Fractional quantum Hall effect arising from repulsive three body interaction

Abstract

We consider a collection of fermions in a strong magnetic field coupled by a purely three body repulsive interaction, and predict the formation of composite fermions, leading to a remarkably rich phase diagram containing a host of fractional quantum Hall states, a composite fermion Fermi sea, and a pairing transition. This is entirely unexpected, because the appearance of composite fermions and fractional quantum Hall effect is ordinarily thought to be a result of strong two-body repulsion. Recent theoretical and experimental breakthroughs in ultra-cold atoms and molecules have facilitated the realization of such a system, where this physics can be tested.

4 pages, 4 figures

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• Higher Landau-Level Analogs and Signatures of Non-Abelian States in Twisted Bilayer MoTe${}_2$
• Surprising robustness of particle-hole symmetry for composite fermion liquids
• Bilayer mapping of the paired quantum Hall state: Instability toward anisotropic pairing
• Emergent Fermi sea in a system of interacting bosons
• Tunable three-body loss in a nonlinear Rydberg medium
• Probing the spin states of three interacting electrons in quantum dots
• Triplet Superfluidity on a triangular ladder with dipolar fermions
• Mean field approximations for short range four body interactions at $\nu =3/5$