Magnetotransport of Weyl semimetals with tilted Dirac cones

TL;DR

This paper investigates how tilting the Dirac cones in Weyl semimetals affects their magnetotransport properties, revealing new transverse conductivities and a planar Hall effect due to tilt.

Contribution

It provides an analytical expression for magnetoconductivity in tilted Weyl semimetals and predicts novel tilt-induced transverse currents.

Findings

Planar Hall current scales linearly with tilt parameter.

Tilt induces transverse conductivity even with parallel electric and magnetic fields.

Analytical magnetoconductivity expression derived for small tilt limit.

Abstract

Weyl semimetals (WSM) exhibit chiral anomaly in their magnetotransport due to broken conservation laws. Here, we analyze the magnetotransport of WSM in the presence of the time-reversal symmetry-breaking tilt parameter. The analytical expression for the magnetoconductivity is derived in the small tilt limit using the semiclassical Boltzmann equation. We predict a planar Hall current which flows transverse to the electric field and in the plane containing magnetic and electric fields and scales linearly with the tilt parameter. A tilt-induced transverse conductivity is also present in the case where the electric and magnetic fields are parallel to each other, a scenario where the conventional Hall current completely vanishes.