  Non-linear transport effects in response to external magnetic fields, i.e.
electrical magnetochiral anisotropy (eMChA), have attracted much attention for
their importance to study quantum and spin-related phenomena. Indeed, they have
permitted the exploration of topological surface states and charge-to-spin
conversion processes in low-symmetry systems. Nevertheless, despite the
inherent correlation between the symmetry of the material under examination and
its non-linear transport characteristics, there is a lack of experimental
demonstration to delve into this relationship and to unveil their microscopic
mechanisms. Here, we study eMChA in chiral elemental Tellurium (Te) along
different crystallographic directions, establishing the connection between the
different eMChA components and the crystal symmetry of Te. We observed
different longitudinal eMChA components with collinear current and magnetic
field, demonstrating experimentally the radial angular momentum texture of Te.
We also measured a transverse non-linear resistance which, as the longitudinal
counterpart, scales bilinearly with current and magnetic fields, illustrating
that they are different manifestations of the same effect. Finally, we study
the scaling law of the eMChA, evidencing that extrinsic scattering from dynamic
sources is the dominant microscopic mechanism. These findings underscore the
efficacy of symmetry-based investigations in understanding and predicting
non-linear transport phenomena, with potential applications in spintronics and
energy harvesting.
