Hartree-Fock study of the moiré Hubbard model for twisted bilayer transition metal dichalcogenides

Abstract

Twisted bilayer transition metal dichalcogenides have emerged as important model systems for the investigation of correlated electron physics because their interaction strength, carrier concentration, band structure, and inversion symmetry breaking are controllable by device fabrication, twist angle, and most importantly, gate voltage, which can be varied in situ. The low energy physics of some of these materials has been shown to be described by a "moiré Hubbard model" generalized from the usual Hubbard model by the addition of strong, tunable spin orbit coupling and inversion symmetry breaking. In this work, we use a Hartree-Fock approximation to reach a comprehensive understanding of the moiré Hubbard model on the mean field level. We determine the magnetic and metal-insulator phase diagrams, and assess the effects of spin orbit coupling, inversion symmetry breaking, and the tunable van Hove singularity. We also consider the spin and orbital effects of applied magnetic fields. This work provides guidance for experiments and sets the stage for beyond mean-field calculations.

11 pages, 11 figures

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• k.p theory for two-dimensional transition metal dichalcogenide semiconductors
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe${}_2$
• Quantum Phase Diagram of a Moiré-Hubbard Model
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Cited by in corpus (93)

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• Composite Fermi Liquid at Zero Magnetic Field in Twisted MoTe${}_2$
• Topological and stacked flat bands in bilayer graphene with a superlattice potential
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• Pair-density-wave and chiral superconductivity in twisted bilayer transition-metal-dichalcogenides
• Quantum anomalous Hall effect from inverted charge transfer gap
• Non-local interactions in moiré Hubbard systems
• Chiral Kondo Lattice in Doped MoTe${}_2$/WSe${}_2$ Bilayers
• Gate-tunable heavy fermion quantum criticality in a moiré Kondo lattice
• Dynamical Mean Field Theory of Moiré Bilayer Transition Metal Dichalcogenides: Phase Diagram, Resistivity, and Quantum Criticality
• Competing magnetic states in transition metal dichalcogenide moiré materials
• Intercell Moiré Exciton Complexes in Electron Lattices
• TMDs as a platform for spin liquid physics: A strong coupling study of twisted bilayer WSe${}_2$
• Competition of Density Waves and Superconductivity in Twisted Tungsten Diselenide
• Triangular lattice Hubbard model physics at intermediate temperatures
• Tunable Stripe Order and Weak Superconductivity in the Moiré Hubbard Model
• Twistronics of Janus transition metal dichalcogenide bilayers
• Nematic excitonic insulator in transition metal dichalcogenide moiré heterobilayers
• Superconductivity in the twisted bilayer transition metal dichalcogenide WSe${}_2$ : a quantum cluster study
• Magnetic Bloch Theorem and Reentrant Flat Bands in Twisted Bilayer Graphene at $2\pi$ Flux
• High-order Van Hove singularities and their connection to flat bands
• Pair density wave and loop current promoted by van Hove singularities in moiré systems
• Multilayer graphene with a superlattice potential
• Flat-band plasmons in twisted bilayer transition metal dichalcogenides
• Mixed singlet-triplet superconducting state within the moiré $t$-$J$-$U$ model as applied to the description of twisted WSe${}_2$ bilayer
• Disorder induced 2D metal-insulator transition in moiré transition metal dichalcogenide multilayers
• 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
• Nematic, chiral and topological superconductivity in transition metal dichalcogenides
• Kagome chiral spin liquid in transition metal dichalcogenide moiré bilayers
• Mott-moiré excitons
• Theory of a continuous bandwidth-tuned Wigner-Mott transition
• Designer Meron Lattice on the Surface of a Topological Insulator
• Interaction range and temperature dependence of symmetry breaking in strongly correlated two-dimensional moiré transition metal dichalcogenide bilayers
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Quantum anomalous Hall effect and electric-field-induced topological phase transition in AB-stacked MoTe${}_2$/WSe${}_2$ moiré heterobilayers
• Staggered Pseudo Magnetic Field in Twisted Transition Metal Dichalcogenides: Physical Origin and Experimental Consequences
