Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
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arXiv
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| Format: | Preprint |
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2024
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| author | Ghosh, Rahul Mandal, Ipsita |
| author_facet | Ghosh, Rahul Mandal, Ipsita |
| contents | We compute the magnetoelectric conductivity tensors in planar Hall set-ups, which are built with tilted Weyl semimetals (WSMs) and multi-Weyl semimetals (mWSMs), considering all possible relative orientations of the electromagnetic fields ($\mathbf E $ and $\mathbf B $) and the direction of the tilt. The non-Drude part of the response arises from a nonzero Berry curvature in the vicinity of the WSM/mWSM node under consideration. Only in the presence of a nonzero tilt do we find linear-in-$ | \mathbf B| $ terms in set-ups where the tilt-axis is not perpendicular to the plane spanned by $\mathbf E $ and $ \mathbf B $. The advantage of the emergence of the linear-in-$ | \mathbf B| $ terms is that, unlike the various $| \mathbf B|^2 $-dependent terms that can contribute to experimental observations, they have purely a topological origin, and they dominate the overall response-characteristics in the realistic parameter regimes. The important signatures of these terms are that they (1) change the periodicity of the response from $π$ to $2π$, when we consider their dependence on the angle $θ$ between $\mathbf E $ and $\mathbf B $; and (2) lead to an overall change in sign of the conductivity depending on $θ$, when measured with respect to the $\mathbf B =0$ case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10203 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals Ghosh, Rahul Mandal, Ipsita Mesoscale and Nanoscale Physics Strongly Correlated Electrons High Energy Physics - Theory We compute the magnetoelectric conductivity tensors in planar Hall set-ups, which are built with tilted Weyl semimetals (WSMs) and multi-Weyl semimetals (mWSMs), considering all possible relative orientations of the electromagnetic fields ($\mathbf E $ and $\mathbf B $) and the direction of the tilt. The non-Drude part of the response arises from a nonzero Berry curvature in the vicinity of the WSM/mWSM node under consideration. Only in the presence of a nonzero tilt do we find linear-in-$ | \mathbf B| $ terms in set-ups where the tilt-axis is not perpendicular to the plane spanned by $\mathbf E $ and $ \mathbf B $. The advantage of the emergence of the linear-in-$ | \mathbf B| $ terms is that, unlike the various $| \mathbf B|^2 $-dependent terms that can contribute to experimental observations, they have purely a topological origin, and they dominate the overall response-characteristics in the realistic parameter regimes. The important signatures of these terms are that they (1) change the periodicity of the response from $π$ to $2π$, when we consider their dependence on the angle $θ$ between $\mathbf E $ and $\mathbf B $; and (2) lead to an overall change in sign of the conductivity depending on $θ$, when measured with respect to the $\mathbf B =0$ case. |
| title | Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals |
| topic | Mesoscale and Nanoscale Physics Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.10203 |