Quantum anomalous Hall effect from intertwined moiré bands

Abstract

Electron correlation and topology are two central threads of modern condensed matter physics. Semiconductor moiré materials provide a highly tunable platform for studies of electron correlation. Correlation-driven phenomena, including the Mott insulator, generalized Wigner crystals, stripe phases and continuous Mott transition, have been demonstrated. However, nontrivial band topology has remained elusive. Here we report the observation of a quantum anomalous Hall (QAH) effect in AB-stacked MoTe2/WSe2 moiré heterobilayers. Unlike in the AA-stacked structures, an out-of-plane electric field controls not only the bandwidth but also the band topology by intertwining moiré bands centered at different high-symmetry stacking sites. At half band filling, corresponding to one particle per moiré unit cell, we observe quantized Hall resistance, h/e2 (with h and e denoting the Planck's constant and electron charge, respectively), and vanishing longitudinal resistance at zero magnetic field. The electric-field-induced topological phase transition from a Mott insulator to a QAH insulator precedes an insulator-to-metal transition; contrary to most known topological phase transitions, it is not accompanied by a bulk charge gap closure. Our study paves the path for discovery of a wealth of emergent phenomena arising from the combined influence of strong correlation and topology in semiconductor moiré materials.

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• Topological Mott Insulators
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Moiré heterostructures as a condensed matter quantum simulator
• Correlation effects in two-dimensional topological insulators
• Theory of a continuous Mott transition in two dimensions
• First order character and observable signatures of topological quantum phase transitions
• Spin-textured Chern bands in AB-stacked transition metal dichalcogenide bilayers

Cited by in corpus (254)

• 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
• Colloquium: Quantum anomalous Hall effect
• Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
• Superconductivity in twisted bilayer WSe${}_2$
• 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
• Orbital Multiferroicity in Pentalayer Rhombohedral Graphene
• Gate-tunable heavy fermions in a moiré Kondo lattice
• A Microscopic Perspective on Moiré Materials
• Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe${}_2$
• Quantum Anomalous Hall Effect in Antiferromagnetism
• Large Quantum Anomalous Hall Effect in Spin-Orbit Proximitized Rhombohedral Graphene
• Correlated insulator of excitons in WSe2/WS2 moiré superlattices
• Mapping twist-tuned multiband topology in bilayer WSe${}_2$
• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene I: Interaction-Driven Chern Bands and Fractional Quantum Hall States at Zero Magnetic Field
• Kinetic Magnetism in Triangular Moiré Materials
• Polarization-driven band topology evolution in twisted MoTe${}_2$ and WSe${}_2$
• Charge-transfer Contact to a High-Mobility Monolayer Semiconductor
• Superconductivity and quantized anomalous Hall in rhombohedral graphene
• 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
• Topological Phases in AB-Stacked MoTe${}_2$/WSe${}_2$: ${\mathbb{Z}}_2$ Topological Insulators, Chern Insulators, and Topological Charge Density Waves
• Spin-Orbit Coupling in Transition Metal Dichalcogenide Heterobilayer Flat Bands
• Quantum anomalous Hall effect from inverted charge transfer gap
• Non-local interactions in moiré Hubbard systems
• Tunable moiré materials for probing Berry physics and topology
• Quantum Hall phase in graphene engineered by interfacial charge coupling
• Topological Mott Insulator at Quarter Filling in the Interacting Haldane Model
• Quantized anomalous Hall resistivity achieved in molecular beam epitaxy-grown MnBi2Te4 thin films
• Monolayer V2MX4: A new family of quantum anomalous Hall insulators
• Interaction-driven topological phase diagram of twisted bilayer MoTe${}_2$
• Nonlinear anomalous Hall effects probe topological phase-transitions in twisted double bilayer graphene
• Chiral Kondo Lattice in Doped MoTe${}_2$/WSe${}_2$ Bilayers
• Band mixing in the quantum anomalous Hall regime of twisted semiconductor bilayers
• Gate-tunable heavy fermion quantum criticality in a moiré Kondo lattice
• Theory of fractional Chern insulator states in pentalayer graphene moiré superlattice
