title: Global phase diagram of the fractional quantum Hall effect arising from repulsive three-body interactions.
abstract: The model of fermions in a magnetic field interacting via a purely three-body repulsive interaction has attracted interest because it produces, in the limit of short range interaction, the Pfaffian state with non-Abelian excitations. We show that this is part of a 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 breakthroughs in ultracold atoms have facilitated the realization of such a system, where this physics can be tested.
authors.affiliation: TCM Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom.
authors.forename: Arkadiusz
authors.initials: A
authors.lastname: Wójs
authors.forename: Csaba
authors.initials: C
authors.lastname: Toke
authors.forename: Jainendra K
authors.initials: JK
authors.lastname: Jain