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.

contains 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

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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