Spontaneous fractional Chern insulators in transition metal dichalcogenides Moire superlattices

Abstract

Moir{é} superlattice realized in two-dimensional heterostructures offers an exciting platform to access strongly-correlated electronic states. In this work, we study transition metal dichalcogenides (TMD) Moir{é} superlattices with time-reversal-symmetry and nontrivial spin{/valley}-Chern numbers. Utilizing realistic material parameters and the method of exact diagonalization, we find that at a certain twisting angle and fractional filling, gapped fractional topological states, i.e., fractional Chern insulators, are naturally {stabilized} by simply introducing the Coulomb repulsion. In contrast to fractional quantum Hall systems, where the time-reversal symmetry has to be broken explicitly, these fractional states break the time-reversal symmetry spontaneously. {We show that the Chern number contrasting in the opposite valleys imposes a strong constraint on the nature of fractional Chern insulator and the associated low energy excitations.} We also propose to realize the non-abelian Moore-Read state in TMD Moir{é} superlattice sandwiched between nonlinear dielectric media.

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Cited by in corpus (105)

• Signatures of Fractional Quantum Anomalous Hall States in Twisted MoTe2 Bilayer
• Observation of Fractionally Quantized Anomalous Hall Effect
• Integer and fractional Chern insulators in twisted bilayer MoTe2
• Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
• Fractional Chern Insulator in Twisted Bilayer MoTe${}_2$
• Fractional quantum anomalous Hall states in twisted bilayer MoTe${}_2$ and WSe${}_2$
• Anomalous Hall metal and fractional Chern insulator in twisted transition metal dichalcogenides
• Programming Correlated Magnetic States via Gate Controlled Moiré Geometry
• Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe${}_2$
• Magic Angles and Fractional Chern Insulators in Twisted Homobilayer TMDs
• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene I: Interaction-Driven Chern Bands and Fractional Quantum Hall States at Zero Magnetic Field
• Zero-field composite Fermi liquid in twisted semiconductor bilayers
• Theory of quantum anomalous Hall phases in pentalayer rhombohedral graphene moiré structures
• Topological and stacked flat bands in bilayer graphene with a superlattice potential
• Maximally Localized Wannier Orbitals, Interaction Models and Fractional Quantum Anomalous Hall Effect in Twisted Bilayer MoTe2
• Pressure--enhanced fractional Chern insulators in moiré transition metal dichalcogenides along a magic line
• Quantum geometry in condensed matter
• Origin of Model Fractional Chern Insulators in All Topological Ideal Flatbands: Explicit Color-entangled Wavefunction and Exact Density Algebra
• Tunable moiré materials for probing Berry physics and topology
• Non-Abelian fractionalization in topological minibands
• Interaction-driven topological phase diagram of twisted bilayer MoTe${}_2$
• Band mixing in the quantum anomalous Hall regime of twisted semiconductor bilayers
• Excitonic Mott insulator in a Bose-Fermi-Hubbard system of moiré ${\mathrm{WS}}_2$/${\mathrm{WSe}}_2$ heterobilayer
• Topological Lattice Models with Constant Berry Curvature
• 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
• Phase transitions out of quantum Hall states in moiré materials
• Non-Abelian Fractional Quantum Anomalous Hall States and First Landau Level Physics in Second Moiré Band of Twisted Bilayer MoTe2
• Progress and Prospects in Two-Dimensional Magnetism of van der Waals Materials
• 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${}_2$
• Adiabatic Approximation and Aharonov-Casher Bands in Twisted Homobilayer TMDs
• Exciton Proliferation and Fate of the Topological Mott Insulator in a Twisted Bilayer Graphene Lattice Model
• Recent Developments in Fractional Chern Insulators
• Superconductivity and bosonic fluid emerging from Moiré flat bands
• Massive Dirac fermions in moiré superlattices: a route towards topological flat minibands
• Intertwined fractional quantum anomalous Hall states and charge density waves
• Thermodynamic characteristic for correlated flat-band system with quantum anomalous Hall ground state
• Gate-tunable antiferromagnetic Chern insulator in twisted bilayer transition metal dichalcogenides
• Theory of Generalized Landau Levels and Implication for non-Abelian States
• Topological bound on structure factor
• Variational Mapping of Chern Bands to Landau Levels: Application to Fractional Chern Insulators in Twisted MoTe${}_2$
• Halperin States of Particles and Holes in Ideal Time Reversal Invariant Pairs of Chern Bands and The Fractional Quantum Spin Hall Effect in Moiré MoTe${}_2$
