Fermionic non-Abelian fractional Chern insulators from dipolar interactions

Abstract

We study fermions on a triangular lattice model that exhibits topological flatbands characterized by nonzero Chern numbers. Our scheme stems from the well-known Hofstadter model but the next-nearest-neighbor hopping is introduced, which is crucial for tuning the lowest band to be nearly flat. Differing from previous proposals with the necessity of multiparticle interactions, we consider the more realistic long-range dipolar interaction combined with two-body short-range attractions between fermions. We show the realization of the non-Abelian $\nu =1/2$ Moore-Read fractional Chern insulators, and strong evidence for the existence of the more exotic $\nu =3/5$ Read-Rezayi fractional Chern insulators. Our results provide insights for the experimental realization of these exotic states by realistic two-body interactions and thus facilitates the implementation of the universal topological quantum computation.

5+pages, 6 figures, published version

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Cited by in corpus (8)

• Fibonacci anyons and charge density order in the 12/5 and 13/5 plateaus
• Non-Abelian fractionalization in topological minibands
• Non-Abelian Fractional Quantum Anomalous Hall States and First Landau Level Physics in Second Moiré Band of Twisted Bilayer MoTe2
• Multiple Chern bands in twisted MoTe${}_2$ and possible non-Abelian states
• Intertwined Order in Fractional Chern Insulators from Finite-Momentum Pairing of Composite Fermions
• Non-Abelian Fractional Chern Insulator in Disk Geometry
• Non-Abelian Fractional Chern Insulators and Competing States in Flat Moiré Bands
• Parafermions in Moiré Minibands