Quantum Statistics of Vortices from a Dual Theory of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:math> Ferromagnet
Sayak Dasgupta, Shu Zhang, Ibrahima Bah, Oleg Tchernyshyov
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.
Topics & Concepts
PhysicsVortexSpin (aerodynamics)Charge (physics)Magnetic flux quantumQuantumFerromagnetismPlane (geometry)Magnetic fluxQuantum mechanicsCondensed matter physicsMathematical physicsMagnetic fieldGeometryMathematicsThermodynamicsBlack Holes and Theoretical PhysicsMagnetic properties of thin filmsQuantum and electron transport phenomena