Spintronics: Maxwell-Dirac theory, charge and spin

TL;DR

This paper explores the classical limit of Maxwell-Dirac theory to understand spin and charge currents, proposing a vortex-based model of electron structure that could impact spintronics research.

Contribution

It introduces a vortex-based model of electron structure derived from Maxwell-Dirac theory, linking quantum vortices to spintronics applications.

Findings

Derived vortex solutions for Weyl equation.

Proposed a two-vortex internal structure of electron.

Suggested potential applications in spintronics.

Abstract

The nature of spin current and the separation of charge current and spin current are two of the fundamental questions in spintronics. For this purpose the classical limit of the Maxwell-Dirac theory is investigated in the present contribution. Since the Dirac equation reduces to the Weyl equation for massless particles, a vortex solution is obtained for the Weyl equation and it is argued that mass has stochastic origin. The Weyl vortex is embedded in a Gaussian wavepacket to define physical vortex. Two-vortex internal structure of electron is developed in terms of Weyl and sub-quantum Weyl vortices characterized by $\hbar$ and $f=e^2/2\pi c$ respectively. It is suggested that this model may find application in spintronics with a new perspective.