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In nature, $\alpha$-quartz crystals frequently form contact twins - two adjacent crystals with the same chemical structure but different crystallographic orientation, sharing a common lattice plane. As $\alpha$-quartz crystallises in a…

Materials Science · Physics 2023-07-03 Juan D. F. Pottecher , Gunnar F. Lange , Cameron Robey , Bartomeu Monserrat , Bo Peng

Weyl points are the simplest topologically-protected degeneracy in a three-dimensional dispersion relation. The realization of Weyl semimetals in photonic crystals has allowed these singularities and their consequences to be explored with…

Mesoscale and Nanoscale Physics · Physics 2020-11-23 R. L. Mc Guinness , P. R. Eastham

NbSi$_{2}$ crystallizes in the P6$_{2}$22 symmetry, featuring chiral chains of Si atoms. The absence of inversion symmetry, combined with its chiral structure, gives arise to unique physical properties. The breaking of inversion symmetry…

Materials Science · Physics 2025-08-05 Issam Mahraj , Andrzej Ptok

Quasiparticles with Weyl dispersion can display an abundance of novel topological, thermodynamic and transport phenomena, which is why novel Weyl materials and platforms for Weyl physics are being intensively looked for in electronic,…

Mesoscale and Nanoscale Physics · Physics 2023-11-01 Dmitry K. Efimkin , Sergey Syzranov

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

Weyl points and line nodes are three-dimensional linear point- and line-degeneracies between two bands. In contrast to Dirac points, which are their two-dimensional analogues, Weyl points are stable in the momentum space and the associated…

Mesoscale and Nanoscale Physics · Physics 2013-08-29 Ling Lu , Liang Fu , John D. Joannopoulos , Marin Soljačić

The topological metal states in electronic systems have been extensively studied, but topological phonons were explored only in few examples so far. Here, we expose for the first time that the topological nodal gimbal phonons, type-I and…

Materials Science · Physics 2021-05-04 Jing-Yang You , Xian-Lei Sheng , Gang Su

Weyl quasiparticles, as gapless low-energy excitations with nontrivial chirality, have garnered extensive interest in recent years. However, archieving effective and reversible control over their chirality (topological charge) remains a…

Materials Science · Physics 2025-11-19 Zeling Li , Yu liu , Le Du , Fengyu Li , Zhifeng Liu , Lei Li , Lei Wang , Botao Fu , Xiao-Ping Li

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

Recent studies on different topological materials in condensed matter physics have provided the evidence of topological nature for bosonic particle like phonons by performing various theoretical calculations and experimental observations.…

Materials Science · Physics 2022-05-10 Antik Sihi , Sudhir K. Pandey

Hourglass dispersion is generally believed to be solely protected by nonsymmorphic symmetries, because these symmetries can introduce high-dimensional projective representations. Here, based on symmetry arguments, we propose that the…

Materials Science · Physics 2021-08-11 Baobing Zheng , Fangyang Zhan , Xiaozhi Wu , Rui Wang , Jing Fan

Topological mechanics and phononics have recently emerged as an exciting field of study. Here we introduce and study generalizations of the three-dimensional pyrochlore lattice that have topologically protected edge states and Weyl lines in…

Soft Condensed Matter · Physics 2016-11-10 Olaf Stenull , C. L. Kane , T. C. Lubensky

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

Weyl semimetals have recently attracted extensive attention due to their anomalous band structure manifested by topological properties that lead to some unusual and unique physical properties. We investigate novel features of surface…

Mesoscale and Nanoscale Physics · Physics 2020-04-06 S. Oskoui Abdol , A. Soltani Vala , B. Abdollahipour

We systematically investigate the properties of bulk, surface and edge plasmons in Weyl semimetals in presence of a magnetic field. It is found that unidirectional plasmons with different properties exist on different surfaces, which is in…

Mesoscale and Nanoscale Physics · Physics 2021-12-08 Furu Zhang , Yang Gao , 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

The discovery of Weyl semimetals opens the door for searching topological semimetals in physical science. The Weyl points are generally recognized as conventional, quadratic, spin-1, and those of high topological charges. Here we report the…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Li Luo , Weiyin Deng , Yating Yang , Mou Yan , Jiuyang Lu , Xueqin Huang , Zhengyou Liu

Conventional Weyl nodes are twofold band crossings that carry a unit monopole charge, which can exist in condensed matter systems with the protection of translation symmetry. Unconventional Weyl nodes are twofold/multifold band crossings…

Materials Science · Physics 2020-09-29 Tiantian Zhang , Ryo Takahashi , Chen Fang , Shuichi Murakami

Based on first-principles calculations, we predict that the superconducting MgB$_2$ with a AlB$_2$-type centrosymmetric lattice host the so-called phononic topological Weyl nodal lines (PTWNLs) on its bulk phonon spectrum. These PTWNLs can…

Materials Science · Physics 2020-01-08 Qing Xie , Jiangxu Li , Min Liu , Lei Wang , Dianzhong Li , Yiyi Li , Xing-Qiu Chen

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