Relativistic Quantum State, Geometric Phase and Dissipationless Spin current

TL;DR

This paper demonstrates that the spin current of a Dirac particle is governed by the geometric phase, providing a closed-form expression for its dissipationless nature, linking quantum geometry with spin transport.

Contribution

It introduces a novel connection between geometric phase and dissipationless spin current in Dirac particles, offering a new analytical expression for spin transport.

Findings

Spin current is determined by the geometric phase.

A closed-form expression explains dissipationless spin current.

The work links quantum geometry with spin transport phenomena.

Abstract

Spin current of a Dirac particle is shown to be given by the geometric phase and in terms of the later, a closed form expression is obtained for the dissipationlessness of the spin current.