• Floquet Engineering of Nonequilibrium Valley-Polarized Quantum Anomalous Hall Effect with Tunable Chern Number
• Doping a moiré Mott Insulator: A t-J model study of twisted cuprates
• Topological superconductivity in doped magnetic moiré semiconductors
• Intercell Moiré Exciton Complexes in Electron Lattices
• Stability of Anomalous Hall Crystals in multilayer rhombohedral graphene
• Interplay between topology and correlations in the second moiré band of twisted bilayer MoTe2
• Phase transitions out of quantum Hall states in moiré materials
• Quantum anomalous Hall crystal at fractional filling of moiré superlattices
• Progress and Prospects in Two-Dimensional Magnetism of van der Waals Materials
• Itinerant spin polaron and metallic ferromagnetism in semiconductor moiré superlattices
• Multiple Chern bands in twisted MoTe${}_2$ and possible non-Abelian states
• Ultra-Strong Spin-Orbit Coupling and Topological Moiré Engineering in Twisted ZrS2 Bilayers
• Exciton Proliferation and Fate of the Topological Mott Insulator in a Twisted Bilayer Graphene Lattice Model
• Antiferromagnetic Quantum Anomalous Hall Effect Modulated by Spin Flips and Flops
• Moiré-driven multiferroic order in twisted CrCl${}_3$, CrBr${}_3$ and CrI${}_3$ bilayers
• Tunable spin and valley excitations of correlated insulators in $\Gamma$-valley moiré bands
• Sublattice structure and topology in spontaneously crystallized electronic states
• High-Temperature Quantum Valley Hall Effect with Quantized Resistance and a Topological Switch
• Imaging de Haas-van Alphen quantum oscillations and milli-Tesla pseudomagnetic fields
• Competition of Density Waves and Superconductivity in Twisted Tungsten Diselenide
• Giant proximity exchange and flat Chern band in 2D magnet-semiconductor heterostructures
• 1/4 is the new 1/2 when topology is intertwined with Mottness
• 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
• Recent Developments in Fractional Chern Insulators
• Progress and prospects in the quantum anomalous Hall effect
• Intrinsic spin Hall torque in a moire Chern magnet
• Creation of Chiral Interface Channels for Quantized Transport in Magnetic Topological Insulator Multilayer Heterostructures
• Machine learning approach to genome of two-dimensional materials with flat electronic bands
• Quantum Imaging of Magnetic Phase Transitions and Spin Fluctuations in Intrinsic Magnetic Topological Nanoflakes
• Band structure engineering using a moiré polar substrate
• Massive Dirac fermions in moiré superlattices: a route towards topological flat minibands
• General nonlinear Hall current in magnetic insulators beyond the quantum anomalous Hall effect
• Two-dimensional Kagome Materials: Theoretical Insights, Experimental Realizations, and Electronic Structures
• Nematic excitonic insulator in transition metal dichalcogenide moiré heterobilayers
• Topological electronic crystals in twisted bilayer-trilayer graphene
• Striped electronic phases in an incommensurately modulated van der Waals superlattice
• Superconductivity and spin canting in spin-orbit proximitized rhombohedral trilayer graphene
• Gate-tunable antiferromagnetic Chern insulator in twisted bilayer transition metal dichalcogenides
• Superconductivity in twisted transition metal dichalcogenide homobilayers
• Controllable chirality and band gap of quantum anomalous Hall insulators
• Nanoscale electrostatic control in ultra clean van der Waals heterostructures by local anodic oxidation of graphite gates
• Excitonic Chern insulator and kinetic ferromagnetism in MoTe${}_2$/WSe${}_2$ moiré bilayer
• Orbital Fulde-Ferrell pairing state in moiré Ising superconductors
• Chern Number Tunable Quantum Anomalous Hall Effect in Compensated Antiferromagnets
• 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${}_2$
• Electrical Switching of the Edge Current Chirality in Quantum Anomalous Hall Insulators
• Helical trilayer graphene: a moiré platform for strongly-interacting topological bands
• Nematic, chiral and topological superconductivity in transition metal dichalcogenides
• Gate-tunable topological phases in superlattice modulated bilayer graphene
• Bridging the small and large in twisted transition metal dicalcogenide homobilayers: a tight binding model capturing orbital interference and topology across a wide range of twist angles
• Thermodynamic Response and Neutral Excitations in Integer and Fractional Quantum Anomalous Hall States Emerging from Correlated Flat Bands
• Intrinsic magnetic topological insulators of the MnBi${}_2$Te${}_4$ family
