Topological insulators in twisted transition metal dichalcogenide homobilayers

Abstract

We show that moiré bands of twisted homobilayers can be topologically nontrivial, and illustrate the tendency by studying valence band states in $\pm K$ valleys of twisted bilayer transition metal dichalcogenides, in particular, bilayer MoTe${}_2$. Because of the large spin-orbit splitting at the monolayer valence band maxima, the low energy valence states of the twisted bilayer MoTe${}_2$ at $+K$ ($-K$) valley can be described using a two-band model with a layer-pseudospin magnetic field $\mathbf{\Delta }(\mathbf{r})$ that has the moiré period. We show that $\mathbf{\Delta }(\mathbf{r})$ has a topologically non-trivial skyrmion lattice texture in real space, and that the topmost moiré valence bands provide a realization of the Kane-Mele quantum spin-Hall model, i.e., the two-dimensional time-reversal-invariant topological insulator. Because the bands narrow at small twist angles, a rich set of broken symmetry insulating states can occur at integer numbers of electrons per moiré cell.

5+5 pages, 4+4 figures. Title has been modified. Accepted by Physical Review Letters on February 7, 2019

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• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• A New Era of Quantum Materials Mastery and Quantum Simulators In and Out of Equilibrium
• Strong atomic reconstruction in twisted bilayers of highly flexible InSe: Machine-Learned Interatomic Potential and continuum model approaches
• Orbital Magnetization of Correlated States in Twisted Bilayer Transition Metal Dichalcogenides
• Detecting Hidden Order in Fractional Chern Insulators
• Quantum-geometric dipole: a topological boost to flavor ferromagnetism in flat bands
• False Vacuum Decay in Flat-Band Ferromagnets: Role of Quantum Geometry and Chiral Edge States
• Twisted Type-II Rashba Homobilayer: A Platform for Tunable Topological Flat Bands
• Layer-dependent transport properties in the Moiré of strained homobilayer transition metal dichalcogenides
• Highly tunable quantum light from moiré trapped excitons
• Interlayer Coupling-Induced Quantum Phase Transition in Quantum Anomalous Hall Multilayers
• Pseudogap with Fermi arcs and Fermi pockets in half-filled twisted transition metal dichalcogenides
• Sliding Luttinger Liquid and Topological Flat Bands in Symmetry Mismatched Moiré Interfaces
• Visualizing Electronic Structure of Twisted Bilayer MoTe2 in Devices
• Spinless and spinful charge excitations in moiré Fractional Chern Insulators
• Candidate for a Fractional Topological Insulator in Twisted MoTe2
• MoireStudio: A Universal Twisted Electronic Structure Calculation Package
• Incommensurability-induced sub-ballistic narrow-band-states in twisted bilayer graphene
• Ordering the topological order in the fractional quantum Hall effect
• Review of the tight-binding method applicable to the properties of moiré superlattices
• Mean-field Modelling of Moiré Materials: A User's Guide with Selected Applications to Twisted Bilayer Graphene
• Topological phase transition from periodic edge states in moiré superlattices
• Topological phases in twisted Rashba superconductors
• Moiré surface states and enhanced superconductivity in topological insulators
• In-plane magnetic field-induced orbital FFLO superconductivity in twisted WSe${}_2$ homobilayers
• Incipient quantum spin Hall insulator under strong correlations
• Variational wavefunctions for fractional topological insulators
• Non-Abelian Chern band in rhombohedral graphene multilayers
• Magnetic Hofstadter cascade in a twisted semiconductor homobilayer
• Probing Quantum Anomalous Hall States in Twisted Bilayer WSe2 via Attractive Polaron Spectroscopy
• Geometry-Driven Moiré Engineering in Twisted Bilayers of High-Pseudospin Fermions
• Topological domain-wall states from Umklapp scattering in twisted bilayer graphene
• Quantum Magnetism in Wannier-Obstructed Mott Insulators
• Low-frequency and Moiré Floquet engineering: a review
• Site-polarized Mott phases competing with a correlated metal in twisted WSe${}_2$
• Effective K valley Hamiltonian for TMD bilayers under pressure and application to twisted bilayers with pressure-induced topological phase transitions
• Geometric origins of topological insulation in twisted layered semiconductors
• Optical signatures of -1/3 fractional quantum anomalous Hall state in twisted MoTe2
• Optical Absorption and Emission from Wannier-Stark Spectra of Moiré Superlattices
