Hubbard model physics in transition metal dichalcogenide moiré bands

Abstract

Flexible long period moir\' e superlattices form in two-dimensional van der Waals crystals containing layers that differ slightly in lattice constant or orientation. In this Letter we show theoretically that isolated flat moir\' e bands described by generalized triangular lattice Hubbard models are present in twisted transition metal dichalcogenide heterobilayers. The hopping and interaction strength parameters of the Hubbard model can be tuned by varying the twist angle and the three-dimensional dielectric environment. When the flat moiré bands are partially filled, candidate many-body ground states at some special filling factors include spin-liquid states, quantum anomalous Hall insulators and chiral $d$-wave superconductors.

arXiv comment5+2 pages, 4+1 figures

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• Highly tunable quantum light from moiré trapped excitons
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• Optically tunable spin Hall effect in periodically driven monolayer transition metal dichalcogenides
• Sieve of Eratosthenes for Bose-Einstein Condensates in Optical Moiré Lattices
• Hierarchical Disorder in Moiré Exciton Photoluminescence Probed by Spectral-Descriptor Correlations
• Effective K valley Hamiltonian for TMD bilayers under pressure and application to twisted bilayers with pressure-induced topological phase transitions
• Optical signatures of -1/3 fractional quantum anomalous Hall state in twisted MoTe2
• Magnetism from multiparticle ring exchange in moiré Wigner crystals
• Geometric origins of topological insulation in twisted layered semiconductors
• Study of the triangular-lattice Hubbard model with constrained-path quantum Monte Carlo
• Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe${}_2$
• Spin-orbital magnetism in moiré Wigner molecules
• Energy Spectrum Theory of Incommensurate Systems
• Efficient prediction of topological superlattice bands with spin-orbit coupling
• Temperature dependent resistivity in the doped two dimensional metallic phase of mTMD bilayers
• One-dimensional moiré engineering in zigzag graphene nanoribbons on hBN
• Artificial versus Natural Atoms: The uncanny capability of the many-body Schrödinger equation to produce emergent behavior
• Spin-spiral instability of the Nagaoka ferromagnet in the crossover between square and triangular lattices
• SU(4) Kondo Lattice in Semiconductor Moiré Materials
• Engineering Hubbard models with gated two-dimensional moiré systems
• Spontaneous emergence of altermagnetism in the single-orbital extended Hubbard model
• Pseudogap in the lightly hole-doped triangular-lattice moiré Hubbard model
• Non-local interactions and supersolidity of moiré excitons
• Incoherent tunneling and topological superconductivity in twisted cuprate bilayers
• Twister: Construction and structural relaxation of commensurate moiré superlattices
• Renormalization group analysis of weakly interacting van der Waals Fermi system
• Insulating charge transfer ferromagnetism
• Spin-textured Chern bands in AB-stacked transition metal dichalcogenide bilayers
• Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls
• Magnetic and nematic order of Bose-Fermi mixtures in moiré superlattices of 2D semiconductors
• Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials
• Stripe antiferromagnetism and chiral superconductivity in tWSe${}_2$
• Electronic phonon-induced magnetism in moiré Mott-Wigner crystals
• Origin of Moiré Potentials in WS${}_2$/WSe${}_2$ Heterobilayers: Contributions from Lattice Reconstruction and Interlayer Charge Transfer
• Mobile impurity interacting with a Hubbard chain and the role of Friedel oscillations
• Itinerant magnetism in the triangular lattice Hubbard model at half-doping: Application to twisted transition-metal dichalcogenides
• Realization of Nearly Dispersionless Bands with Strong Orbital Anisotropy from Destructive Interference in Twisted Bilayer MoS2
• Symmetric localization of ${\nu }_{\text{tot}}=4/3$ fractional topological insulator edges
• Intervalley Band Crossing and Transition of Fractional Chern Insulators in Floquet Twisted Bilayer MoTe${}_2$
• Moiré Topology in Twisted Structures with Noncollinear Spin-Orbit Coupling
• Supermoiré-trapped quadrupolar exciton
• Probing spatially resolved spin density correlations with trapped excitons
• Emergent electronic insulating states in a one-dimensional moiré superlattice