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

Abstract: 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 $\pi $ to $2\pi$, when we consider their dependence on the angle $\theta $ between $\mathbf E $ and $\mathbf B $; and (2) lead to an overall change in sign of the conductivity depending on $\theta$, when measured with respect to the $\mathbf B =0$ case

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Edition: [Submitted on 15 Feb 2024 (v1), last revised 4 Apr 2024 (this version, v3)]
• Language: Englisch

Contributors, Places and Time

• Event: Veröffentlichung
• (where): Freiburg
• (who): Universität
• (when): 2024
• Creator: Ghosh, Rahul ; Mandal, Ipsita
• Contributor: Albert-Ludwigs-Universität Freiburg. Freiburg Institute of Advanced Studies

Further information

• DOI: 10.48550/arXiv.2402.10203
• URN: urn:nbn:de:bsz:25-freidok-2463402
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 14.08.2025, 11:00 AM CEST