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The low-energy effective description of Weyl semimetals is defined by the axion electrodynamics, which captures the effects arising due to the presence of nodes of opposite chirality in the electronic structure. Here we explore the…

Superconductivity · Physics 2025-10-02 Vira Shyta , Jeroen van den Brink , Flavio S. Nogueira

Characterized by the absence of inversion symmetry, non-centrosymmetric materials are of great interest because they exhibit ferroelectricity, second harmonic generation, emergent Weyl fermions, and other fascinating phenomena. It is…

We present an overview of our recent work on transport phenomena in Weyl metals, which may be connected to their nontrivial topological properties, particularly to chiral anomaly. We argue that there are two basic phenomena, which are…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 A. A. Burkov

Recently synthesized 3D materials with Dirac spectrum exhibit peculiar electric transport qualitatively different from its 2D analogue, graphene. Neglecting impuritiy scattering, the real part of the conductivity is strongly frequency…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 B. Rosenstein , H. C. Kao , M. Lewkowicz

Weyl semimetals host linear energy dispersions around Weyl nodes, as well as monopoles of Berry curvature in momentum space around these points. These features give rise to unique transport signatures in a Weyl semimetal, such as transverse…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Robert C. McKay , Timothy M. McCormick , Nandini Trivedi

We consider effects of spatial dispersion in noncentrosymmetric time-reversal invariant Weyl metals in the presence of a static magnetic field. In particular, we study currents that are linear in both the spatial derivatives of an applied…

Mesoscale and Nanoscale Physics · Physics 2022-07-12 S. Nandy , D. A. Pesin

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

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 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

The topological nature of the band structure of a Weyl semimetal leads to a number of unique transport and optical properties. For example, the description of the propagation of an electromagnetic wave in a Weyl semimetal with broken…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Olivier Trépanier , Rémi N. Duchesne , Jérémie J. Boudreault , René Côté

The identification of distinct charge transport features, deriving from nontrivial bulk band and surface states, has been a challenging subject in the field of topological systems. In topological Dirac and Weyl semimetals, nontrivial…

We investigate linear and nonlinear transverse planar transport phenomena (viz. linear and nonlinear Hall and Nernst coefficients) induced by chiral anomaly in three-dimensional spin-orbit coupled metallic systems. Unlike Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Rishi G. Gopalakrishnan , Binayyak B. Roy , Gargee Sharma , Sumanta Tewari

Time-reversal symmetry breaking allows for a rich set of magneto-transport properties related to electronic topology. Focusing on the magnetic Weyl semimetal Co$_3$Sn$_2$S$_2$, we prepared micro-ribbons and investigated their transverse and…

Weyl fermions are powerful yet simple entities that connect geometry, topology, and physics. While their existence as fundamental particles is still uncertain, growing evidence shows they emerge as quasiparticles in special materials called…

Mesoscale and Nanoscale Physics · Physics 2025-06-17 Azaz Ahmad

Emergent relativistic quasiparticles in Weyl semimetals are the source of exotic electronic properties such as surface Fermi arcs, the anomalous Hall effect, and negative magnetoresistance, all observed in real materials. Whereas these…

Topological materials, such as topological insulators or semimetals, usually not only reveal the nontrivial properties of their electronic wavefunctions through the appearance of stable boundary modes, but also through very specific…

The nonlocal response of chiral electron fluid in a semi-infinite Weyl semimetal slab with the electric current source and drain attached to its surface is studied by using the consistent hydrodynamic framework. It is found that the…

Strongly Correlated Electrons · Physics 2018-07-24 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

Multi-Weyl semimetals are a kind of topological phase of matter with discrete Weyl nodes characterized by multiple monopole charges, in which the chiral anomaly, the anomalous nonconservation of an axial current, occurs in the presence of…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Ze-Min Huang , Jianhui Zhou , Shun-Qing Shen

Recent discovery of both gapped and gapless topological phases in weakly correlated electron systems has introduced various relativistic particles and a number of exotic phenomena in condensed matter physics. The Weyl fermion is a prominent…

Weyl fermions have recently been observed in several time-reversal-invariant semimetals and photonics materials with broken inversion symmetry. These systems are expected to have exotic transport properties such as the chiral anomaly.…

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