Magnus Hall Effect In Three-Dimensional Topological Semimetals.

Magnus Hall effect (MHE) is a non-linear Hall effect requiring no external magnetic field, which can be observed when an in-built electric field couples to the Berry curvature of the material, producing a current in the transverse direction. In this paper, we explore MHE in the context of various three-dimensional semimetals, incorporating various features like tilt, anisotropy, and multi-fold degeneracy. We numerically calculate the Magnus Hall conductivities and transport coefficients within the framework of Boltzmann transport theory. Although MHE was originally predicted for two-dimensional materials with time-reversal symmetry (TRS), we show that a finite Hall response is possible in materials without TRS. If TRS is preserved, broken inversion symmetry is needed to prevent the cancellation of Hall contribution over the Brillouin zone. In presence of anisotropic dispersions, we find that the MHE features differ depending on the directions of measurements (as expected), and the amount of tilt also greatly affects the conduction. Our investigations include MHE for multi-fold and nodal line semimetals as well. Our analysis is of great importance for transport measurements in experiments involving non-linear Hall effects.