Collapse of Landau levels in tilted Weyl semimetals and its detection via the planar Hall effect
Phys. Rev. B 112, 035170 – Published 28 July, 2025
DOI: https://doi.org/10.1103/3kpp-bttl
Abstract
The planar Hall effect (PHE) is a powerful tool for characterizing Weyl semimetals (WSMs). Here, we investigate the PHE in general anisotropic WSMs under strong magnetic fields. We analytically derive the Landau levels (LLs) and their wavefunctions using the Bogoliubov transformation, where the tilt vector, the anisotropic axis of the Fermi velocity, and the magnetic field can be oriented in arbitrary directions. Notably, as a result of the interaction with the magnetic field and the anisotropy of the Fermi velocity, the component of the tilt vector perpendicular to the magnetic field can induce a tilt in the LLs parallel to the magnetic field. Our analytical results show that the LLs do not collapse in type-I WSMs but must collapse in type-II WSMs when the magnetic field is perpendicular to the tilt vector. More importantly, we demonstrate that the magnetotransport signal of the LL collapse, which manifests as a significant enhancement and quantum oscillations in the longitudinal and planar Hall conductivities simultaneously, can be used to identify the phase transition from type-I to type-II WSMs.