Eddy magnetization from the chiral Barnett effect

TL;DR

This paper explores how rotating chiral fermions exhibit a non-zero eddy magnetic moment due to the chiral Barnett effect, highlighting the interplay between spin polarization and orbital angular momentum in kinetic theory.

Contribution

It introduces the concept of the eddy magnetic moment in chiral fermions and demonstrates its origin from the g-factors, expanding understanding of chiral magnetic phenomena.

Findings

Finite circular spin polarization induced by spin-momentum correlation.

Cancellation of spin polarization by orbital angular momentum change.

Nonvanishing eddy magnetic moment due to g-factors.

Abstract

We discuss the spin, the angular momentum, and the magnetic moment of rotating chiral fermions using a kinetic theory. We find that, in addition to the chiral vortical contribution along the rotation axis, finite circular spin polarization is induced by the spin-momentum correlation of chiral fermions, which is canceled by a change in the orbital angular momentum. We point out that the eddy magnetic moment is nonvanishing due to the $g$-factors, exhibiting the chiral Barnett effect.