Boson-vortex-Skyrmion duality, spin-singlet fractional quantum Hall effect, and spin-1/2 anyon superconductivity
Dung-Hai Lee, Charles L. Kane
DOI 10.1103/PhysRevLett.64.1313 · Physical Review Letters
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Abstract
In two space dimensions we generalize the boson-vortex duality picture for spinless particles to boson-vortex-Skyrmion duality for spin-1/2 particles. The spin-singlet fractional quantum Hall effect and spin-singlet anyon superconductivity can be understood as the condensation of vortices and Skyrmions into various fractional quantum Hall states.
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