  Starting from an action that describes a Dirac fermion, we propose and
analyze a model based on a low-relativistic Pauli equation coupled to a
torsion-like term to study Spin Hall Effect (SHE). We point out a very
particular connection between the modified Pauli equation and the (SHE), where
what we refer to torsion as field playing an important r\^ole in the spin-orbit
coupling process. In this scenario, we present a proposal of a spin-type
current, considering the tiny contributions of torsion in connection with
geometrical properties of the material.
