Effects of mechanical rotation on spin currents

TL;DR

This paper investigates how mechanical rotation influences spin currents by deriving the spin-orbit interaction in a rotating frame and showing that rotation induces a circular spin current through coupled cyclotron motions.

Contribution

It introduces an explicit form of spin-orbit interaction incorporating inertial effects of rotation and derives wavepacket equations demonstrating rotation-induced spin currents.

Findings

Circular spin current is generated by mechanical rotation.

Electron wavepackets exhibit superposed cyclotron motions with different frequencies.

The study provides a theoretical framework linking rotation and spin transport phenomena.

Abstract

We study the Pauli--Schr\"odinger equation in a uniformly rotating frame of reference to describe a coupling of spins and mechanical rotations. The explicit form of the spin-orbit interaction (SOI) with the inertial effects due to the mechanical rotation is presented. We derive equations of motion for a wavepacket of electrons in two-dimensional planes subject to the SOI. The solution is a superposition of two cyclotron motions with different frequencies and a circular spin current is created by the mechanical rotation.