Electric, thermal, and thermoelectric magnetoconductivity for Weyl/multi-Weyl semimetals in planar Hall set-ups induced by the combined effects of topology and strain

Abstract

We continue our investigation of the response tensors in planar Hall (or planar thermal Hall) configurations where a three-dimensional Weyl/multi-Weyl semimetal is subjected to the combined influence of an electric field $\mathbf{E}$ (and/or temperature gradient ${\nabla }_{\mathbf{r}}T$) and an effective magnetic field ${\mathbf{B}}_{\chi }$, generalizing the considerations of Phys. Rev. B 108 (2023) 155132 and Physica E 159 (2024) 115914. The electromagnetic fields are oriented at a generic angle with respect to each other, thus leading to the possibility of having collinear components, which do not arise in a Hall set-up. The net effective magnetic field ${\mathbf{B}}_{\chi }$ consists of two parts -- (a) an actual/physical magnetic field $\mathbf{B}$ applied externally; 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. Using a semiclassical Boltzmann formalism, we derive the generic expressions for the response tensors, including the effects of the Berry curvature (BC) and the orbital magnetic moment (OMM), which arise due to a nontrivial topology of the bandstructures. We elucidate the interplay of the BC-only and the OMM-dependent parts in the longitudinal and transverse (or Hall) components of the electric, thermal, and thermoelectric response tensors. Especially, for the co-planar transverse components of the response tensors, the OMM part acts exclusively in opposition (sync) with the BC-only part for the Weyl (multi-Weyl) semimetals.

arXiv commentfollow up paper of arXiv:2310.02318 and arXiv:2402.10203; minor typos corrected

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Cited by in corpus (8)

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• Linear response of tilted anisotropic two-dimensional Dirac cones
• Disentangling contributions to longitudinal magnetoconductivity for Kramers-Weyl nodes
• Geometric transport signatures of strained multi-Weyl semimetals