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 (6)

• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Berry phase effect in anomalous thermoelectric transport
• Quantum transport evidence for a three-dimensional Dirac semimetal phase in Cd3As2
• Giant Planar Hall Effect in Topological Metals
• Thermoelectric properties of Weyl and Dirac semimetals
• Tuning phase transition between quantum spin Hall and ordinary insulating phases

Cited by in corpus (171)

• Electrical Manipulation of a Topological Antiferromagnetic State
• Electronic Transport and quantum oscillation of Topological Semimetals
• Giant room temperature anomalous Hall effect and magnetically tuned topology in the ferromagnetic Weyl semimetal Co2MnAl
• Planar Hall effect in the Weyl semimetal GdPtBi
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Giant anisotropic magnetoresistance and planar Hall effect in the Dirac semimetal Cd3As2
• Giant spontaneous Hall effect in a nonmagnetic Weyl-Kondo semimetal
• 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
• Anomalous Planar Hall Effect in Two-Dimensional Trigonal Crystals
• Intrinsic Nonlinear Planar Hall Effect
• Nonlinear Hall effect in Weyl semimetals induced by chiral anomaly
• Berry curvature induced thermopower in type-I and type-II Weyl Semimetals
• Orbital Origin of Intrinsic Planar Hall Effect
• Current jetting distorted planar Hall effect in a Weyl semimetal with ultrahigh mobility
• A novel undamped gapless plasmon mode in tilted type-II Dirac semimetal
• Origin of planar Hall effect in type-II Weyl semimetal MoTe2
• Quantum anomalies in nodal line semimetals
• Planar Hall effect in antiferromagnetic MnTe thin films
• Chirality-dependent planar Hall effect in inhomogeneous Weyl semimetals
• Planar Hall effect in topological Weyl and nodal line semimetals
• Chiral anomaly induced nonlinear Hall effect in multi-Weyl semimetals
• Single Pair of Weyl Points in Nonmagnetic Crystals
• Unconventional Hall Effect induced by Berry Curvature
• Unconventional Planar Hall Effect in Exchange-Coupled Topological Insulator-Ferromagnetic Insulator Heterostructures
• Magneto-transport phenomena of type-I multi-Weyl semimetals in co-planar setups
• Planar Thermal Hall Effects in Kitaev Spin Liquid Candidate Na2Co2TeO6
• Non-linear Transport in Non-centrosymmetric Systems: From Fundamentals to Applications
• Role of time reversal symmetry and tilting in circular photogalvanic responses
• Thermo-electric transport properties of Floquet multi-Weyl Semimetals
• Thermal and gravitational chiral anomaly induced magneto-transport in Weyl semimetals
• Planar Thermal Hall Effect in Weyl Semimetals
• Quantum-oscillation-modulated angular dependences of the positive longitudinal magnetoconductivity and planar Hall effect in Weyl semimetals
• Berry curvature induced magnetotransport in 3D noncentrosymmetric metals
• Chiral anomaly induced nonlinear Nernst and thermal Hall effects in Weyl semimetals
• The sign of longitudinal magnetoconductivity and the planar Hall effect in Weyl semimetals
• Mirror Protected Multiple Nodal Line Semimetals and Material Realization
• Intrinsic Magnetoresistance in Three-Dimensional Dirac Materials
• Negative longitudinal magnetoresistance as a sign of a possible chiral magnetic anomaly in the half-Heusler antiferromagnet DyPdBi
• Observation of Planar Hall Effect in Topological Insulator -- Bi${}_2$Te${}_3$
• Generalized Triple-Component Fermions: Lattice Model, Fermi arcs, and Anomalous Transport
• Unconventional anomalous Hall effect from magnetization parallel to the electric field
• Thermoelectric response in nodal-point semimetals
• Third-order Hall effect in the surface states of a topological insulator
• Understanding the three-dimensional quantum Hall effect in generic multi-Weyl semimetals
• Fermi arc reconstruction at the interface of twisted Weyl semimetals
• Torsional Responses and Liouville Anomaly in Weyl Semimetals with Dislocations
• Probing charge pumping and relaxation of the chiral anomaly in a Dirac semimetal
• Chiral Hall effect in strained Weyl semimetals
• Topological quantum critical point in a triple-Weyl semimetal: non-Fermi-liquid behaviors and instabilities
• Charge pumping induced by magnetic texture dynamics in Weyl semimetals
• Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals
• Zeeman-splitting-induced Topological Nodal Structure and Anomalous Hall Conductivity in ZrTe${}_5$
• Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
