# Exploiting the violation of Lorentz symmetry for the planar Hall effect

## TL;DR

This paper explores how Lorentz symmetry violation in Dirac and Weyl semimetals leads to a tilted energy dispersion, inducing a planar Hall effect with oscillations that serve as a signature of anomalous transport.

## Contribution

It demonstrates that Lorentz symmetry violation causes a tilt in energy dispersion, resulting in a measurable planar Hall effect with characteristic oscillations in Dirac and Weyl semimetals.

## Key findings

- Tilted energy dispersion induces planar Hall voltage.
- Shubnikov de Haas oscillations appear in the Hall conductivity.
- Oscillations can serve as fingerprints for anomalous transport.

## Abstract

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.