Multiple Chern bands in twisted MoTe${}_2$ and possible non-Abelian states

Abstract

We investigate the moiré band structures and possible even denominator fractional quantum Hall state in small angle twisted bilayer MoTe${}_2$, using combined large-scale local basis density functional theory calculation and continuum model exact diagonalization. Via large-scale first principles calculations at $\theta =1.89^{\circ }$, we find a sequence of $C=1$(Chern number in K valley)moiré Chern bands, in analogy to Landau levels. By constructing the continuum model with multiple Chern bands, we undertake band-projected exact diagonalization using unscreened Coulomb repulsion to identify possible non-Abelian states near twist angle $\theta =1.89^{\circ }$ at the half filling of second moiré band.

5+4 pages, 4+6 figures. added results about PES,n(k),and many-body Chern number

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Cited by in corpus (26)

• Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2
• 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
• Minimal Fractional Topological Insulator in half-filled conjugate moiré Chern bands
• DPmoire: A tool for constructing accurate machine learning force fields in moiré systems
• Non-Abelian Fractional Chern Insulators and Competing States in Flat Moiré Bands
• Observation of Ferromagnetic Phase in the Second Moiré Band of Twisted MoTe2
• Quantum anomalous Hall crystals in moiré bands with higher Chern number
• Chiral superconductivity from spin polarized Chern band in twisted MoTe${}_2$
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Electromagnetic response and emergent topological orders in transition metal dichalcogenide MoTe${}_2$ bilayers
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Exciton fractional Chern insulators in moiré heterostructures
• Review of the tight-binding method applicable to the properties of moiré superlattices
• Candidate for a Fractional Topological Insulator in Twisted MoTe2
• Quantum phase diagram and non-abelian Moore-Read state in double twisted bilayer graphene
• Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe${}_2$
• Abelian and non-Abelian fractionalized states in twisted MoTe${}_2$: A generalized Landau-level theory
• Exciton-Anyon Binding in Fractional Chern Insulators: Spectral Fingerprints
• Symmetric localization of ${\nu }_{\text{tot}}=4/3$ fractional topological insulator edges
• Robustness of real-space topology in moiré systems
• Three-dimensional flat bands and possible interlayer triplet pairing superconductivity in the alternating twisted NbSe${}_2$ moiré bulk
• Pressure-Tunable Generalized Wigner Crystal and Fractional Chern Insulator in twisted MoTe${}_2$
• Exact Parent Hamiltonians for All Landau Level States in a Half-flux Lattice
• Topological Order Without Band Topology in Moiré Graphene
• Orbital Description of Landau Levels