Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals

Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals

4 Apr 2024 | Rahul Ghosh and Ipsita Mandal
The paper investigates the magnetoelectric conductivity in planar Hall setups using tilted Weyl semimetals (WSMs) and multi-Weyl semimetals (mWSMs). The authors compute the conductivity tensors for various configurations of electric ($\mathbf{E}$) and magnetic ($\mathbf{B}$) fields, considering all possible relative orientations. They find that the non-Drude part of the response arises from a nonzero Berry curvature near the WSM/mWSM node. Only when a nonzero tilt is present do linear-in-$\mathbf{B}$ terms appear in setups where the tilt-axis is not perpendicular to the plane spanned by $\mathbf{E}$ and $\mathbf{B}$. These linear-in-$\mathbf{B}$ terms have topological origins and dominate the overall response in realistic parameter regimes. The key signatures of these terms include a change in the periodicity of the response from $\pi$ to $2\pi$ when the angle $\theta$ between $\mathbf{E}$ and $\mathbf{B}$ varies, and an overall change in the sign of the conductivity depending on $\theta$. The paper also discusses the implications of these findings for experimental observations, such as the giant planar Hall effect (PHE) and the chiral anomaly.The paper investigates the magnetoelectric conductivity in planar Hall setups using tilted Weyl semimetals (WSMs) and multi-Weyl semimetals (mWSMs). The authors compute the conductivity tensors for various configurations of electric ($\mathbf{E}$) and magnetic ($\mathbf{B}$) fields, considering all possible relative orientations. They find that the non-Drude part of the response arises from a nonzero Berry curvature near the WSM/mWSM node. Only when a nonzero tilt is present do linear-in-$\mathbf{B}$ terms appear in setups where the tilt-axis is not perpendicular to the plane spanned by $\mathbf{E}$ and $\mathbf{B}$. These linear-in-$\mathbf{B}$ terms have topological origins and dominate the overall response in realistic parameter regimes. The key signatures of these terms include a change in the periodicity of the response from $\pi$ to $2\pi$ when the angle $\theta$ between $\mathbf{E}$ and $\mathbf{B}$ varies, and an overall change in the sign of the conductivity depending on $\theta$. The paper also discusses the implications of these findings for experimental observations, such as the giant planar Hall effect (PHE) and the chiral anomaly.
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