Spin-dependent inertial force and spin current in accelerating systems

TL;DR

This paper derives the spin-dependent inertial force in accelerating systems, showing how linear acceleration can generate spin currents via spin-orbit interaction, with implications for spintronics.

Contribution

It introduces a covariant derivation of inertial spin forces and demonstrates how mechanical vibrations induce spin currents through acceleration-enhanced spin-orbit coupling.

Findings

Inertial effects can be interpreted as effective electric fields.

High-frequency vibrations can generate spin currents.

Spin currents are evaluated in ballistic and diffusive regimes.

Abstract

The spin-dependent inertial force in an accelerating system under the presence of electromagnetic fields is derived from the generally covariant Dirac equation. Spin currents are evaluated by the force up to the lowest order of the spin-orbit coupling in both ballistic and diffusive regimes. We give an interpretation of the inertial effect of linear acceleration on an electron as an effective electric field and show that mechanical vibration in a high frequency resonator can create a spin current via the spin-orbit interaction augmented by the linear acceleration.