• Topological Magnus responses in two and three dimensional systems
• Longitudinal magnetoconductance and the planar Hall effect in a lattice model of tilted Weyl fermions
• Signatures of two- and three-dimensional semimetals from circular dichroism
• Symmetry-protected Nodal Points and Nodal Lines in Magnetic Materials
• Three-dimensional quantum Hall effect and magnetothermoelectric properties in Weyl semimetals
• Higher-order Oscillatory Planar Hall Effect in Topological Kagome Metal
• Longitudinal magnetoconductance and the planar Hall conductance in inhomogeneous Weyl semimetals
• Orbital design of Berry curvature: pinch points and giant dipoles induced by crystal fields
• Planar Hall effect with sixfold oscillations in a Dirac antiperovskite
• Effect of chirality imbalance on Hall transport of PrRhC${}_2$
• Chiral anomalies induced transport in Weyl semimetals in quantizing magnetic field
• Transverse thermopower in Dirac and Weyl semimetals
• Dynamic chiral magnetic effect and anisotropic natural optical activity of tilted Weyl semimetals
• Hall viscosity for optical phonons
• Planar Hall-effect, Anomalous planar Hall-effect, and Magnetic Field-Induced Phase Transitions in TaAs
• Engineering the in-plane anomalous Hall effect in Cd${}_3$As${}_2$ thin films
• Revisiting magnetotransport in Weyl semimetals
• Surface-induced positive planar Hall effect in topological Kondo insulator SmB6 microribbons
• Gate tunable anomalous Hall effect: a Berry curvature probe at oxides interfaces
• Giant anomalous thermal Hall effect in tilted type-I magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Complex field-, temperature-, and angle-dependent Hall effects from intrinsic Fermi surface revealed by first-principles calculations
• Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain
• Chiral anomalies in 3D spin-orbit coupled metals: electrical, thermal, and gravitational anomaly
• Distinct signatures of particle-hole symmetry breaking in transport coefficients for generic multi-Weyl semimetals
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Observation of time-reversal symmetric Hall effect in graphene-WSe2 heterostructures at room temperature
• Observation of an unexpected negative magnetoresistance in magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Planar Hall Effect in Quasi-Two-Dimensional Materials
• 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
• Finite transverse conductance in topological insulators under an applied in-plane magnetic field
• Electronic band structures of topological kagome materials
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
• Planar Hall effect in type-II Weyl semimetal WTe2
• Superconductivity in doped Weyl semimetal Mo${}_{0.9}$Ir${}_{0.1}$Te${}_2$ with broken inversion symmetry
• First-principles methodology for studying magnetotransport in narrow-gap semiconductors: an application to Zirconium Pentatelluride ZrTe5
• Berry curvature induced anisotropic magnetotransport in a quadratic triple-component fermionic system
• Kondo screening regimes in multi-Dirac and Weyl systems
• Finite transverse conductance and anisotropic magnetoconductance under an applied in-plane magnetic field in two-dimensional electron gases with strong spin-orbit coupling
• Magnetism and Magnetotransport in the Kagome Antiferromagnet ${\text{Mn}}_3\text{Ge}$
• Planar Hall effect in Cu intercalated PdTe${}_2$
• Quantized electrochemical transport in Weyl semimetals
• Nonlinear magnetotransport in a two-dimensional system with merging Dirac points
• Chiral anomaly in noncentrosymmetric systems induced by spin-orbit coupling
• Chiral anomaly in non-relativistic systems: Berry curvature and chiral kinetic theory
• Reflections of topological properties in the planar-Hall response for semimetals carrying pseudospin-1 quantum numbers
• Planar Hall Plateau in Magnetic Weyl Semimetals
• Coherent interlayer coupling in quasi-two-dimensional Dirac fermions in $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Negative magnetoresistance and sign change of the planar Hall effect due to the negative off-diagonal effective-mass in Weyl semimetals
• Dynamical density response and optical conductivity in topological metals
• Multi-terminal Conductance at the Surface of a Weyl Semimetal
• Chirality probe of twisted bilayer graphene in the linear transport regime
• Unconventional Hall effect and magnetoresistance induced by metallic ferroaxial ordering
• Bond-breaking Induced Lifshitz Transition in Robust Dirac Semimetal $\mathbf{VA}{\mathbf{l}}_3$
