Exploiting the violation of Lorentz symmetry for the planar Hall effect

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.

References in corpus (5)

• Angle dependence of the orbital magnetoresistance in bismuth
• Tilted disordered Weyl semimetals
• Transversal magnetoresistance and Shubnikov-de Haas oscillations in Weyl semimetals
• Anisotropic chiral magnetic effect from tilted Weyl cones
• Superexchange interactions between spin-orbit-coupled $j\approx 1/2$ ions in oxides with face-sharing ligand octahedra