• Moiré Engineering of Spin-Orbit Coupling in Twisted Platinum Diselenide
• Magic-angle Twisted Bilayer Systems with Quadratic-Band-Touching: Exactly Flat Bands with High-Chern Number
• Cavity Moiré Materials: Controlling Magnetic Frustration with Quantum Light-Matter Interaction
• Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$
• Twist-angle evolution of the intervalley-coherent antiferromagnet in twisted WSe${}_2$
• Probing magnetism in moiré heterostructures with quantum twisting microscopes
• 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
• Twisted-bilayer FeSe and the Fe-based superlattices
• Spinon pairing induced by chiral in-plane exchange and the stabilization of odd-spin Chern number spin liquid in twisted ${\mathrm{MoTe}}_2$
• Switching between Mott-Hubbard and Hund physics in moiré quantum simulators
• Possible Sliding Regimes in Twisted Bilayer WTe${}_2$
• Continuous Mott transition in moiré semiconductors: role of long-wavelength inhomogeneities
• Intrinsically-multilayer moiré heterostructures
• In situ controllable magnetic phases in doped twisted bilayer transition-metal dichalcogenides
• Exact and many-body perturbation solutions of the Hubbard model applied to linear chains
• Approximate symmetries, insulators, and superconductivity in continuum-model description of twisted WSe${}_2$
• The Crossover from Ordinary to Higher-Order van Hove Singularity in a Honeycomb System: A Parquet Renormalization Group Analysis
• Pairing at a single Van Hove point
• Interaction-driven Spontaneous Ferromagnetic Insulating States with Odd Chern Numbers
• Layer Pseudospin Magnetism in Transition-Metal-Dichalcogenide Double-Moirés
• Magnetism and Metallicity in Moiré Transition Metal Dichalcogenides
• Charge and spin properties of a generalized Wigner crystal realized in the moiré WSe${}_2$/WS${}_2$ heterobilayer
• Moiré Band Engineering in Twisted Trilayer WSe2
• Light-Induced Ferromagnetism in Moiré Superlattices
• Pressure-tuned many-body phases through $\Gamma$-K valleytronics in moiré bilayer WSe${}_2$
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Band manipulation and spin texture in interacting moiré helical edges
• Exciton interacting with a moiré lattice: Polarons, strings, and optical probing of spin correlations
• Effect of hole doping on the 120 degree order in the triangular lattice Hubbard model: A Hartree-Fock revisit
• Probing a quantum spin liquid with equilibrium and nonequilibrium hole dynamics
• Angle evolution of the superconducting phase diagram in twisted bilayer WSe2
• Spin-Triplet Excitonic Insulator in the Ultra-Quantum Limit of HfTe5
• Chiral Spin Liquid and Quantum Phase Transition in the Triangular Lattice Hofstadter-Hubbard Model
• Topological Kondo semimetals emulated in hetero-bilayer transition metal dichalcogenides
• Spin-charge bound states and emerging fermions in a quantum spin liquid
• Analogue of atomic collapse for adatoms on rhombohedral multilayer graphene
• Site-polarized Mott phases competing with a correlated metal in twisted WSe${}_2$
• Propagating Collective Spin-valley Modes in Twisted WSe2
• Study of the triangular-lattice Hubbard model with constrained-path quantum Monte Carlo
• Second-order magnetic responses in quantum magnets: Magnetization under ac magnetic fields
• Quantum Hall to Chiral Spin Liquid transition in a Triangular Lattice Hofstadter-Hubbard Model
• Probing Quantum Anomalous Hall States in Twisted Bilayer WSe2 via Attractive Polaron Spectroscopy
• Functional renormalization of spinless triangular-lattice fermions: $N$-patch vs. truncated-unity scheme
• Decomposing Electronic Structures in Twisted Multilayers: Bridging Spectra and Incommensurate Wave Functions
• Probing spatially resolved spin density correlations with trapped excitons
• Electronic phonon-induced magnetism in moiré Mott-Wigner crystals
• Itinerant magnetism in the triangular lattice Hubbard model at half-doping: Application to twisted transition-metal dichalcogenides
• Spin-textured Chern bands in AB-stacked transition metal dichalcogenide bilayers
• Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials
• Pseudogap in the lightly hole-doped triangular-lattice moiré Hubbard model
• Higher Chern bands in helical homotrilayer transition metal dichalcogenides
• Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls
• One-dimensional moiré engineering in zigzag graphene nanoribbons on hBN