• Propagating Collective Spin-valley Modes in Twisted WSe2
• Topological Order in Neural Wavefunctions
• Giant Shift Current in Electrically-Tunable Superlattice Bilayer Graphene
• Spin-orbital magnetism in moiré Wigner molecules
• Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe${}_2$
• Topological invariant and domain connectivity in moiré materials
• Engineering topological exciton structures in two-dimensional semiconductors by a periodic electrostatic potential
• Interlayer couplings in homobilayer structures of MSi2X4 (M = Mo/W, X = N/P/As)
• Probing the Quantum Geometry of Correlated Metals using Optical Conductivity
• Functional renormalization of spinless triangular-lattice fermions: $N$-patch vs. truncated-unity scheme
• Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials
• Orbital Description of Landau Levels
• Insulating charge transfer ferromagnetism
• Electron-Spin-Resonance in a proximity-coupled MoS2/Graphene van-der-Waals heterostructure
• Tuning between a fractional topological insulator and competing phases at ${\nu }_{\mathrm{T}}=2/3$
• Higher Chern bands in helical homotrilayer transition metal dichalcogenides
• Robustness of real-space topology in moiré systems
• Charge ordering and spontaneous topological Hall effect in bilayer skyrmion crystals
• SU(4) Kondo Lattice in Semiconductor Moiré Materials
• Emergent exotic chirality dependent dielectricity in magnetic twisted bilayer system
• Radial Rashba spin-orbit fields in commensurate twisted transition-metal dichalcogenide bilayers
• Magnetic Ordering in Moiré Graphene Multilayers from a Continuum Hartree+U Approach
• Revealing the non-adiabatic and non-Abelian multiple-band effects via anisotropic valley Hall conduction in bilayer graphene
• Three-dimensional flat bands and possible interlayer triplet pairing superconductivity in the alternating twisted NbSe${}_2$ moiré bulk
• Probing Non-Fermi-Liquid Behaviour of Composite Fermi Liquid via Efficient Thermal Simulations
• General Many-Body Perturbation Framework for Moiré Systems
• Generalizing the composite fermion theory for fractional Chern insulators
• Twister: Construction and structural relaxation of commensurate moiré superlattices
• Relaxation and Its Effects on Electronic Structure in Twisted Systems: An Analytical Perspective
• Instability of Laughlin FQH liquids into gapless power-law correlated states with continuous exponents in ideal Chern bands: rigorous results from plasma mapping
• Efficient prediction of topological superlattice bands with spin-orbit coupling
• Chiral topological superconductivity in twisted bilayer and double bilayer graphene
• Anyon Dispersion in Aharonov-Casher Bands and Implications for Twisted MoTe${}_2$
• Intervalley Band Crossing and Transition of Fractional Chern Insulators in Floquet Twisted Bilayer MoTe${}_2$
• Abelian and non-Abelian fractionalized states in twisted MoTe${}_2$: A generalized Landau-level theory
• Electronic phonon-induced magnetism in moiré Mott-Wigner crystals
• Stripe antiferromagnetism and chiral superconductivity in tWSe${}_2$
• Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls
• Symmetric localization of ${\nu }_{\text{tot}}=4/3$ fractional topological insulator edges
• Realization of Nearly Dispersionless Bands with Strong Orbital Anisotropy from Destructive Interference in Twisted Bilayer MoS2
• Twist-Tuned Magnonic Nanocavity Mode in a Trilayer Moiré Superlattice
• Moire-Engineered Excitonic Landscape and Phonon-Mediated Recombination in Twisted WSe2 Bilayers
• Moiré Topology in Twisted Structures with Noncollinear Spin-Orbit Coupling
• Manipulating Charge Distribution in Moiré Superlattices by Light
• The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model
• Nonlocal Exchange Interactions in Strongly Correlated Electron Systems
• Energetically Favored One-Dimensional Moiré Superstructure in the Pseudo-Square Lattice GdTe3
• Moiré potential, lattice corrugation, and band gap spatial variation in a twist-free MoS2/MoTe2 heterobilayer
• Renormalization group analysis of weakly interacting van der Waals Fermi system
• Non-local interactions and supersolidity of moiré excitons
• Decomposing Electronic Structures in Twisted Multilayers: Bridging Spectra and Incommensurate Wave Functions
• Spin-textured Chern bands in AB-stacked transition metal dichalcogenide bilayers
• Temperature dependent resistivity in the doped two dimensional metallic phase of mTMD bilayers
• Pressure-Tunable Generalized Wigner Crystal and Fractional Chern Insulator in twisted MoTe${}_2$