旋转势阱中费米子费什巴赫共振附近的量子霍尔跃迁
Quantum Hall Transition near a Fermion Feshbach Resonance in a Rotating Trap
摘要：
我们考虑两个物种的费米子在一个旋转的陷阱，通过s波费什巴赫共振相互作用，在总朗道能级填充因子2（或一个为每个物种）。研究表明，随着对相互作用强度的增加，系统经历了从费米子整数量子Hall态到玻色子分数量子Hall态的量子相变，相变发生在共振附近.跃迁的有效场论被证明是一个耦合到陈-西蒙斯规范场的（出射）无质量相对论玻色子场，耦合产生出射粒子的半离子统计。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
