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

• Published in: Journal of physics. Condensed matter 2024-07, Vol.36 (27), p.275501
• Main Authors: Ghosh, Rahul, Mandal, Ipsita
• Format: Article
• Language: English
• Subjects: Berry curvature; planar Hall set-ups; tilt; Weyl and multi-Weyl semimetals
• ISSN: 0953-8984; 1361-648X
• DOI: 10.1088/1361-648X/ad38fa

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 ( and ) 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-|B|terms in set-ups where the tilt-axis is not perpendicular to the plane spanned by and . The advantage of the emergence of the linear-in-|B|terms is that, unlike the various|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 to 2 , when we consider their dependence on the angle between and ; and (2) lead to an overall change in sign of the conductivity depending on , when measured with respect to theB=0case.