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

Sayak Dasgupta; Shu Zhang; Ibrahima Bah; Oleg Tchernyshyov

doi:10.1103/physrevlett.124.157203

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arXiv · 1909.05248

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

Sayak Dasgupta·Shu Zhang·Ibrahima Bah·Oleg Tchernyshyov

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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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Sayak Dasgupta, Shu Zhang, Ibrahima Bah, Oleg Tchernyshyov. 2020-04-03. Quantum statistics of vortices from a dual theory of the XY ferromagnet. https://doi.org/10.1103/physrevlett.124.157203

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