• Robust Interlayer-Coherent Quantum Hall States in Twisted Bilayer Graphene
• Observation of spin-wave moiré edge and cavity modes in twisted magnetic lattices
• Kagome chiral spin liquid in transition metal dichalcogenide moiré bilayers
• Rules for dissipationless topotronics
• Interactions mediated by atoms, photons, electrons, and excitons
• Interaction range and temperature dependence of symmetry breaking in strongly correlated two-dimensional moiré transition metal dichalcogenide bilayers
• Fractional quantum anomalous Hall effect in a singular flat band
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Engineering the in-plane anomalous Hall effect in Cd${}_3$As${}_2$ thin films
• Extended quantum anomalous Hall effect in moiré structures: phase transitions and transport
• Dirac fermions with plaquette interactions. III. SU(N) phase diagram with Gross-Neveu criticality and first-order phase transition
• Quantum anomalous Hall insulator in ionic Rashba lattice of correlated electrons
• Quantum anomalous Hall effect and electric-field-induced topological phase transition in AB-stacked MoTe${}_2$/WSe${}_2$ moiré heterobilayers
• Contrasting twisted bilayer graphene and transition metal dichalcogenides for fractional Chern insulators: an emergent gauge picture
• Multiferroicity and Topology in Twisted Transition Metal Dichalcogenides
• Superconductivity in twisted WSe${}_2$ from topology-induced quantum fluctuations
• Topological multiferroic order in twisted transition metal dichalcogenide bilayers
• Magic-angle Twisted Bilayer Systems with Quadratic-Band-Touching: Exactly Flat Bands with High-Chern Number
• Strong-coupling phases of trions and excitons in electron-hole bilayers at commensurate densities
• Growth and applications of two-dimensional single crystals
• Long-lived Topological Flatband Excitons in Semiconductor Moiré Heterostructures: a Bosonic Kane-Mele Model Platform
• Electronic transport, metal-insulator transition, and Wigner crystallization in transition metal dichalcogenide monolayers
• Topological Mott insulator in the odd-integer filled Anderson lattice model with Hatsugai-Kohmoto interactions
• Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$
• Twisted-bilayer FeSe and the Fe-based superlattices
• Large-Gap Quantum Anomalous Hall Insulators in $A$Ti$X$ Class
• On-Chip Terahertz Spectroscopy for Dual-Gated van der Waals Heterostructures at Cryogenic Temperatures
• Time-Reversal Invariant Topological Moiré Flatband: A Platform for the Fractional Quantum Spin Hall Effect
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
• Quantum Melting of Generalized Wigner Crystals in Transition Metal Dichalcogenide Moiré Systems
• Polaron spectroscopy of interacting Fermi systems: insights from exact diagonalization
• Interlayer donor-acceptor pair excitons in MoSe2/WSe2 moiré heterobilayer
• Chiral and nodal superconductors in t-J model with valley contrasting flux on triangular moiré lattice
• High temperature, gate-free quantum anomalous Hall effect with an active capping layer
• Topological Kondo semimetal and insulator in AB-stacked heterobilayer transition metal dichalcogenides
• Majorana zero modes in twisted transition metal dichalcogenides homobilayers
• Engineering robust strain transmission in van der Waals heterostructure devices
• A New Moiré Platform Based on M-Point Twisting
• Doping a Wigner-Mott insulator: Exotic charge orders in transition-metal dichalcogenide moiré heterobilayers
• Possible Sliding Regimes in Twisted Bilayer WTe${}_2$
• Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer WSe${}_2$
• The Layer Hall Effect without External Electric Field
• Interacting phase diagram of twisted bilayer MoTe${}_2$ in magnetic field
• Intrinsically-multilayer moiré heterostructures
• Quantum Geometry and the Hidden Scales in Materials
• DPmoire: A tool for constructing accurate machine learning force fields in moiré systems
• Topological Chiral Superconductivity Mediated by Intervalley Antiferromagnetic Fluctuations in Twisted Bilayer WSe${}_2$
• Berry curvature, spin Hall effect and nonlinear optical response in moiré transition metal dichalcogenide heterobilayers
• Symmetric Wannier states and tight-binding model for quantum spin Hall bands in AB-stacked MoTe${}_2$/WSe${}_2$
• Composite helical edges from Abelian fractional topological insulators
• Dimensional reduction from magnetic field in moiré superlattices
• Pressure-Driven Moiré Potential Enhancement and Tertiary Gap Opening in Graphene/h-BN Heterostructure
