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Global Phase Diagram of the Fractional Quantum Hall Effect Arising from Repulsive Three-Body Interactions

2010/05/30 by Arkadiusz Wojs, Arkadiusz Wójs, Csaba Tőke +3 · 18 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Composite fermion #Condensed matter physics #Fermion #Fractional quantum Hall effect #Magnetic field #Pairing #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum spin Hall effect #Superconductivity #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.105.196801

published in Physical Review Letters 105(19), 196801 (American Physical Society) · 4 pages, 4 figures

arxiv created 2010/05/30 · openalex publication_date 2010/11/05 · arxiv updated 2015/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations