The low energy Dirac and Weyl spectra are allowed to violate the Lorentz symmetry and thereby have a tilted energy dispersion. The tilt in the energy dispersion induces a Hall voltage in the plane spanned by the electric field and the tilt velocity. In the presence of a magnetic field the planar Hall conductivity and resistivity show Shubnikov de Haas oscillations. The oscillations in the planar Hall effect can become a fingerprint to spot the anomalous transport in Dirac and Weyl semimetals.
@article{arxiv.1905.03815,
title = {Exploiting the violation of Lorentz symmetry for the planar Hall effect},
author = {Muhammad Imran and Selman Hershfield},
journal= {arXiv preprint arXiv:1905.03815},
year = {2019}
}