On the Role of a Torsion-like Field in a Scenario for the Spin Hall Effect

TL;DR

This paper introduces a theoretical model linking a torsion-like field to the spin Hall effect, highlighting its role in spin-orbit coupling and proposing a new spin current concept influenced by torsion.

Contribution

It develops a novel low-relativistic Pauli equation model incorporating torsion to explain the spin Hall effect and suggests a new spin current mechanism based on geometric torsion effects.

Findings

Torsion-like field influences spin-orbit coupling in the model.

Proposes a new spin current related to torsion contributions.

Connects geometrical properties of materials with torsion effects.

Abstract

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.