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

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

2007-09-18

arxiv.org/abs/0709.2934v2

Phys. Rev. Lett. 100, 030404 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

slightly modified version as appeared in print

Scientific paper

10.1103/PhysRevLett.100.030404

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

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