Topological Phases in AB-Stacked MoTe${}_2$/WSe${}_2$: ${\mathbb{Z}}_2$ Topological Insulators, Chern Insulators, and Topological Charge Density Waves

Abstract

We present a theory on the quantum phase diagram of AB-stacked MoTe${}_2$/WSe${}_2$ using a self-consistent Hartree-Fock calculation performed in the plane-wave basis, motivated by the observation of topological states in this system. At filling factor $\nu =2$ (two holes per moiré unit cell), Coulomb interaction can stabilize a ${\mathbb{Z}}_2$ topological insulator by opening a charge gap. At $\nu =1$, the interaction induces three classes of competing states, spin density wave states, an in-plane ferromagnetic state, and a valley polarized state, which undergo first-order phase transitions tuned by an out-of-plane displacement field. The valley polarized state becomes a Chern insulator for certain displacement fields. Moreover, we predict a topological charge density wave forming a honeycomb lattice with ferromagnetism at $\nu =2/3$. Future directions on this versatile system hosting a rich set of quantum phases are discussed.

arXiv comment7 pages, 4 figures

References in corpus (65)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Tuning superconductivity in twisted bilayer graphene
• Quantum Spin Hall Effect
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Magnetic-field-induced quantized anomalous Hall effect in intrinsic magnetic topological insulator MnBi${}_2$Te${}_4$
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Prediction and observation of the first antiferromagnetic topological insulator
• Intrinsic magnetic topological insulators in van der Waals layered MnBi${}_2$Te${}_4$-family materials
• Optical detection of Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
• Magic continuum in twisted bilayer WSe2
• Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
• Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
• Topological axion states in magnetic insulator MnBi${}_2$Te${}_4$ with the quantized magnetoelectric effect
• Robust axion insulator and Chern insulator phases in a two-dimensional antiferromagnetic topological insulator
• Observation of the Quantum Spin Hall Effect up to 100 Kelvin in a Monolayer Crystal
• Topological insulators in twisted transition metal dichalcogenide homobilayers
• Quantum Spin Hall Effect in Inverted Type II Semiconductors
• Quantum Anomalous Hall Effect in Hg${}_{1-y}$Mn${}_y$Te Quantum Wells
• Tunable Correlated Chern Insulator and Ferromagnetism in Trilayer Graphene/Boron Nitride Moiré Superlattice
• Hubbard model physics in transition metal dichalcogenide moiré bands
• Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Electric Field Tunable Correlated States and Magnetic Phase Transitions in Twisted Bilayer-Bilayer Graphene
• Signatures of Gate-Tunable Superconductivity in Trilayer Graphene/Boron Nitride Moiré Superlattice
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Spectroscopic signatures of many-body correlations in magic angle twisted bilayer graphene
• Abundance of correlated insulating states at fractional fillings of WSe${}_2$/WS${}_2$ moiré superlattices
• Edge conduction in monolayer WTe2
• Spin-polarized Correlated Insulator and Superconductor in Twisted Double Bilayer Graphene
• Evidence of Gate-Tunable Mott Insulator in Trilayer Graphene-Boron Nitride Moiré Superlattice
• Quantum anomalous Hall effect from intertwined moiré bands
• Correlated states in twisted double bilayer graphene
• Giant Magneto-optical Kerr Effect and Universal Faraday Effect in Thin-film Topological Insulators
• Cascade of electronic transitions in magic-angle twisted bilayer graphene
• Nearly Flat Chern Bands in Moiré Superlattices
• Magic in twisted transition metal dichalcogenide bilayers
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Electrical switching of magnetic order in an orbital Chern insulator
• Electrically tunable correlated and topological states in twisted monolayer-bilayer graphene
• Quantized Anomalous Hall Effect in Two-Dimensional Ferromagnets - Quantum Hall Effect from Metal -
• Signatures of bilayer Wigner crystals in a transition metal dichalcogenide heterostructure
• Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe${}_2$
• Tuning Chern Number in Quantum Anomalous Hall Insulators
• Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene
• Quantum Phase Diagram of a Moiré-Hubbard Model
• Topological charge density waves at half-integer filling of a moiré superlattice
• Valley-Polarized Quantum Anomalous Hall State in Moiré MoTe${}_2$/WSe${}_2$ Heterobilayers
• Excitonic and valleytronic signatures of correlated states at fractional fillings of a moiré superlattice
• Finite Conductivity in Mesoscopic Hall Bars of Inverted InAs/GaSb Quantum Wells
• Quantum anomalous Hall effect from inverted charge transfer gap
• Interaction-Driven Filling-Induced Metal-Insulator Transitions in 2D Moiré Lattices
• Competing magnetic states in transition metal dichalcogenide moiré materials
• Quantum Geometry and Stability of Moiré Flatband Ferromagnetism
• Disorder induced 2D metal-insulator transition in moiré transition metal dichalcogenide multilayers
• Interaction range and temperature dependence of symmetry breaking in strongly correlated two-dimensional moiré transition metal dichalcogenide bilayers
• Spin-textured Chern bands in AB-stacked transition metal dichalcogenide bilayers

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• 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
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
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• Topological Kondo semimetal and insulator in AB-stacked heterobilayer transition metal dichalcogenides
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• Quantum Many-Body Physics Calculations with Large Language Models
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• Single-particle spectral function of fractional quantum anomalous Hall states
• Optical readout of the chemical potential of two-dimensional electrons
• From Fractional Quantum Anomalous Hall Smectics to Polar Smectic Metals: Nontrivial Interplay Between Electronic Liquid Crystal Order and Topological Order in Correlated Topological Flat Bands
• Correlated Topological Mixed-Valence Insulators in Moiré Hetero-Bilayers
• Topological $p_x+i{p}_y$ inter-valley coherent state in Moiré MoTe${}_2$/WSe${}_2$ heterobilayers
• Topological Interlayer Superconductivity in a van der Waals Heterostructure
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Bulk Electronic Structure of Ni2MnGa studied by Density Functional Theory and Hard X-ray Photoelectron Spectroscopy
• Quantum anomalous Hall effects and emergent $\mathrm{SU}(2)$ Hall ferromagnets at fractional filling of helical trilayer graphene
• Extrinsic higher-order topological corner states in AB-stacked transition-metal dichalcogenides
• Topological Kondo semimetals emulated in hetero-bilayer transition metal dichalcogenides
• Generic integer and fractional quantum anomalous Hall crystals from interaction-driven band folding
• Interplay between topology and electron-electron interactions in the moiré MoTe${}_2$/WSe${}_2$ heterobilayer
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• Dual Charge-Density-Waves in Two-dimensional DyTe3 and Their Distinct Impacts on Magneto-Transport Properties
• General Many-Body Perturbation Framework for Moiré Systems
• Three-dimensional flat bands and possible interlayer triplet pairing superconductivity in the alternating twisted NbSe${}_2$ moiré bulk
• Symmetric localization of ${\nu }_{\text{tot}}=4/3$ fractional topological insulator edges
• Symmetry-protected topological wire in a topological vacuum
• Efficient prediction of topological superlattice bands with spin-orbit coupling