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We consider two-species of fermions in a rotating trap that interact via ans-wave Feshbach resonance, at total Landau level filling factor two (or one foreach species). We show that the system undergoes a quantum phase transitionfrom a fermion integer quantum Hall state to a boson fractional quantum Hallstate as the pairing interaction strength increases, with the transitionoccurring near the resonance. The effective field theory for the transition isshown to be that of a (emergent) massless relativistic bosonic field coupled toa Chern-Simons gauge field, with the coupling giving rise to semionicstatistics to the emergent particles.

Quantum Hall Transition near a Fermion Feshbach Resonance in a Rotating Trap