Planar Hall effect in tilted Weyl semimetals

Abstract

In the semiclassical regime, the chiral anomaly of the Weyl semimetals is demonstrated by the quadratic longitudinal magnetoconductivity. Recently the planar Hall effect is proposed in the same systems, where the Hall conductivity depends quadratically on the magnetic field. If the Weyl cones are tilted, both the chiral chemical potential and the anomalous velocity contribute a linear term to the conductivities. We investigate the electronic transport of a tilted Weyl semimetal in the presence of an in-plane magnetic field. The results show that both the longitudinal and the Hall conductivities contain a linear term in magnetic field besides the quadratic terms and the angular dependence of them is different from the case without tilting. The correction of the phase space volume factor is also studied, which shows effects on both the angular dependence as well as the amplitudes of the conductivities. The angular dependence of the conductivities, showing the signature of the planar Hall effect, is experimentally verifiable.