Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain

Abstract

We investigate the response tensors in planar Hall (or planar thermal Hall) configurations such that a three-dimensional Weyl or multi-Weyl semimetal is subjected to the influence of an electric field $\mathbf{E}$ (or temperature gradient ${\nabla }_{\mathbf{r}}T$) and an effective magnetic field ${\mathbf{B}}^{\mathrm{tot}}$, which are oriented at a generic angle with respect to each other. The effective magnetic field consists of two parts: (a) an actual/physical magnetic field $\mathbf{B}$, and (b) an emergent magnetic field ${\mathbf{B}}_5$ which quantifies the elastic deformations of the sample. ${\mathbf{B}}_5$ is an axial pseudomagnetic field because it couples to conjugate nodal points with opposite chiralities with opposite signs. We study the interplay of the orientations of these two components of ${\mathbf{B}}^{\mathrm{tot}}$ with respect to the direction of the electric field (or temperature gradient) and elucidate how it affects the characteristics involving the chirality of the node. Additionally, we show that the magnitude and sharpness of the conductivity tensor profiles strongly depend on the value of the topological charge at the node in question.

arXiv commentcontains discussions on Boltzmann formalism from arXiv:2309.10763; some typos/errors involving units and parameter-values corrected; corrigendum appears at https://doi.org/10.1016/j.physe.2025.116282

References in corpus (70)

• Berry Phase Effects on Electronic Properties
• Weyl Semimetal in a Topological Insulator Multilayer
• Valley contrasting physics in graphene: magnetic moment and topological transport
• Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
• Topological Materials: Weyl Semimetals
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Chern semi-metal and Quantized Anomalous Hall Effect in HgCr2Se4
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
• Observation of the chiral magnetic effect in ZrTe5
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Multi-Weyl Topological Semimetals Stabilized by Point Group Symmetry
• 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
• Anomalous Hall Effect in Weyl Metals
• A new type of Weyl semimetal with quadratic double Weyl fermions in SrSi2
• 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
• Strain-induced pseudo-magnetic field for novel graphene electronics
• Giant Planar Hall Effect in Topological Metals
• Thermoelectric properties of Weyl and Dirac semimetals
• Light control with Weyl semimetals
• Nernst and magneto-thermal conductivity in a lattice model of Weyl fermions
• Berry phase correction to electron density in solids and "exotic" dynamics
• Dirac dispersion generates large Nernst effect in Weyl semimetals
• Linear magneto-chiral transport in tilted type-I and type-II Weyl Semimetals
• Negative Magnetoresistance in Weyl semimetals NbAs and NbP: Intrinsic Chiral Anomaly and Extrinsic Effects
• 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
• Disorder-driven destruction of a non-Fermi liquid semimetal via renormalization group
• Berry phase theory of planar Hall effect in Topological Insulators
• Magnetic textures and dynamics in magnetic Weyl semimetals
• Rotational strain in Weyl semimetals: A continuum approach
• Magnus Hall Effect
• 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
• Thermopower in an anisotropic two-dimensional Weyl semimetal
• Magnetotransport in multi-Weyl semimetals: A kinetic theory approach
• Magnus Nernst and thermal Hall effect
• Chirality-dependent planar Hall effect in inhomogeneous Weyl semimetals
• Fate of superconductivity in three-dimensional disordered Luttinger semimetals
• Magneto-optical conductivity in generic Weyl semimetals
• Circular dichroism as a probe for topology in three-dimensional semimetals
• Magneto-transport phenomena of type-I multi-Weyl semimetals in co-planar setups
• Effect of interactions on the quantization of the chiral photocurrent for double-Weyl semimetals
• Nonlinear magnetoconductivity in Weyl and multi-Weyl semimetal in quantizing magnetic field
• 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
• Thermo-electric transport properties of Floquet multi-Weyl Semimetals
• Planar Thermal Hall Effect in Weyl Semimetals
• Magneto-optical conductivity in the type-I and type-II phases of Weyl/multi-Weyl semimetals
• Robust Marginal Fermi Liquid In Birefringent Semimetals
• Magnus Hall effect in three-dimensional topological semimetals
• Transmission and conductance across junctions of isotropic and anisotropic three-dimensional semimetals
• Generation of strain-induced pseudo-magnetic field in a doped type-II Weyl semimetal
• 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
• Microscopic theory of magnetoconductivity at low magnetic fields in terms of Berry curvature and orbital magnetic moment
• 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
• Electronic transport in torsional strained Weyl semimetals
• Longitudinal magnetoconductance and the planar Hall conductance in inhomogeneous Weyl semimetals
• Robust quantum transport at particle-hole symmetry
• Observation of an unexpected negative magnetoresistance in magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$

Cited by in corpus (14)

• Thermoelectric response in nodal-point semimetals
• 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
• Planar Hall Effect in Quasi-Two-Dimensional Materials
• Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Transport properties in non-Fermi liquid phases of nodal-point 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
• Anisotropic conductivity for the type-I and type-II phases of Weyl/multi-Weyl semimetals in planar Hall set-ups
• Disentangling contributions to longitudinal magnetoconductivity for Kramers-Weyl nodes
• Geometric transport signatures of strained multi-Weyl semimetals
• Distinguishing features of longitudinal magnetoconductivity for a Rarita-Schwinger-Weyl node