Quantum statistics of vortices from a dual theory of the XY ferromagnet

Abstract

We extend the well-known mapping between the easy-plane ferromagnet and electrostatics in $d=2$ spatial dimensions to dynamical and quantum phenomena in a $d=2+1$ spacetime. Ferromagnetic vortices behave like quantum particles with an electric charge equal to the vortex number and a magnetic flux equal to the transverse spin of the vortex core. Vortices with half-integer core spin exhibit fermionic statistics.

arXiv comment5 pages + Supplemantal information, 1 figure version 3, accepted in Phys. Rev. Lett

References in corpus (6)

• Interface-Induced Phenomena in Magnetism
• Magnon modes and magnon-vortex scattering in two-dimensional easy-plane ferromagnets
• Conserved momenta of a ferromagnetic soliton
• Quantum Skyrmions in Two-Dimensional Chiral Magnets
• Energy-momentum tensor of a ferromagnet
• Noncommuting Momenta of Topological Solitons

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