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
This paper investigates the magnetoelectric conductivity in planar Hall setups using tilted Weyl and multi-Weyl semimetals. The study considers all possible orientations of electromagnetic fields and the tilt direction. The non-Drude part of the response arises from the Berry curvature near the Weyl node, which is nonzero only when there is a tilt. The linear-in-|B| terms, which are topologically derived, dominate the response in realistic parameter regimes. These terms change the periodicity of the response from π to 2π and lead to a sign change in conductivity depending on the angle between E and B. The paper presents three set-ups for the planar Hall effect, showing how tilt parameters and the intrinsic dispersion of multi-Weyl semimetals lead to direction-dependent signatures. The results demonstrate that the tilt introduces linear-in-B terms, which are crucial for understanding the behavior of the conductivity in these materials. The study also highlights the importance of the Berry curvature and its role in the chiral anomaly, leading to phenomena such as the giant planar Hall effect. The findings provide insights into the topological properties of Weyl and multi-Weyl semimetals and their response to external fields.This paper investigates the magnetoelectric conductivity in planar Hall setups using tilted Weyl and multi-Weyl semimetals. The study considers all possible orientations of electromagnetic fields and the tilt direction. The non-Drude part of the response arises from the Berry curvature near the Weyl node, which is nonzero only when there is a tilt. The linear-in-|B| terms, which are topologically derived, dominate the response in realistic parameter regimes. These terms change the periodicity of the response from π to 2π and lead to a sign change in conductivity depending on the angle between E and B. The paper presents three set-ups for the planar Hall effect, showing how tilt parameters and the intrinsic dispersion of multi-Weyl semimetals lead to direction-dependent signatures. The results demonstrate that the tilt introduces linear-in-B terms, which are crucial for understanding the behavior of the conductivity in these materials. The study also highlights the importance of the Berry curvature and its role in the chiral anomaly, leading to phenomena such as the giant planar Hall effect. The findings provide insights into the topological properties of Weyl and multi-Weyl semimetals and their response to external fields.
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Understanding Direction-dependent conductivity in planar Hall set-ups with tilted Weyl%2Fmulti-Weyl semimetals