• Orbitally controlled quantum Hall states in decoupled two-bilayer graphene sheets
• Time-Domain Signatures of Distinct Correlated Insulators in a Moiré Superlattice
• Optical readout of the chemical potential of two-dimensional electrons
• Single-particle spectral function of fractional quantum anomalous Hall states
• Layer-Dependent Quantum Anomalous Hall Effect in Rhombohedral Graphene
• Observation of Ferromagnetic Phase in the Second Moiré Band of Twisted MoTe2
• Area-law entanglement from quantum geometry
• Quantum anomalous, spin, and valley Hall effects in pentalayer rhombohedral graphene moiré superlattices
• Electric-field switchable chirality in rhombohedral graphene Chern insulators stabilized by tungsten diselenide
• Tunable exciton valley-pseudospin orders in moiré Bose-Hubbard model
• Pomeranchuk Effect and Tunable Quantum Phase Transitions in 3L-MoTe2/WSe2
• Correlated Topological Mixed-Valence Insulators in Moiré Hetero-Bilayers
• Anomalous $h/2e$ periodicity and Majorana zero modes in chiral Josephson junctions
• Optical Switching of Moiré Chern Ferromagnet
• Pressure-tuned many-body phases through $\Gamma$-K valleytronics in moiré bilayer WSe${}_2$
• Moiré Band Engineering in Twisted Trilayer WSe2
• Ultrafast control of moiré pseudo-electromagnetic field in homobilayer semiconductors
• Topological $p_x+i{p}_y$ inter-valley coherent state in Moiré MoTe${}_2$/WSe${}_2$ heterobilayers
• Interaction induced moiré systems in twisted bilayer optical lattices
• Inducing topological flat bands in bilayer graphene with electric and magnetic superlattices
• Review: Advanced characterization of the spatial variation of moiré heterostructures and moiré excitons
• Exciton and light induced ferromagnetism from doping a moiré Mott insulator
• Kanamori-Moiré-Hubbard model for transition metal dichalcogenide homobilayers
• Antiferromagnetic Chern insulator with large charge gap in heavy transition-metal compounds
• Exciton interacting with a moiré lattice: Polarons, strings, and optical probing of spin correlations
• Bad topological semimetals in layered honeycomb compounds
• Computing the ${\mathbb{Z}}_2$ Invariant in Two-Dimensional Strongly-Correlated Systems
• 5d orbital Induced Room Temperature Quantum Anomalous Hall Effect in TbCl
• Chiral superconductivity from spin polarized Chern band in twisted MoTe${}_2$
• Moiré band theory for M-valley twisted transition metal dichalcogenides
• Enhancement of temperature of quantum anomalous Hall effect in two-dimensional germanene/magnetic semiconductor heterostructures
• Itinerant ferromagnetism in transition metal dichalcogenides moiré superlattices
• Artificial moiré engineering for an ideal BHZ model
• Universal scaling near band-tuned metal-insulator phase transitions
• Topological magnons and domain walls in twisted bilayer MoTe${}_2$
• Chiral edge state coupling theory of transport in quantum anomalous Hall insulators
• Edge supercurrent in Josephson junctions based on topological materials
• A Bound on Topological Gap from Newton's Laws
• Chern-Textured Exciton Insulators with Valley Spiral Order in Moiré Materials
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
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• Spin-valley magnetism on the triangular moiré lattice with SU(4) breaking interactions
• The low energy excitation spectrum of magic-angle semimetals
• Nanoscale ferroelectric programming of van der Waals heterostructures
• Considerations for extracting moiré-level strain from dark field intensities in transmission electron microscopy
• Angle evolution of the superconducting phase diagram in twisted bilayer WSe2
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Interaction-induced reentrance of Bose glass and quench dynamics of Bose gases in twisted bilayer and quasicrystal optical lattices
• Itinerant topological magnons and spin excitons in twisted transition metal dichalcogenides: Mapping electron topology to spin counterpart
• Magneto-Induced Topological Phase Transition in Inverted InAs/GaSb Bilayers
• Polarization textures in crystal supercells with topological bands
• A New Era of Quantum Materials Mastery and Quantum Simulators In and Out of Equilibrium
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• An ab-initio study on engineering quantum anomalous Hall effect in compensated antiferromagnet MnBi${}_2$Te${}_4$
• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• Topological Kondo semimetals emulated in hetero-bilayer transition metal dichalcogenides
