ABSTRACT

We propose the linear and nonlinear anomalous planar Hall effect (APHE) in tilted Weyl semimetals in the presence of an in-plane magnetic and electric field, where the field-induced Berry connection plays a key role. The conductivity of linear APHE is ascribed to the quantum metric and is antisymmetric in nature, distinct from the well-known chiral anomaly induced PHE arising from the Berry curvature. Using a tilting vector to describe the model, we demonstrate the constrains on the linear and nonlinear APHE by the tilting directions. The linear APHE is intrinsic that is determined by the topological properties of energy bands, whereas the nonlinear APHE is extrinsic. The predicted linear and nonlinear APHE are inherently different from others and may shed light on a deeper understanding on transport nature of the tilted Weyl semimetals.