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

Journal Article · Fri Jan 25 00:00:00 EST 2008 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.100.030404· OSTI ID:21020957

Kun, Yang ^[1]; Hui, Zhai ^[2]

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1. NHMFL and Department of Physics, Florida State University, Tallahassee, Florida 32306 (United States)
2. Center for Advanced Study, Tsinghua University, Beijing, 100084 (China)

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.

• OSTI ID: 21020957
• Journal Information: Physical Review Letters, Vol. 100, Issue 3; Other Information: DOI: 10.1103/PhysRevLett.100.030404; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
FERMIONS
PAIRING INTERACTIONS
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
RESONANCE
S WAVES
STATISTICS
TRAPS