Quantum Statistics of Vortices from a Dual Theory of the XY Ferromagnet.

Phys Rev Lett

Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218, USA.

Published: April 2020

AI Article Synopsis

  • This text discusses an extension of concepts from easy-plane ferromagnets to a more complex framework involving dynamical and quantum effects in three-dimensional spacetime.
  • It describes how ferromagnetic vortices can be interpreted as quantum particles characterized by a specific electric charge and magnetic flux, corresponding to their vortex number and transverse spin, respectively.
  • Additionally, it notes that vortices with half-integer core spin follow fermionic statistics, which influences their behavior and interactions.

Article 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.

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http://dx.doi.org/10.1103/PhysRevLett.124.157203DOI Listing

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