Quantum Phase Diagram of a Moiré-Hubbard Model

Abstract

We theoretically study a generalized Hubbard model on moiré superlattices of twisted bilayers, and find very rich filling-factor-dependent quantum phase diagrams tuned by interaction strength and twist angle. Strong long-range Coulomb interaction in the moiré-Hubbard model induces Wigner crystals at a series of fractional filling factors. The effective lattice of the Wigner crystal is controlled by the filling factor, and can be triangle, rectangle, honeycomb, kagome, etc, providing a single platform to realize many different spin models on various lattices by simply tuning carrier density. In addition to Wigner crystals that are topologically trivial, interaction-induced Chern insulators emerge in the phase diagram. This finding paves a way for engineering interaction-induced quantum anomalous Hall effect in moiré-Hubbard systems where the corresponding single-particle moiré band is topologically trivial.

arXiv comment5 + 7 pages, 6 + 12 figures

References in corpus (13)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Moire bands in twisted double-layer graphene
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Optical detection of Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
• Magic continuum in twisted bilayer WSe2
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Topological insulators in twisted transition metal dichalcogenide homobilayers
• Hubbard model physics in transition metal dichalcogenide moiré bands
• Ultraflat bands and shear solitons in Moiré patterns of twisted bilayer transition metal dichalcogenides
• 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${}_2$
• Spiral magnetism in the single-band Hubbard model: the Hartree-Fock and slave-boson approaches

Cited by in corpus (89)

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• Non-local interactions in moiré Hubbard systems
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• Magnetism and Quantum Melting in Moiré-Material Wigner Crystals
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• Bosonic Delocalization of Dipolar Moiré Excitons
• Breakdown of the static dielectric screening approximation of Coulomb interactions in atomically thin semiconductors
• Disorder induced 2D metal-insulator transition in moiré transition metal dichalcogenide multilayers
• Quantum oscillations in 2D insulators induced by graphite gates
• Nematic, chiral and topological superconductivity in transition metal dichalcogenides
• Kagome chiral spin liquid in transition metal dichalcogenide moiré bilayers
• Mott-moiré excitons
• Observation of spin-wave moiré edge and cavity modes in twisted magnetic lattices
• Interaction range and temperature dependence of symmetry breaking in strongly correlated two-dimensional moiré transition metal dichalcogenide bilayers
• Magic-angle Twisted Bilayer Systems with Quadratic-Band-Touching: Exactly Flat Bands with High-Chern Number
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• Cavity Moiré Materials: Controlling Magnetic Frustration with Quantum Light-Matter Interaction
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• Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$
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• Accurate force-field methodology capturing atomic reconstructions in transition metal dichalcogenide moiré systems
• Doping a Wigner-Mott insulator: Exotic charge orders in transition-metal dichalcogenide moiré heterobilayers
• Majorana zero modes in twisted transition metal dichalcogenides homobilayers
• Continuous Mott transition in moiré semiconductors: role of long-wavelength inhomogeneities
• Competing Generalized Wigner Crystal States in Moiré Heterostructures
• Evolution of flat bands in MoSe${}_2$/WSe${}_2$ moiré lattices: A study combining machine learning and band unfolding methods
• Mott insulators in moiré transition metal dichalcogenides at fractional fillings: Slave-rotor mean-field theory
• Spin-polarons and ferromagnetism in doped dilute Wigner-Mott insulators
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• Excitonic thermalization bottleneck in twisted TMD heterostructures
• Layer Pseudospin Magnetism in Transition-Metal-Dichalcogenide Double-Moirés
• Collective optical properties of moiré excitons
• Site-selective insulating phase in twisted bilayer Hubbard model
• Exciton and light induced ferromagnetism from doping a moiré Mott insulator
• Phonons of electronic crystals in two-dimensional semiconductor moiré patterns
• Light-Induced Ferromagnetism in Moiré Superlattices
• Moiré Band Engineering in Twisted Trilayer WSe2
• Exciton interacting with a moiré lattice: Polarons, strings, and optical probing of spin correlations
• Kanamori-Moiré-Hubbard model for transition metal dichalcogenide homobilayers
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
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• Continuous Wigner-Mott transition at $\nu =1/5$
• Stability of Wigner crystals and Mott insulators in twisted moiré structures
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• The Wigner localization of interacting electrons in a one-dimensional harmonic potential
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• Moiré excitons in generalized Wigner crystals
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