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The formation of two-band nodal points in gapless topological phases, referred to as conventional Weyl nodes, relies solely on translational symmetry. However, when coupled with other spatial and spatio-temporal symmetries, unconventional…

Materials Science · Physics 2025-05-12 Siyu Chen , Robert-Jan Slager , Bartomeu Monserrat , Adrien Bouhon

Weyl fermions, which are fermions with definite chiralities, can give rise to anomalous breaking of the symmetry of the physical system which they are a part of. In their (3+1)-dimensional realizations in condensed matter systems, i.e., the…

Mesoscale and Nanoscale Physics · Physics 2014-10-17 Jimmy A. Hutasoit , Jiadong Zang , Radu Roiban , Chao-Xing Liu

We show that compounds in a family that possess time-reversal symmetry and share a non-centrosymmetric cubic structure with the space group F-43m (No. 216) host robust ideal Weyl semi-metal fermions with desirable topologically protected…

Materials Science · Physics 2017-09-13 R. Wang , J. Z. Zhao , Y. J. Jin , W. P. Xu , L. -Y. Gan , X. Z. Wu , H. Xu , S. Y. Tong

We report on exotic response properties in 3D time-reversal invariant Weyl semimetals with mirror symmetry. Despite having a vanishing anomalous Hall coefficient, we find that the momentum-space quadrupole moment formed by four Weyl nodes…

Mesoscale and Nanoscale Physics · Physics 2021-02-19 Oleg Dubinkin , F. J. Burnell , Taylor L. Hughes

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

We propose a theoretical scheme to realize two-dimensional higher-order Weyl semimetals using a trilayer topological insulator film coupled with a d-wave altermagnet. Our results show that the trilayer topological insulator exhibits…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Lizhou Liu , Qing-Feng Sun , Ying-Tao Zhang

The peculiar band structure of semimetals exhibiting Dirac and Weyl crossings can lead to spectacular electronic properties such as large mobilities accompanied by extremely high magnetoresistance. In particular, two closely neighbouring…

We present a theory of the anomalous Hall effect in a topological Weyl superconductor with broken time reversal symmetry. Specifically, we consider a ferromagnetic Weyl metal with two Weyl nodes of opposite chirality near the Fermi energy.…

Superconductivity · Physics 2016-08-24 G. Bednik , A. A. Zyuzin , A. A. Burkov

We study the stability of gap-closing (Weyl or Dirac) points in the three-dimensional Brillouin zone of semimetals using Clifford algebras and their representation theory. We show that a pair of Weyl points with $\mathbb{Z}_2$ topological…

Mesoscale and Nanoscale Physics · Physics 2014-06-26 Takahiro Morimoto , Akira Furusaki

Weyl semimetals are a three dimensional topological phase of matter with linearly dispersed Weyl points which appear in pairs and carry opposite chirality. The separation of paired Weyl points allows charge transfer between them in the…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 Salah Uddin , Wenye Duan , Jun Wang , Zhongshui Ma , Jun-Feng Liu

Weyl semimetals are 3D condensed matter systems characterized by a degenerate Fermi surface, consisting of a pair of `Weyl nodes'. Correspondingly, in the infrared limit, these systems behave effectively as Weyl fermions in $3+1$…

Strongly Correlated Electrons · Physics 2020-11-10 A. Giuliani , V. Mastropietro , M. Porta

We propose a way to observe the chiral magnetic effect in non-centrosymmetric Weyl semimetals under the action of strong electric field, via the non-linear part of their I-V characteristic that is odd in the external magnetic field, or…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 S. Nandy , D. A. Pesin

We present a theoretical model to study the nonlinear optical response of materials with a low-energy spectrum characterised by strongly tilted, type-II, Weyl cones in two dimensions, which we call 2D Weyl materials. Our findings reveal…

We theoretically propose that giant magnetochiral anisotropy is achieved in Weyl semimetals in noncentrosymmetric crystals as a consequence of the chiral anomaly. The magnetochiral anisotropy is the nonlinearity of the resistivity $\rho$…

Mesoscale and Nanoscale Physics · Physics 2016-10-04 Takahiro Morimoto , Naoto Nagaosa

Two-dimensional pentagonal structures based on the Cairo tiling are the basis of a family of layered materials with appealing physical properties. In this work we present a theoretical study of the symmetry-based electronic and optical…

Materials Science · Physics 2023-05-09 Sergio Bravo , M. Pacheco , V. Nunez , J. D. Correa , Leonor Chico

Weyl semimetals are well-known for hosting topologically protected linear band crossings, serving as the analog of the relativistic Weyl Fermions in the condensed matter context. Such analogy persists deeply, allowing the existence of the…

Mesoscale and Nanoscale Physics · Physics 2024-02-15 Yang Gao

Ideal Weyl semimetals with all Weyl nodes exactly at the Fermi level and no coexisting trivial Fermi surfaces in the bulk, similar to graphene, could feature deep physics such as exotic transport phenomena induced by the chiral anomaly.…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 Jiawei Ruan , Shao-Kai Jian , Hong Yao , Haijun Zhang , Shou-Cheng Zhang , Dingyu Xing

Materials containing multiple topological characteristics become more exotic when combined with noncentrosymmetric crystal structures and unusual magnetic phases such as the compensated half-metal state, which is gapped in one spin…

Materials Science · Physics 2019-02-26 Hyo-Sun Jin , Young-Joon Song , W. E. Pickett , K. -W. Lee

In this letter, we present the first experimental study of a new chiral metamaterial consisting of toroidal wire windings. We show that the metamaterial exhibits three bands of circular dichroism in the GHz range. We discuss the response of…

We propose a different route to time-reversal invariant Weyl semimetals employing multilayer heterostructures comprising ordinary "trivial" insulators and nontrivial insulators with \textit{pairs} of protected Dirac cones on the surface. We…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Alexander Lau , Carmine Ortix