Chiral anomaly as origin of planar Hall effect in Weyl semimetals

Abstract

In condensed matter physics, the term "chiral anomaly" implies the violation of the separate number conservation laws of Weyl fermions of different chiralities in the presence of parallel electric and magnetic fields. One effect of chiral anomaly in the recently discovered Dirac and Weyl semimetals is a positive longitudinal magnetoconductance (LMC). Here we show that chiral anomaly and non-trivial Berry curvature effects engender another striking effect in WSMs, the planar Hall effect (PHE). Remarkably, PHE manifests itself when the applied current, magnetic field, and the induced transverse "Hall" voltage all lie in the same plane, precisely in a configuration in which the conventional Hall effect vanishes. In this work we treat PHE quasi-classically, and predict specific experimental signatures for type-I and type-II Weyl semimetals that can be directly checked in experiments.

4+ pages; Version accepted in Phys. Rev. Lett

References in corpus (35)

• Berry Phase Effects on Electronic Properties
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Type-II Weyl Semimetals
• Weyl Semimetal in a Topological Insulator Multilayer
• Topological nodal semimetals
• Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd${}_3$As${}_2$
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• Observation of the chiral magnetic effect in ZrTe5
• Anomalous Hall effect in ferromagnetic semiconductors
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Berry phase effect in anomalous thermoelectric transport
• The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi
• Quantum transport evidence for a three-dimensional Dirac semimetal phase in Cd3As2
• Giant Planar Hall Effect in Epitaxial (Ga,Mn)As Devices
• Weyl semimetal with broken time reversal and inversion symmetries
• Axionic field theory of (3+1)-dimensional Weyl semi-metals
• Observation of Fermi Arcs in Type-II Weyl Semimetal Candidate WTe2
• Giant Planar Hall Effect in Topological Metals
• Adler-Bell-Jackiw anomaly in Weyl semi-metals: Application to Pyrochlore Iridates
• Thermoelectric properties of Weyl and Dirac semimetals
• Nernst and magneto-thermal conductivity in a lattice model of Weyl fermions
• Tuning phase transition between quantum spin Hall and ordinary insulating phases
• Berry phase correction to electron density in solids and "exotic" dynamics
• Boltzmann-equation approach to anomalous transport in a Weyl metal
• Anomalous conductivity tensor in the Dirac semimetal Na_3Bi
• On the magnetotransport of Weyl semimetals due to the chiral anomaly
• Chiral anomaly and longitudinal magnetotransport in type-II Weyl semimetals
• Minimal models for topological Weyl semimetals
• Optical gyrotropy as a test for dynamic chiral magnetic effect of Weyl semimetals
• Optical gyrotropy from axion electrodynamics in momentum space

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• Planar Hall Effect and Anisotropic Magnetoresistance in a polar-polar interface of LaVO${}_3$-KTaO${}_3$ with strong spin-orbit coupling
• Non-topological Origin of the Planar Hall Effect in Type-II Dirac Semimetal NiTe2
• Linear magneto-chiral transport in tilted type-I and type-II Weyl Semimetals
• Giant Planar Hall Effect in the Dirac Semimetal ZrTe5
• All-electrical switching of a topological non-collinear antiferromagnet at room temperature
• Probing the Chiral Anomaly by Planar Hall Effect in Three-dimensional Dirac Semimetal Cd3As2 Nanoplates
• Planar topological Hall effect in a uniaxial van der Waals ferromagnet Fe3GeTe2
• Planar Hall effect in type II Dirac semimetal VAl${}_3$
• Berry phase theory of planar Hall effect in Topological Insulators
• Quantum Oscillations of The Positive Longitudinal Magnetoconductivity: a Fingerprint for Identifying Weyl Semimetals
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• Distinct signatures of particle-hole symmetry breaking in transport coefficients for generic multi-Weyl semimetals
• Planar Hall Effect in Quasi-Two-Dimensional Materials
• Observation of an unexpected negative magnetoresistance in magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Signature of topological non-trivial band structure in Ta${}_3$SiTe${}_6$
• Angular dependence of magnetoresistance and planar Hall effect in semimetals in strong magnetic fields
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