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

Abstract

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.

slightly modified version as appeared in print

References in corpus (5)

• "Deconfined" quantum critical points
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Critical Rotational Frequency for Superfluid Fermionic Gases across a Feshbach Resonance
• Density waves and supersolidity in rapidly rotating atomic Fermi gases
• Superfluid transition in a rotating resonantly-interacting Fermi gas

Cited by in corpus (16)

• Rapidly Rotating Atomic Gases
• Interaction Driven Quantum Phase Transitions in Fractional Topological Insulators
• Topological Phase Transition in the Hofstadter-Hubbard Model
• Creating a bosonic fractional quantum Hall state by pairing fermions
• s-wave Cooper pair insulators and theory of correlated superconductors
• A new series of 3D CFTs with $\mathrm{Sp}(N)$ global symmetry on fuzzy sphere
• Existence of strong-pairing quantum Hall phase in bilayer cold atom systems with dipolar interactions
• Two-dimensional fermionic superfluids, pairing instability and vortex liquids in the absence of time reversal symmetry
• Interaction and filling-induced quantum anomalous Hall effect in ultra-cold neutral Bose-Fermi mixture on hexagonal lattice
• Pairing in ultracold Fermi gases in the lowest Landau level
• Chiral topological states in Bose-Fermi mixtures
• Topological Quantum Phase Transition from Fermionic Integer Quantum Hall Phase to Bosonic Fractional Quantum Hall Phase through P-Wave Feshbach Resonance
• Fractionalization via ${\mathbb{Z}}_2$ Gauge Fields at a Cold Atom Quantum Hall Transition
• Topological phase transition in a two-species fermion system: Effects of a rotating trap potential or a synthetic gauge field
• Evidence of a first-order quantum phase transition of excitons in electron double layers
• Crossover from Integer to Fractional Quantum Hall Effect