Valley-Polarized Quantum Anomalous Hall State in Moiré MoTe${}_2$/WSe${}_2$ Heterobilayers

Abstract

Moiré heterobilayer transition metal dichalcogenides (TMDs) emerge as an ideal system for simulating the single-band Hubbard model and interesting correlated phases have been observed in these systems. Nevertheless, the moiré bands in heterobilayer TMDs were believed to be topologically trivial. Recently, it was reported that both a quantum valley Hall insulating state at filling $\nu =2$ (two holes per moiré unit cell) and a valley-polarized quantum anomalous Hall state at filling $\nu =1$ were observed in AB stacked moiré MoTe${}_2$/WSe${}_2$ heterobilayers. However, how the topologically nontrivial states emerge is not known. In this work, we propose that the pseudo-magnetic fields induced by lattice relaxation in moiré MoTe${}_2$/WSe${}_2$ heterobilayers could naturally give rise to moiré bands with finite Chern numbers. We show that a time-reversal invariant quantum valley Hall insulator is formed at full-filing $\nu =2$, when two moiré bands with opposite Chern numbers are filled. At half-filling $\nu =1$, Coulomb interaction lifts the valley degeneracy and results in a valley-polarized quantum anomalous Hall state, as observed in the experiment. Our theory identifies a new way to achieve topologically non-trivial states in heterobilayer TMD materials.

5 pages, 3 figures, plus supplementary material. Comments are welcome

References in corpus (9)

• Observation of Moiré Excitons in WSe2/WS2 Heterostructure Superlattices
• Lattice relaxation and energy band modulation in twisted bilayer graphenes
• Quantum anomalous Hall effect from intertwined moiré bands
• Continuous Mott transition in semiconductor moiré superlattices
• Evidence of Flat Bands and Correlated States in Buckled Graphene Superlattices
• Lattice reconstruction induced multiple ultra-flat bands in twisted bilayer WSe2
• Multifaceted moiré superlattice physics in twisted WSe${}_2$ bilayers
• Theory of tunable flux lattices in the homobilayer moiré of twisted and uniformly strained transition metal dichalcogenides
• Spin-textured Chern bands in AB-stacked transition metal dichalcogenide bilayers

Cited by in corpus (44)

• Integer and fractional Chern insulators in twisted bilayer MoTe2
• Colloquium: Quantum anomalous Hall effect
• Mapping twist-tuned multiband topology in bilayer WSe${}_2$
• Topological Phases in AB-Stacked MoTe${}_2$/WSe${}_2$: ${\mathbb{Z}}_2$ Topological Insulators, Chern Insulators, and Topological Charge Density Waves
• Quantum anomalous Hall effect from inverted charge transfer gap
• Spin-Orbit Coupling in Transition Metal Dichalcogenide Heterobilayer Flat Bands
• Non-local interactions in moiré Hubbard systems
• Interaction-driven topological phase diagram of twisted bilayer MoTe${}_2$
• Chiral Kondo Lattice in Doped MoTe${}_2$/WSe${}_2$ Bilayers
• Floquet Engineering of Nonequilibrium Valley-Polarized Quantum Anomalous Hall Effect with Tunable Chern Number
• Theory of fractional Chern insulator states in pentalayer graphene moiré superlattice
• Transfer learning relaxation, electronic structure and continuum model for twisted bilayer MoTe${}_2$
• Exciton Proliferation and Fate of the Topological Mott Insulator in a Twisted Bilayer Graphene Lattice Model
• Ultra-Strong Spin-Orbit Coupling and Topological Moiré Engineering in Twisted ZrS2 Bilayers
• 1/4 is the new 1/2 when topology is intertwined with Mottness
• Intrinsic spin Hall torque in a moire Chern magnet
• Massive Dirac fermions in moiré superlattices: a route towards topological flat minibands
• Nematic excitonic insulator in transition metal dichalcogenide moiré heterobilayers
• Gate-tunable antiferromagnetic Chern insulator in twisted bilayer transition metal dichalcogenides
• Excitonic Chern insulator and kinetic ferromagnetism in MoTe${}_2$/WSe${}_2$ moiré bilayer
• Electrically tuned topology and magnetism in twisted bilayer MoTe${}_2$ at ${\nu }_h=1$
• Quantum anomalous Hall effect and electric-field-induced topological phase transition in AB-stacked MoTe${}_2$/WSe${}_2$ moiré heterobilayers
• Topological Kondo semimetal and insulator in AB-stacked heterobilayer transition metal dichalcogenides
• Superconductivity induced by strong electron-exciton coupling in doped atomically thin semiconductor heterostructures
• Realizing a tunable honeycomb lattice in ABBA-stacked twisted double bilayer WSe${}_2$
• Majorana zero modes in twisted transition metal dichalcogenides homobilayers
• Intrinsically-multilayer moiré heterostructures
• Interacting phase diagram of twisted bilayer MoTe${}_2$ in magnetic field
• 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${}_2$
• Correlated Topological Mixed-Valence Insulators in Moiré Hetero-Bilayers
• Supersymmetry dictated topology in periodic gauge fields and realization in strained and twisted 2D materials
• Moiré Band Engineering in Twisted Trilayer WSe2
• Topological $p_x+i{p}_y$ inter-valley coherent state in Moiré MoTe${}_2$/WSe${}_2$ heterobilayers
• Phase shifts, band geometry and responses in triple-Q charge and spin density waves
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Feshbach Resonances in Exciton-Charge-Carrier Scattering in Semiconductor Bilayers
• Considerations for extracting moiré-level strain from dark field intensities in transmission electron microscopy
• Network of chiral one-dimensional channels and localized states emerging in a moiré system
• Topological phase transition from periodic edge states in moiré superlattices
• Mean-field Modelling of Moiré Materials: A User's Guide with Selected Applications to Twisted Bilayer Graphene
• Charge ordering and spontaneous topological Hall effect in bilayer skyrmion crystals
• Fate of Berezinskii-Kosterlitz-Thouless Paired Phase in Coupled $XY$ Models
• Three-dimensional flat bands and possible interlayer triplet pairing superconductivity in the alternating twisted NbSe${}_2$ moiré bulk