  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 bandstructure, 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
conductivity tensors and transport coefficients, within the framework of the
Boltzmann transport theory. Although MHE was originally predicted for
two-dimensional materials with time-reversal symmetry (TRS), we show that a
finite MHE response is possible in materials without TRS. If TRS is preserved,
broken inversion symmetry is needed to prevent the cancellation of the MHE
contributions while summing over the Brillouin zone. The amount of tilt of the
node of a semimetal greatly affects the transport coefficients. In presence of
anisotropic dispersions, we find that the MHE features differ depending on the
directions of measurements (as expected). To demonstrate these dependencies,
our investigations include Weyl, multi-Weyl, multi-fold, and nodal-line
semimetals. Our analysis is of great importance for transport measurements in
experiments involving non-linear Hall effects.
