Novel Planar Hall Effect in Tilted Weyl Semimetals

In addition to the chiral anomaly, the planar Hall effect has been proposed in the magnetotransport of the Weyl semimetals. We investigate the transport of the tilted Weyl semimetals semiclassically in an in-plane magnetic field. The results show that the longitudinal and the Hall conductivities in this system each has a linear term in magnetic field besides the quadratic terms and the angular dependence of them are different from the case without the tilt. The unusual magnetotransport is induced by the Berry curvature, either through the axial chemical potential or the anomalous velocity. The correction of the phase space volume factor is also presented, which has effects on both the angular and the magnetic field dependence of the conductivities.