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

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Main Authors: Ghosh, Rahul, Mandal, Ipsita
Format: Preprint
Published: 2023
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author Ghosh, Rahul
Mandal, Ipsita
author_facet Ghosh, Rahul
Mandal, Ipsita
contents 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 $\mathbf B^{\rm tot}$, 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 $\mathbf B^{\rm tot}$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2310_02318
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
Ghosh, Rahul
Mandal, Ipsita
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
High Energy Physics - Theory
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 $\mathbf B^{\rm tot}$, 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 $\mathbf B^{\rm tot}$ 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.
title Electric and thermoelectric response for Weyl and multi-Weyl semimetals in planar Hall configurations including the effects of strain
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
High Energy Physics - Theory
url https://arxiv.org/abs/2310.02318