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We study second harmonic generation in centrosymmetric Weyl semimetal with broken time reversal symmetry. We calculate electric current density at the double frequency of the propagating electromagnetic field in the presence of applied…

Mesoscale and Nanoscale Physics · Physics 2017-03-03 A. A. Zyuzin , A. Yu. Zyuzin

The planar Hall effect (PHE), the appearance of an in-plane transverse voltage in the presence of coplanar electric and magnetic fields, has been ascribed to the chiral anomaly and Berry curvature effects in Weyl semimetals. In the presence…

Mesoscale and Nanoscale Physics · Physics 2023-10-06 L. Medel Onofre , A. Martín-Ruiz

We discuss the type of the general macroscopic parity-violating effects, when there is the current along the vortex, which is concentrated in the vortex core. We consider vortices in superfluids, which contain the Weyl points. In the vortex…

Other Condensed Matter · Physics 2017-04-05 G. E. Volovik

Weyl semimetals (WSM) have been extensively studied due to their exotic properties such as topological surface states and anomalous transport phenomena. Their band structure topology is usually predetermined by material parameters and can…

We present a microscopic theory of diffusive magnetotransport in Weyl metals and clarify its relation to chiral anomaly. We derive coupled diffusion equations for the total and axial charge densities and show that chiral anomaly manifests…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 A. A. Burkov

Distinct to type-I Weyl semimetals (WSMs) that host quasiparticles described by the Weyl equation, the energy dispersion of quasiparticles in type-II WSMs violates Lorentz invariance and the Weyl cones in the momentum space are tilted.…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 M. -Y. Yao , N. Xu , Q. Wu , G. Autès , N. Kumar , V. N. Strocov , N. C. Plumb , M. Radovic , O. V. Yazyev , C. Felser , J. Mesot , M. Shi

We present a theory of thermoelectric transport in weakly disordered Weyl semimetals where the electron-electron scattering time is faster than the electron-impurity scattering time. Our hydrodynamic theory consists of relativistic fluids…

Strongly Correlated Electrons · Physics 2016-08-31 Andrew Lucas , Richard A. Davison , Subir Sachdev

Weyl semimetals are three-dimensional topological states of matter, in a sense that they host paired monopoles and antimonopoles of Berry curvature in momentum space, leading to the chiral anomaly. The chiral anomaly has long been believed…

Mesoscale and Nanoscale Physics · Physics 2015-06-26 Hai-Zhou Lu , Song-Bo Zhang , Shun-Qing Shen

Non-Hermiticity in Weyl Hamiltonian leads to the realization of Weyl exceptional rings and flat bands inside the Weyl exceptional rings. Recently, the platform of non-Hermitian physics is extended to many-body or disordered systems where…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 Taiki Matsushita , Yuki Nagai , Satoshi Fujimoto

We report the experimental discovery of Adler-Bell-Jackiw chiral anomaly in a Weyl semimetal crystal.

Weyl semimetal is a new phase of matter that provides the first solid state realization of chiral Weyl fermions. Most of its unique physics is a consequence of chiral anomaly, namely nonconservation of the number of particles of a given…

Mesoscale and Nanoscale Physics · Physics 2013-09-11 Y. Chen , Si Wu , A. A. Burkov

A Weyl semimetal denotes an electronic phase of solids in which two bands cross linearly. In this paper we study the effect of a spatially correlated disorder on such a phase. Using a renormalization group analysis, we show that in three…

Mesoscale and Nanoscale Physics · Physics 2017-02-06 Thibaud Louvet , David Carpentier , Andrei A. Fedorenko

Quantum materials governed by emergent topological fermions have become a cornerstone of physics. Dirac fermions in graphene form the basis for moir\'e quantum matter, and Dirac fermions in magnetic topological insulators enabled the…

Weyl semimetal is a new topological state of matter, characterized by the presence of nondegenerate band-touching nodes, separated in momentum space, in its bandstructure. Here we discuss a particular realization of a Weyl semimetal: a…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 A. A. Zyuzin , Si Wu , A. A. Burkov

Helicons are transverse electromagnetic waves propagating in three-dimensional (3D) electron systems subject to a static magnetic field. We present a theory of helicons propagating through a 3D Weyl semimetal. Our approach relies on the…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Francesco M. D. Pellegrino , Mikhail I. Katsnelson , Marco Polini

We investigate torsional chiral magnetic effect (TCME) induced by skyrmion-vortex textures in the A phase of the superfluid $^3$He. In $^3$He-A, Bogoliubov quasiparticles around point nodes behave as Weyl fermions, and the nodal direction…

Superconductivity · Physics 2019-01-28 Yusuke Ishihara , Takeshi Mizushima , Atsushi Tsuruta , Satoshi Fujimoto

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

We explore the stability of three-dimensional Weyl and Dirac semimetals subject to quasiperiodic potentials. We present numerical evidence that the semimetal is stable for weak quasiperiodic potentials, despite being unstable for weak…

Disordered Systems and Neural Networks · Physics 2020-06-23 J. H. Pixley , Justin H. Wilson , David A. Huse , Sarang Gopalakrishnan

The chiral anomaly is a fundamental quantum mechanical phenomenon which is of great importance to both particle physics and condensed matter physics alike. In the context of QED it manifests as the breaking of chiral symmetry in the…

Strongly Correlated Electrons · Physics 2021-05-12 Colin Rylands , Alireza Parhizkar , Anton A. Burkov , Victor Galitski

We study the chiral electric separation effect (CESE) in Weyl semimetals (WSM). Within the model based on the kinetic equation we show that there is a non-zero chirality current in external electric and magnetic fields. We distinguish…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Vladimir A. Zyuzin