• Nodal vacancy bound states and resonances in three-dimensional Weyl semimetals
• Chiral anomaly and internode scatterings in multifold semimetals
• Semiclassical magnetotransport including the effects of the Berry curvature and Lorentz force
• Unconventional optical selection rules in ZrTe5 under an in-plane magnetic field
• Pairwise annihilation of Weyl nodes induced by magnetic fields in the Hofstadter regime
• Mirror anomaly and anomalous Hall effect in type-I Dirac semimetals
• Berry-dipole Semimetals
• Geometrical Nonlinear Hall Effect Induced by Lorentz Force
• Evidence for three-dimensional Dirac semimetal state in strongly correlated organic quasi-two-dimensional material
• Chiral anomaly and positive longitudinal magnetoresistance in the type-II Dirac semimetals $A_x$PdTe${}_2$ (\textit{A} = Cu, Ag)
• Quantum geometry and $X$-wave magnets with $X=p,d,f,g,i$
• Almost half-quantized planar Hall effects in $X$-wave magnets with $X=p,d,f,g,i$
• Transport evidence of triply degenerate nodal semimetal YRh6Ge4
• Stark difference in the in-plane anomalous Hall response in Zintl compounds EuA2Sb2 (A = Zn, Cd) thin films
• Electrochemical transport in Dirac nodal-line semimetals
• Quantum oscillations of the nonlinear planar effects signifying chiral anomaly in Weyl Semimetals
• Magnetotransport due to conductivity fluctuations in non-magnetic ZrTe2 nanoplates
• Investigation on high-order planar Hall effect in trigonal PtBi${}_2$
• Parabolic Hall Effect due to Co-Propagating Surface Modes
• Control of valley optical conductivity and topological phases in buckled hexagonal lattice by orientation of in-plane magnetic field
• Abnormal planar Hall effect and disentanglement of incoherent and coherent transport in a Kondo lattice
• Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
• Dissipationless transport signature of topological nodal lines
• Chiral anomaly-induced nonlinear Hall effect in spin-orbit coupled noncentrosymmetric metals
• Shubnikov-de Haas oscillations and planar Hall effect in HfTe2
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets
• Weyl points and anomalous transport effects tuned by the Fe doping in Mn${}_3$Ge Weyl semimetal
• Observation of the In-plane Anomalous Hall Effect induced by Octupole in Magnetization Space
• Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in Weyl semimetals with tilted energy dispersion
• Te Vacancy-Driven Anomalous Transport in ZrTe${}_5$ and HfTe${}_5$
• Signature of nodal topology in nonlinear quantum transport across junctions in Weyl and multi-Weyl semimetals
• Evidence for Weyl fermions in the elemental semiconductor tellurium
• Quantum Hall Effect in a Weyl-Hubbard Model: Interplay between Topology and Correlation
• Theory of transverse magnetization in spin-orbit coupled antiferromagnets
• Anomalous planar Hall effect in a kagome ferromagnet
• Theory for Planar Hall Effect in Organic Dirac Fermion System
• Magnetotransport evidence of a potential low-lying Dirac node in NbAl${}_3$
• Quantum magnetic oscillations in Weyl semimetals with tilted nodes
• Exploiting the violation of Lorentz symmetry for the planar Hall effect
• Chiral anomaly induced magnetoconductances in an irradiated Type-I Weyl Semimetal
• Local spin ice order induced planar Hall effect in Nd-Sn artificial honeycomb lattice
• Distinguishing features of longitudinal magnetoconductivity for a Rarita-Schwinger-Weyl node
• Magneto tunnel conductance across twisted Weyl semimetal junctions
• Global phase diagram of Coulomb-interacting anisotropic Weyl semimetals with disorder
• Odd-parity longitudinal magnetoconductivity in time-reversal symmetry broken materials
• Breakdown of chiral anomaly and emergent phases in Weyl semimetals under orbital magnetic fields
• The orbital-driven topological phase transition and planar Hall responses in ternary tellurides Weyl semi-metals
• Quantum geometric map of magnetotransport
• Classical transport theory for the planar Hall effect with threefold symmetry
• Layer-dependent electronic structures and magnetic ground states of polar-polar $\mathrm{LaV}{\mathrm{O}}_3/KTa{\mathrm{O}}_3$ (001) heterostructures
• Emerging nonlinear Hall effect in Kane-Mele two-dimensional topological insulators
• Chiral Anomaly Induced Transverse Planar Transport Phenomena in Three Dimensional Spin-Orbit Coupled Metals
• Growth and Strain Engineering of Trigonal Te for Topological Quantum Phases in Non-Symmorphic Chiral Crystals
• Orbital dynamics in 2D topological and Chern insulators