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Quantum statistics of vortices from a dual theory of the XY ferromagnet (1909.05248v3)
Published 11 Sep 2019 in cond-mat.mes-hall, cond-mat.stat-mech, and hep-th
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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