Side-jump induced spin-orbit interaction of chiral fluids from kinetic theory

We apply the Wigner-function approach and chiral kinetic theory to investigate the angular momentum and polarization of chiral fluids composed of Weyl fermions with background electric/magnetic fields and vorticity. It is found that the quantum corrections in Wigner functions give rise to nonzero an...

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Bibliographic Details
Published in:Physical review. D 2018-10, Vol.98 (7), p.076019, Article 076019
Main Author: Yang, Di-Lun
Format: Article
Language:English
Subjects:
Angular momentum
Chemical potential
Conservation laws
Fermions
Kinetic theory
Organic chemistry
Potential gradient
Spin-orbit interactions
Tensors
Vorticity
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Summary:We apply the Wigner-function approach and chiral kinetic theory to investigate the angular momentum and polarization of chiral fluids composed of Weyl fermions with background electric/magnetic fields and vorticity. It is found that the quantum corrections in Wigner functions give rise to nonzero antisymmetric components in the canonical energy-momentum tensors, which are responsible for the spin-orbit interaction. In global equilibrium, conservation of the canonical angular momentum reveals the cancellation between the orbital component stemming from side jumps with nonzero vorticity and the spin component in the presence of an axial chemical potential. We further analyze the conservation laws near local equilibrium. It turns out that the canonical angular momentum is no longer conserved even in the absence of background fields due to the presence of a local torque coming from the spin-orbit interaction involving temperature/chemical-potential gradients, which is implicitly led by collisions.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.98.076019