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

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.

preprint2020arXivOpen access
Sayak DasguptaShu ZhangIbrahima BahOleg Tchernyshyov
cond-mat.stat-mechcond-mat.mes-hallhep-th
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Sayak DasguptaShu ZhangIbrahima BahOleg Tchernyshyov

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