• Detecting Hidden Order in Fractional Chern Insulators
• Quantum simulation of honeycomb lattice model by high-order moiré pattern
• Interlayer Dzyaloshinskii-Moriya interactions induced via non-linear phononics in bilayer van der Waals materials
• Anisotropic moiré band flattening in twisted bilayers of M-valley MXenes
• Anomalous Fraunhofer-like patterns in quantum anomalous Hall Josephson junction
• Orbital Magnetization of Correlated States in Twisted Bilayer Transition Metal Dichalcogenides
• Network of chiral one-dimensional channels and localized states emerging in a moiré system
• Valley Gapless Semiconductor: Models and Applications
• Density-dependent spin susceptibility and effective mass in monolayer MoSe2
• Twisted Nodal Superconductors
• False Vacuum Decay in Flat-Band Ferromagnets: Role of Quantum Geometry and Chiral Edge States
• Review of the tight-binding method applicable to the properties of moiré superlattices
• Interlayer Coupling-Induced Quantum Phase Transition in Quantum Anomalous Hall Multilayers
• Preservation of Topological Surface States in Millimeter-Scale Transferred Membranes
• Non-Abelian Chern band in rhombohedral graphene multilayers
• Spin and Valley Polarized Multiple Fermi Surfaces of α-RuCl${}_3$/Bilayer Graphene Heterostructure
• Band structure picture for topology in strongly correlated systems with the ghost Gutzwiller ansatz
• Anyon-trions in atomically thin semiconductor heterostructures
• Incipient quantum spin Hall insulator under strong correlations
• Topological phase transition from periodic edge states in moiré superlattices
• Effects of GaAs buffer layer on quantum anomalous Hall insulator Vy(BixSb1-x)2-yTe3
• Antiferromagnetic topological insulators in heavy-fermion systems
• Twisted Type-II Rashba Homobilayer: A Platform for Tunable Topological Flat Bands
• Topological charge excitations and Green's function zeros in paramagnetic Mott insulators
• Interplay between topology and electron-electron interactions in the moiré MoTe${}_2$/WSe${}_2$ heterobilayer
• Kekulé order from diffuse nesting near higher-order Van Hove points
• Effective K valley Hamiltonian for TMD bilayers under pressure and application to twisted bilayers with pressure-induced topological phase transitions
• Fate of chiral order and impurity self-pinning in flat bands with local symmetry
• Impurity-induced Mott ring states and Mott zeros ring states in the Hubbard operator formalism
• Probing Quantum Anomalous Hall States in Twisted Bilayer WSe2 via Attractive Polaron Spectroscopy
• Engineering topological exciton structures in two-dimensional semiconductors by a periodic electrostatic potential
• Spin-orbital magnetism in moiré Wigner molecules
• Giant Shift Current in Electrically-Tunable Superlattice Bilayer Graphene
• Spin-orbit torque switching of Néel order in band-inverted antiferromagnetic bilayer MnBi${}_2$Te${}_4$
• Strong Correlations and Superconductivity in the Supermoiré Lattice
• Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe${}_2$
• Moire Engineering of Cooper-Pair Density Modulation States
• Optical signatures of -1/3 fractional quantum anomalous Hall state in twisted MoTe2
• Unconventional superconductivity mediated by exciton density wave fluctuations
• Scalable and deterministic construction of moiré superlattice in 2D materials using stressor films
• One-dimensional moiré engineering in zigzag graphene nanoribbons on hBN
• High-Temperature Quantum Anomalous Hall Effect in Buckled Honeycomb Antiferromagnets
• Selective Kondo screening and strange metallicity by sliding Dirac semimetals
• Fate of Berezinskii-Kosterlitz-Thouless Paired Phase in Coupled $XY$ Models
• Spin-orbit-driven quarter semimetals in rhombohedral graphene
• Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls
• Manipulating Charge Distribution in Moiré Superlattices by Light
• The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model
• Magnetic and nematic order of Bose-Fermi mixtures in moiré superlattices of 2D semiconductors
• Higher Chern bands in helical homotrilayer transition metal dichalcogenides
• Fractional spin Josephson effect in topological spin superconductors
• Non-Fermi liquid behaviour of CDW instabilities in fractionally-filled moiré flatbands
• Effects of GaAs Buffer Layer on Structural, Magnetic, and Transport Properties of Magnetic Topological Insulators Cr${}_y$(Bi${}_x$Sb${}_{1-x}$)${}_{2-y}$Te${}_3$ and V${}_y$(Bi${}_x$Sb${}_{1-x}$)${}_{2-y}$Te${}_3$ Films
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