Fractional Chern Insulator in Twisted Bilayer MoTe${}_2$

Abstract

A recent experiment has reported the first observation of a zero-field fractional Chern insulator (FCI) phase in twisted bilayer MoTe${}_2$ moiré superlattices [Nature 622, 63-68 (2023)]. The experimental observation is at an unexpected large twist angle 3.7${}^{\circ }$ and calls for a better understanding of the FCI in real materials. In this work, we perform large-scale density functional theory calculation for the twisted bilayer MoTe${}_2$, and find that lattice reconstruction is crucial for the appearance of an isolated flat Chern band. The existence of the FCI state at $\nu =-2/3$ are confirmed by exact diagonalization. We establish phase diagrams with respect to the twist angle and electron interaction, which reveal an optimal twist angle of $3.5^{\circ }$ for the observation of FCI. We further demonstrate that an external electric field can destroy the FCI state by changing band geometry and show evidence of the $\nu =-3/5$ FCI state in this system. Our research highlights the importance of accurate single particle band structure in the quest for strong correlated electronic states and provides insights into engineering fractional Chern insulator in moiré superlattices.

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• Tunable moiré materials for probing Berry physics and topology
• Non-Abelian fractionalization in topological minibands
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• Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2
• Transfer learning relaxation, electronic structure and continuum model for twisted bilayer MoTe${}_2$
• Quantum anomalous Hall crystal at fractional filling of moiré superlattices
• 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
• Chiral limit and origin of topological flat bands in twisted transition metal dichalcogenide homobilayers
• Higher Landau-Level Analogs and Signatures of Non-Abelian States in Twisted Bilayer MoTe${}_2$
• Adiabatic Approximation and Aharonov-Casher Bands in Twisted Homobilayer TMDs
• Moiré Fractional Chern Insulators III: Hartree-Fock Phase Diagram, Magic Angle Regime for Chern Insulator States, the Role of the Moiré Potential and Goldstone Gaps in Rhombohedral Graphene Superlattices
• A 2D van der Waals Material for Terahertz Emission with Giant Optical Rectification
• Intertwined fractional quantum anomalous Hall states and charge density waves
• Gate-tunable antiferromagnetic Chern insulator in twisted bilayer transition metal dichalcogenides
• Theory of Generalized Landau Levels and Implication for non-Abelian States
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• Variational Mapping of Chern Bands to Landau Levels: Application to Fractional Chern Insulators in Twisted MoTe${}_2$
• Quantum Geometric Kohn-Luttinger Superconductivity
• Thermodynamic Response and Neutral Excitations in Integer and Fractional Quantum Anomalous Hall States Emerging from Correlated Flat Bands
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• Hidden States and Dynamics of Fractional Fillings in tMoTe2 Moiré Superlattices
• Self-consistent theory for the fractional quantum anomalous Hall effect in rhombohedral pentalayer graphene
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• Fractional Chern Insulators in Twisted Bilayer MoTe${}_2$: A Composite Fermion Perspective
• Quantum Geometry and Stabilization of Fractional Chern Insulators Far from the Ideal Limit
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• Contrasting twisted bilayer graphene and transition metal dichalcogenides for fractional Chern insulators: an emergent gauge picture
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• Quantum Geometry Probed by Chiral Excitonic Optical Response of Chern Insulators
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• A New Moiré Platform Based on M-Point Twisting
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• Hofstadter spectrum of Chern bands in twisted transition metal dichalcogenides
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• DPmoire: A tool for constructing accurate machine learning force fields in moiré systems
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• Dynamical Chiral Nernst Effect in Twisted Van der Waals Few Layers
• Single-particle spectral function of fractional quantum anomalous Hall states
• Quantum anomalous, spin, and valley Hall effects in pentalayer rhombohedral graphene moiré superlattices
• Broken Symmetry in Ideal Chern Bands
• Optical Switching of Moiré Chern Ferromagnet
• Reentrant topological phases and spin density wave induced by 1D moiré potentials
• Inducing topological flat bands in bilayer graphene with electric and magnetic superlattices
• Moiré Band Engineering in Twisted Trilayer WSe2
• Ferromagnetic semimetal and charge-density wave phases of interacting electrons in a honeycomb moiré potential
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• Compressible quantum liquid with vanishing Drude weight
• A Novel Perspective on Ideal Chern Bands with Strong Short-Range Repulsion: Applications to Correlated Metals, Superconductivity, and Topological Order
• Reentrant topological phases and entanglement scalings in moiré-modulated extended Su-Schrieffer-Heeger Model
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• Understanding Disorder in Monolayer Graphene Devices with Gate-Defined Superlattices
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
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• Quantum mechanics of composite fermions
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• Quantum metric driven transition between superfluid and incoherent fluid
• Effective K valley Hamiltonian for TMD bilayers under pressure and application to twisted bilayers with pressure-induced topological phase transitions
• Optical signatures of -1/3 fractional quantum anomalous Hall state in twisted MoTe2
• Orbital Description of Landau Levels
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• Probing the Quantum Geometry of Correlated Metals using Optical Conductivity
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