting Kuo , Daniel P. Arovas , Yi-Zhuang You

Weyl points emerge as topological monopoles of Berry flux in the three-dimensional (3D) momentum space and have been extensively studied in topological semimetals. As the underlying topological principles apply to any type of waves under…

Mesoscale and Nanoscale Physics · Physics 2018-07-25 Hao Ge , Xu Ni , Yuan Tian , Samit Kumar Gupta , Ming-Hui Lu , Xin Lin , Wei-Dong Huang , C. T. Chan , Yan-Feng Chen

Weyl fermions are shown to exist inside a parabolic band, where the kinetic energy of carriers is given by the non-relativistic Schroedinger equation. There are Fermi arcs as a direct consequence of the folding of a ring shaped Fermi…

Superconductivity · Physics 2017-10-11 Mauro M. Doria , Andrea Perali

Magnetic topological materials have recently drawn significant importance and interest, due to their topologically nontrivial electronic structure within spontaneous magnetic moments and band inversion. Based on first-principles…

Strongly Correlated Electrons · Physics 2018-07-20 R. Wang , Y. J. Jin , J. Z. Zhao , Z. J. Chen , Y. J. Zhao , H. Xu

In electronics systems, the Weyl points can be classified into three types based on the geometry of the Fermi surface, and each type exhibits various unique and intriguing phenomena. While the type-I and type-II Weyl points have been…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Xiao-Ping Li , Feng Li , Di Zhou , Ying Wu , Zhi-Ming Yu , Yugui Yao

In this work, we describe the phenomenon of Weyl-point teleportation. Weyl points usually move continuously in the configuration parameter space of a quantum system when the control parameters are varied continuously. However, there are…

Mesoscale and Nanoscale Physics · Physics 2022-08-08 György Frank , Dániel Varjas , Gergő Pintér , András Pályi
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