• Thermodynamic Response and Neutral Excitations in Integer and Fractional Quantum Anomalous Hall States Emerging from Correlated Flat Bands
• Higher vortexability: zero field realization of higher Landau levels
• Evolution from quantum anomalous Hall insulator to heavy-fermion semimetal in magic-angle twisted bilayer graphene
• Self-consistent theory for the fractional quantum anomalous Hall effect in rhombohedral pentalayer graphene
• Nearly flat Chern band in periodically strained monolayer and bilayer graphene
• Fractional Chern Insulators in Twisted Bilayer MoTe${}_2$: A Composite Fermion Perspective
• Multiferroicity and Topology in Twisted Transition Metal Dichalcogenides
• Strong-coupling phases of trions and excitons in electron-hole bilayers at commensurate densities
• Contrasting twisted bilayer graphene and transition metal dichalcogenides for fractional Chern insulators: an emergent gauge picture
• Designing topology and fractionalization in narrow gap semiconductor films via electrostatic engineering
• Orbital Chern Insulator at $\nu =-2$ in Twisted MoTe${}_2$
• Integer and fractional quantum anomalous Hall effects in pentalayer graphene
• Experimental signature of layer skyrmions and implications for band topology in twisted WSe2 bilayers
• Floquet engineering of topological phase transitions in quantum spin Hall $\alpha$-$T_3$ system
• Spinon pairing induced by chiral in-plane exchange and the stabilization of odd-spin Chern number spin liquid in twisted ${\mathrm{MoTe}}_2$
• Non-Abelian spin Hall insulator
• Solving and visualizing fractional quantum Hall wavefunctions with neural network
• Topological quantum phase transitions driven by a displacement field in the twisted MoTe2 bilayers
• Intraband collective excitations in fractional Chern insulators are dark
• Hofstadter spectrum of Chern bands in twisted transition metal dichalcogenides
• Proximity-driven ferromagnetism and superconductivity in the triangular Rashba-Hubbard model
• Attractive Haldane bilayers for trapping non-Abelian anyons
• Quantum-metric-induced quantum Hall conductance inversion and reentrant transition in fractional Chern insulators
• Non-Abelian Fractional Chern Insulators and Competing States in Flat Moiré Bands
• A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
• Single-particle spectral function of fractional quantum anomalous Hall states
• Quantum anomalous Hall crystals in moiré bands with higher Chern number
• Broken Symmetry in Ideal Chern Bands
• On the zero-field quantization of the anomalous quantum Hall effect in moiré 2D layers
• Moiré Band Engineering in Twisted Trilayer WSe2
• Reentrant topological phases and spin density wave induced by 1D moiré potentials
• Optical Switching of Moiré Chern Ferromagnet
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• Chiral superconductivity from spin polarized Chern band in twisted MoTe${}_2$
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$
• Compressible quantum liquid with vanishing Drude weight
• Low-energy optical absorption in correlated insulators: Projected sum rules and the role of quantum geometry
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Edge-driven transition between extended quantum anomalous Hall crystal and fractional Chern insulator in rhombohedral graphene multilayers
• Parafermions in Moiré Minibands
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• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
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• Generic integer and fractional quantum anomalous Hall crystals from interaction-driven band folding
• Non-Abelian Chern band in rhombohedral graphene multilayers
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• Ordering the topological order in the fractional quantum Hall effect
• Topological Order in Neural Wavefunctions
• Unconventional Fractional Phases in Multi-Band Vortexable Systems
• Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe${}_2$
• Pressure-Tunable Generalized Wigner Crystal and Fractional Chern Insulator in twisted MoTe${}_2$
• Topological Order Without Band Topology in Moiré Graphene
• Refining Heuristic Predictors of Fractional Chern Insulators using Machine Learning
• Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls
• Orbital Description of Landau Levels
• Topological two-body interaction obstructing trivial ground states: an indicator of fractional Chern insulators
• Unveiling In-Gap States and Majorana Zero Modes in Superconductor-Topological Insulator Bilayer model
• Probing Non-Fermi-Liquid Behaviour of Composite Fermi Liquid via Efficient Thermal Simulations