Chiral Anomaly Induced Transverse Planar Transport Phenomena in Three Dimensional Spin-Orbit Coupled Metals

Abstract

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, these systems do not possess multiple Weyl nodes located at isolated points in the momentum space but instead host a pair of Fermi surfaces characterized by opposite Berry curvature fluxes enclosing the same band-degeneracy point. Using semiclassical Boltzmann transport formalism within the relaxation time approximation, we derive first- and second-order transverse planar transport coefficients induced by electrical and thermal gradients in the presence of an in-plane magnetic field. Our analysis reveals distinctive angular dependencies of the transport coefficients, along with characteristic scaling behavior with the magnetic field strength. Furthermore, we demonstrate that the anomaly-induced transport coefficients exhibit an exponential temperature dependence. This unconventional behavior leads to the violations of the Mott relation at comparatively low temperatures, highlighting unique thermoelectric signatures that can be probed experimentally in 3D spin-orbit coupled metallic systems.

13 pages, 8 figures

References in corpus (87)

• The electronic properties of graphene
• Topological Insulators
• Topological insulators and superconductors
• Fault-tolerant quantum computation by anyons
• Non-Abelian Anyons and Topological Quantum Computation
• Berry Phase Effects on Electronic Properties
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Weyl Semimetal in a Topological Insulator Multilayer
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Dirac semimetal in three dimensions
• Topological nodal semimetals
• Topological superconductors: a review
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• 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
• Negative magnetoresistance without well-defined chirality in the Weyl semimetal TaP
• Observation of the chiral magnetic effect in ZrTe5
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi
• Landau Quantization and Quasiparticle Interference in the Three-Dimensional Dirac Semimetal Cd3As2
• Quantum transport evidence for a three-dimensional Dirac semimetal phase in Cd3As2
• Charge Transport in Weyl Semimetals
• Weyl semimetal with broken time reversal and inversion symmetries
• Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
• Axionic field theory of (3+1)-dimensional Weyl semi-metals
• Chiral anomaly as origin of planar Hall effect in Weyl semimetals
• Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
• Gate-Tunable Negative Longitudinal Magnetoresistance in the Predicted Type-II Weyl Semimetal WTe2
• Adler-Bell-Jackiw anomaly in Weyl semi-metals: Application to Pyrochlore Iridates
• The Berry curvature dipole in Weyl semimetal materials: an ab initio study
• Thermoelectric properties of Weyl and Dirac semimetals
• Unexpected mass acquisition of Dirac fermions at the quantum phase transition of a topological insulator
• Strong and Fragile Topological Dirac Semimetals with Higher-Order Fermi Arcs
• Negative longitudinal magnetoresistance in Dirac and Weyl metals
• Axial anomaly and longitudinal magnetoresistance of a generic three dimensional metal
• On the search for the chiral anomaly in Weyl semimetals: The negative longitudinal magnetoresistance
• Nernst and magneto-thermal conductivity in a lattice model of Weyl fermions
• Current-nonlinear Hall effect and spin-orbit torque magnetization switching in a magnetic topological insulator
• Review of experiments on the chiral anomaly in Dirac-Weyl semimetals
• Boltzmann-equation approach to anomalous transport in a Weyl metal
• Quantum geometry induced nonlinear transport in altermagnets
• Giant $c$-axis nonlinear anomalous Hall effect in T${}_d$-MoTe${}_2$ and WTe${}_2$
• On the magnetotransport of Weyl semimetals due to the chiral anomaly
• Chiral anomaly and longitudinal magnetotransport in type-II Weyl semimetals
• Weyl and Dirac semimetals with Z_2 topological charge
• Probing the Chiral Anomaly by Planar Hall Effect in Three-dimensional Dirac Semimetal Cd3As2 Nanoplates
• Optical gyrotropy as a test for dynamic chiral magnetic effect of Weyl semimetals
• Nonlinear transport in Weyl semimetals induced by Berry curvature dipole
• Nernst effect in Dirac and inversion-asymmetric Weyl semimetals
• Baryogenesis, 30 Years after
• Quantum Oscillations of The Positive Longitudinal Magnetoconductivity: a Fingerprint for Identifying Weyl Semimetals
• Optical gyrotropy from axion electrodynamics in momentum space
• Nonlinear Hall effect in Weyl semimetals induced by chiral anomaly
• Negative longitudinal magnetoconductance at weak fields in Weyl semimetals
• Linear magnetochiral effect in Weyl semimetals
• Fundamental relations for anomalous thermoelectric transport coefficients in the non-linear regime
• Observation of boundary induced chiral anomaly bulk states and their transport properties
• Chiral anomaly induced nonlinear Hall effect in multi-Weyl semimetals
• Kramers Weyl Semimetals as Quantum Solenoids and Their Applications in Spin-Orbit Torque Devices
• Quantum Field Theory Anomalies in Condensed Matter Physics
• Thermal and gravitational chiral anomaly induced magneto-transport in Weyl semimetals
• Anomalous Nernst effect in type-II Weyl semimetals
• 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
• Transport Theory of Metallic B20 Helimagnets
• Longitudinal magnetoconductance and the planar Hall effect in a lattice model of tilted Weyl fermions
• Longitudinal magnetoconductance and the planar Hall conductance in inhomogeneous Weyl semimetals
• Transverse thermopower in Dirac and Weyl semimetals
• Chiral anomalies induced transport in Weyl semimetals in quantizing magnetic field
• Revisiting magnetotransport in Weyl semimetals
• Chiral anomalies in 3D spin-orbit coupled metals: electrical, thermal, and gravitational anomaly
• Magnetotransport and internodal tunnelling in Weyl semimetals
• Effects of impurities on Hc2(T) in superconductors without inversion symmetry
• Gravitational anomaly in the ferrimagnetic topological Weyl semimetal NdAlSi
• Chiral anomaly in non-relativistic systems: Berry curvature and chiral kinetic theory
• Evidence of 3D Dirac conical bands in TlBiSSe by optical and magneto-optical spectroscopy
• Chiral anomaly in noncentrosymmetric systems induced by spin-orbit coupling
• Chiral anomaly and dynamos from inhomogeneous chemical potential fluctuations
• Stabilizing topological superconductivity in disordered spin-orbit coupled semiconductor-superconductor heterostructures
• Quantum description of Fermi arcs in Weyl semimetals in a magnetic field