Non-Abelian fractionalization in topological minibands

Abstract

Motivated by the recent discovery of fractional quantum anomalous Hall states in moiré systems, we consider the possibility of realizing non-Abelian phases in topological minibands. We study a family of moiré systems, skyrmion Chern band models, which can be realized in two-dimensional semiconductor-magnet heterostructures and also capture the essence of twisted transition metal dichalcogenide homobilayers. We show using many-body exact diagonalization that, in spite of strong Berry curvature variations in momentum space, the non-Abelian Moore-Read state can be realized at half filling of the second miniband. These results demonstrate the feasibility of non-Abelian fractionalization in moiré systems without Landau levels and shed light on the desirable conditions for their realization. In particular, we highlight the prospect of realizing the Moore-Read state in twisted semiconductor bilayers.

V1: 5 pages, 4 figures. V2: 5 pages, 5 figures. Added exact diagonalization results for twisted MoTe2. V3: 5 pages, 5 figures (main) + 13 pages, 9 figures (SM). Added results on Pfaffian vs anti-Pfaffian V4: Journal version (PRL, Featured in Physics). 5 pages, 5 figures (main) + 13 pages, 11 figures (SM)

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Cited by in corpus (35)

• A Microscopic Perspective on Moiré Materials
• Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2
• 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
• Higher Landau-Level Analogs and Signatures of Non-Abelian States in Twisted Bilayer MoTe${}_2$
• Theory of Generalized Landau Levels and Implication for non-Abelian States
• Variational Mapping of Chern Bands to Landau Levels: Application to Fractional Chern Insulators in Twisted MoTe${}_2$
• Hidden States and Dynamics of Fractional Fillings in tMoTe2 Moiré Superlattices
• Non-Abelian spin Hall insulator
• Minimal Fractional Topological Insulator in half-filled conjugate moiré Chern bands
• Quantum anomalous Hall crystals in moiré bands with higher Chern number
• Non-Abelian Fractional Chern Insulators and Competing States in Flat Moiré Bands
• Observation of Ferromagnetic Phase in the Second Moiré Band of Twisted MoTe2
• Chiral superconductivity from spin polarized Chern band in twisted MoTe${}_2$
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Parafermions in Moiré Minibands
• Topologically protected flatness in chiral moiré heterostructures
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Optical properties, plasmons, and orbital Skyrme textures in twisted TMDs
• Exciton fractional Chern insulators in moiré heterostructures
• Candidate for a Fractional Topological Insulator in Twisted MoTe2
• Quantum phase diagram and non-abelian Moore-Read state in double twisted bilayer graphene
• Topological Order in Neural Wavefunctions
• Transitions from Composite Fermi Liquid to Moore-Read States in Weyl Semimetals
• Charge ordering and spontaneous topological Hall effect in bilayer skyrmion crystals
• Orbital Description of Landau Levels
• Topological Order Without Band Topology in Moiré Graphene
• Exact Parent Hamiltonians for All Landau Level States in a Half-flux Lattice
• Refining Heuristic Predictors of Fractional Chern Insulators using Machine Learning
• Abelian and non-Abelian fractionalized states in twisted MoTe${}_2$: A generalized Landau-level theory
• Exciton-Anyon Binding in Fractional Chern Insulators: Spectral Fingerprints
• Chiral Graviton Modes in Fermionic Fractional Chern Insulators
• Symmetric localization of ${\nu }_{\text{tot}}=4/3$ fractional topological insulator edges
• Robustness of real-space topology in moiré systems
• Quantum melting a Wigner crystal into Hall liquids