Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals

Abstract

We investigate the nature of the linear-response tensors in planar Hall and planar thermal Hall setups, where we subject a Rarita-Schwinger-Weyl (RSW) semimetal to the combined influence of an electric field $\mathbf{E}$ (and/or temperature gradient ${\nabla }_{\mathbf{r}}T$) and a weak (i.e., nonquantizing) magnetic field $\mathbf{B}$. For computing the in-plane transport components, we have added an elastic deformation which gives rise to a chirality-dependent effective magnetic field ${\mathbf{B}}^{\text{tot}}=\mathbf{B}+\chi {\mathbf{B}}_5$, where $\chi$ is the chirality of an RSW node. We have included the effects of orbital magnetic moment (OMM), in conjunction with the Berry curvature (BC), both of which appear as a consequence of nontrivial topology of the bandstructure. Due to the presence of four bands, RSW semimetals provide a richer structure for obtaining the linear-response coefficients, compared to the Weyl semimetals. In particular, we have found that the OMM-contributed terms may oppose or add up to the BC-only parts, depending on which band we are considering. Last, but not the least, we have determined the out-of-plane response comprising the intrinsic anomalous-Hall and the Lorentz-force-contributed currents, whose nature corroborates the findings of some recent experimental results.

arXiv commentjournal version

References in corpus (92)

• Berry Phase Effects on Electronic Properties
• Weyl Semimetal in a Topological Insulator Multilayer
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Topological Materials: Weyl Semimetals
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Magneto-optical conductivity in Graphene
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Berry phase effect in anomalous thermoelectric transport
• Berry phase correction to electron density of states in solids
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Multiple types of topological fermions in transition metal silicides
• Anomalous Hall Effect in Weyl Metals
• Large Fermi Arcs in Unconventional Weyl Semimetal RhSi
• Discovery of topological chiral crystals with helicoid arc states
• Axionic field theory of (3+1)-dimensional Weyl semi-metals
• Chiral anomaly as origin of planar Hall effect in Weyl semimetals
• Generating quantizing pseudomagnetic fields by bending graphene ribbons
• Chiral gauge field and axial anomaly in a Weyl semi-metal
• Observation of Chiral Fermions with a Large Topological Charge and and Associated Fermi-Arc Surface States in CoSi
• Strain-induced pseudo-magnetic field for novel graphene electronics
• Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
• Chiral Topological Semimetal with Multifold Band Crossings and Long Fermi arcs
• Thermoelectric properties of Weyl and Dirac semimetals
• Chiral Optical Response of Multifold Fermions
• Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
• Light control with Weyl semimetals
• Quantum transport in Dirac materials: signatures of tilted and anisotropic Dirac and Weyl cones
• Berry phase correction to electron density in solids and "exotic" dynamics
• Hydrodynamic theory of thermoelectric transport and negative magnetoresistance in Weyl semimetals
• Onsager Relations in Coupled Electric, Thermoelectric and Spin Transport: The Ten-Fold Way
• Dirac dispersion generates large Nernst effect in Weyl semimetals
• Topological and geometrical aspects of band theory
• Linear magneto-chiral transport in tilted type-I and type-II Weyl Semimetals
• Anomalous conductivity tensor in the Dirac semimetal Na_3Bi
• Linear magnetoconductivity in an intrinsic topological Weyl semimetal
• Interactions remove the quantization of the chiral photocurrent at Weyl points
• Thermoelectric transport in double-Weyl semimetals
• Berry phase theory of planar Hall effect in Topological Insulators
• Disorder-driven destruction of a non-Fermi liquid semimetal via renormalization group
• Magnetic textures and dynamics in magnetic Weyl semimetals
• Rotational strain in Weyl semimetals: A continuum approach
• Magnus Hall Effect
• Negative longitudinal magnetoconductance at weak fields in Weyl semimetals
• Rarita-Schwinger-Weyl semimetal in Jeff=3/2 electron systems
• Interplay of Coulomb interactions and disorder in three dimensional quadratic band crossings without time-reversal symmetry and with unequal masses for conduction and valence bands
• Semimetal with both Rarita-Schwinger-Weyl and Weyl excitations
• Berry curvature induced thermopower in type-I and type-II Weyl Semimetals
• Thermopower in an anisotropic two-dimensional Weyl semimetal
• Linear magnetochiral effect in Weyl semimetals
• Observation of multiple types of topological fermions in PdBiSe
• Magnus Nernst and thermal Hall effect
• Chirality-dependent planar Hall effect in inhomogeneous Weyl semimetals
• Planar Hall effect in topological Weyl and nodal line semimetals
• Fate of superconductivity in three-dimensional disordered Luttinger semimetals
• Magneto-optical conductivity in generic Weyl semimetals
• d-wave superconductivity and Bogoliubov-Fermi surfaces in Rarita-Schwinger-Weyl semimetals
• Tilted disordered Weyl semimetals
• Interplay of topology and electron-electron interactions in Rarita-Schwinger-Weyl semimetals
• Circular dichroism as a probe for topology in three-dimensional semimetals
• New quantum critical points of $j=3/2$ Dirac electrons in antiperovskite topological crystalline insulators
• Nonlinear magnetoconductivity in Weyl and multi-Weyl semimetal in quantizing magnetic field
• Intrinsic negative magnetoresistance from the chiral anomaly of multifold fermions
• Effect of interactions on the quantization of the chiral photocurrent for double-Weyl semimetals
• Tunneling of multi-Weyl semimetals through a potential barrier under the influence of magnetic fields
• Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well
• Observation of a singular Weyl point surrounded by charged nodal walls in PtGa
• 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
• Magneto-optical conductivity in the type-I and type-II phases of Weyl/multi-Weyl semimetals
• Magnus Hall effect in three-dimensional topological semimetals
• Robust Marginal Fermi Liquid In Birefringent Semimetals
• Transmission in pseudospin-1 and pseudospin-3/2 semimetals with linear dispersion through scalar and vector potential barriers
• Generation of strain-induced pseudo-magnetic field in a doped type-II Weyl semimetal
• Transmission and conductance across junctions of isotropic and anisotropic three-dimensional semimetals
• Thermoelectric response in nodal-point semimetals
• Emergence of topological Mott insulators in proximity of quadratic band touching points
• Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals
• Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
• Signatures of two- and three-dimensional semimetals from circular dichroism
• Floquet transmission in Weyl/multi-Weyl and nodal-line semimetals through a time-periodic potential well
• Longitudinal magnetoconductance and the planar Hall conductance in inhomogeneous Weyl semimetals
• Robust quantum transport at particle-hole symmetry
• Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Berry curvature induced anisotropic magnetotransport in a quadratic triple-component fermionic system
• Andreev bound states in superconductor-barrier-superconductor junctions of Rarita-Schwinger-Weyl semimetals
• Chiral topological metals with multiple types of quasiparticle fermions and large spin Hall effect in the SrGePt family materials

Cited by in corpus (6)

• Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
• Reflections of topological properties in the planar-Hall response for semimetals carrying pseudospin-1 quantum numbers
• Chiral anomaly and internode scatterings in multifold semimetals
• Linear response of tilted anisotropic two-dimensional Dirac cones
• Disentangling contributions to longitudinal magnetoconductivity for Kramers-Weyl nodes
• Distinguishing features of longitudinal magnetoconductivity for a Rarita-Schwinger-Weyl node