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Topological metals and semimetals (TMs) have recently drawn significant interest. These materials give rise to condensed matter realizations of many important concepts in high-energy physics, leading to wide-ranging protected properties in…

The discovery of Weyl semimetals represents a significant advance in topological band theory. They paradigmatically enlarged the classification of topological materials to gapless systems while simultaneously providing experimental evidence…

Mesoscale and Nanoscale Physics · Physics 2018-02-14 P. Rüßmann , A. P. Weber , F. Glott , N. Xu , M. Fanciulli , S. Muff , A. Magrez , P. Bugnon , H. Berger , M. Bode , J. H. Dil , S. Blügel , P. Mavropoulos , P. Sessi

Solids with topologically robust electronic states exhibit unusual electronic and optical transport properties that do not exist in other materials. A particularly interesting example is chiral charge pumping, the so-called chiral anomaly,…

Recent experiments have revealed spectacular transport properties of conceptually simple semimetals. For example, normal semimetals (e.g. WTe$_2$) have started a new trend to realize a large magnetoresistance, which is the change of…

Topological insulators and topological semimetals are both new classes of quantum materials, which are characterized by surface states induced by the topology of the bulk band structure. Topological Dirac or Weyl semimetals show linear…

Materials Science · Physics 2017-06-21 Binghai Yan , Claudia Felser

We present a field theoretical model of anomalous transport in Weyl semi-metals. We calculate the Chiral Magnetic and Chiral Vortical Effect in the electric, axial (valley) and energy current. Our findings coincide with the results of a…

High Energy Physics - Theory · Physics 2014-02-26 Karl Landsteiner

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological electromagnetic responses including the…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Hassan Shapourian , Taylor L. Hughes

Weyl semimetals are phases of matter with gapless electronic excitations that are protected by topology and symmetry. Their properties depend on the dimensions of the systems. It has been theoretically demonstrated that five-dimensional…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Xingen Zheng , Tian Chen , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

Physicists have discovered a novel topological semimetal, the Weyl semimetal, whose surface features a non-closed Fermi surface while the low energy quasiparticles in the bulk emerge as Weyl fermions. Here they share a brief review of the…

Mesoscale and Nanoscale Physics · Physics 2016-12-08 Shuang Jia , Su-Yang Xu , M. Zahid Hasan

Weyl fermions are massless chiral quasiparticles existing in materials known as Weyl semimetals. Topological surface states, associated with the unusual electronic structure in the Weyl semimetals, have been recently demonstrated in linear…

Optics · Physics 2018-04-18 Ce Shang , Yuanlin Zheng , Boris A. Malomed

Weyl semimetals (WSMs), a new type of topological condensed matter, are currently attracting great interest due to their unusual electronic states and intriguing transport properties such as chiral anomaly induced negative…

Mesoscale and Nanoscale Physics · Physics 2018-02-23 Giacomo Resta , Shu-Ting Pi , Xiangang Wan , Sergey Y. Savrasov

We show that Weyl semimetals exhibit a mixed axial-torsional anomaly in the presence of axial torsion, a concept exclusive of these materials with no known natural fundamental interpretation in terms of the geometry of spacetime. This…

Mesoscale and Nanoscale Physics · Physics 2019-02-13 Yago Ferreiros , Yaron Kedem , Emil J. Bergholtz , Jens H. Bardarson

Three-dimensional (3D) topological Weyl semimetals (TWSs) represent a novel state of quantum matter with unusual electronic structures that resemble both a "3D graphene" and a topological insulator by possessing pairs of Weyl points…

Higher-order topology yields intriguing multidimensional topological phenomena, while Weyl semimetals have unconventional properties such as chiral anomaly. However, so far, Weyl physics remain disconnected with higher-order topology. Here,…

Materials Science · Physics 2020-10-07 Hai-Xiao Wang , Zhi-Kang Lin , Bin Jiang , Guang-Yu Guo , Jian-Hua Jiang

Magnetic topological materials, which combine magnetism and topology, are expected to host emerging topological states and exotic quantum phenomena. In this study, with the aid of greatly enhanced coercive fields in high-quality nanoflakes…

Materials Science · Physics 2021-06-08 Qingqi Zeng , Gangxu Gu , Gang Shi , Jianlei Shen , Bei Ding , Shu Zhang , Xuekui Xi , Claudia Felser , Yongqing Li , Enke Liu

Chiral anomalies give rise to dissipationless transport phenomena such as the chiral magnetic and vortical effects. In these notes I review the theory from a quantum field theoretic, hydrodynamic and holographic perspective. A physical…

High Energy Physics - Theory · Physics 2017-05-01 Karl Landsteiner

Weyl semimetals, with their unique electronic band structure, have drawn significant interest for their potential to explore quantum anomalies in condensed matter systems. In this study, we investigate the large positive magneto-thermal…

Following the intense studies on topological insulators, significant efforts have recently been devoted to the search for gapless topological systems. These materials not only broaden the topological classification of matter but also…

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 demonstrate that in an ideal Weyl semimetal, in which the Fermi energy coincides with the band-touching nodes, weak direct inter-nodal scattering is irrelevant and, as a result, the chiral charge is (almost) exactly conserved. This leads…

Mesoscale and Nanoscale Physics · Physics 2025-12-25 A. A. Burkov