Non-local interactions in moiré Hubbard systems

Abstract

Moiré materials formed in two-dimensional semiconductor heterobilayers are quantum simulators of Hubbard-like physics with unprecedented electron-density and interaction-strength tunability. Compared to atomic scale Hubbard-like systems, electrons or holes in moiré materials are less strongly attracted to their effective lattice sites because these are defined by finite-depth potential extrema. As a consequence, non-local interaction terms like interaction-assisted hopping and intersite-exchange are more relevant. We theoretically demonstrate the possibility of tuning the strength of these coupling constants to favor unusual states of matter, including spin liquids, insulating ferromagnets, and superconductors.

arXiv comment10 pages, 7 figures

References in corpus (25)

• Maximally-localized generalized Wannier functions for composite energy bands
• Tuning superconductivity in twisted bilayer graphene
• Optical detection of Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
• Topological insulators in twisted transition metal dichalcogenide homobilayers
• Hubbard model physics in transition metal dichalcogenide moiré bands
• Abundance of correlated insulating states at fractional fillings of WSe${}_2$/WS${}_2$ moiré superlattices
• Moiré heterostructures as a condensed matter quantum simulator
• Quantum anomalous Hall effect from intertwined moiré bands
• Continuous Mott transition in semiconductor moiré superlattices
• Correlated Insulating States at Fractional Fillings of the WS2/WSe2 Moiré Lattice
• Quantum Criticality in Twisted Transition Metal Dichalcogenides
• Dynamic band structure tuning of graphene moiré superlattices with pressure
• Stripe phases in WSe2/WS2 moiré superlattices
• $\Gamma$-Valley Transition-Metal-Dichalcogenide Moirè Bands
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe${}_2$
• Moiré quantum chemistry: charge transfer in transition metal dichalcogenide superlattices
• Quantum Phase Diagram of a Moiré-Hubbard Model
• Hartree-Fock study of the moiré Hubbard model for twisted bilayer transition metal dichalcogenides
• Valley-Polarized Quantum Anomalous Hall State in Moiré MoTe${}_2$/WSe${}_2$ Heterobilayers
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Metal-insulator transition in transition metal dichalcogenide heterobilayer moiré superlattices
• Fractional quantum Hall states for moiré superstructures in the Hofstadter regime
• Competing magnetic states in transition metal dichalcogenide moiré materials
• New mechanism and exact theory of superconductivity from strong repulsive interaction

Cited by in corpus (39)

• Kinetic Magnetism in Triangular Moiré Materials
• Frustrated magnetic interactions in a Wigner-Mott insulator
• Interaction-driven topological phase diagram of twisted bilayer MoTe${}_2$
• Dynamical Mean Field Theory of Moiré Bilayer Transition Metal Dichalcogenides: Phase Diagram, Resistivity, and Quantum Criticality
• Magnetism and Quantum Melting in Moiré-Material Wigner Crystals
• Twistronics of Janus transition metal dichalcogenide bilayers
• Chiral Pseudo Spin Liquids in Moire Heterostructures
• Electrically tuned topology and magnetism in twisted bilayer MoTe${}_2$ at ${\nu }_h=1$
• Metal-insulator transition in transition metal dichalcogenide heterobilayer: accurate treatment of interaction
• 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
• Kagome chiral spin liquid in transition metal dichalcogenide moiré bilayers
• Staggered Pseudo Magnetic Field in Twisted Transition Metal Dichalcogenides: Physical Origin and Experimental Consequences
• Kondo effect and its destruction in hetero-bilayer transition metal dichalcogenides
• Probing magnetism in moiré heterostructures with quantum twisting microscopes
• Topological Kondo semimetal and insulator in AB-stacked heterobilayer transition metal dichalcogenides
• Pseudogap metal and magnetization plateau from doping moiré Mott insulator
• Spin-polarons and ferromagnetism in doped dilute Wigner-Mott insulators
• Extended Hubbard model describing small multi-dot arrays in bilayer graphene
• Layer Pseudospin Magnetism in Transition-Metal-Dichalcogenide Double-Moirés
• Site-selective insulating phase in twisted bilayer Hubbard model
• Particle-hole asymmetric ferromagnetism and spin textures in the triangular Hubbard-Hofstadter model
• Exciton interacting with a moiré lattice: Polarons, strings, and optical probing of spin correlations
• Band structure and band topology in twisted homotrilayer transition metal dichalcogenides
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• Kanamori-Moiré-Hubbard model for transition metal dichalcogenide homobilayers
• Itinerant ferromagnetism in transition metal dichalcogenides moiré superlattices
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Probing a quantum spin liquid with equilibrium and nonequilibrium hole dynamics
• Magnetic properties of moiré quantum dot arrays
• Origin and stability of generalized Wigner crystallinity in triangular moiré systems
• Topological Kondo semimetals emulated in hetero-bilayer transition metal dichalcogenides
• Spin-charge bound states and emerging fermions in a quantum spin liquid
• Purely electronic model for exciton-polaron formation in moiré heterostructures
• Geometry-Driven Moiré Engineering in Twisted Bilayers of High-Pseudospin Fermions
• Study of the triangular-lattice Hubbard model with constrained-path quantum Monte Carlo
• Non-local interactions and supersolidity of moiré excitons
• Higher Chern bands in helical homotrilayer transition metal dichalcogenides
• Effective long-range attraction of moiré excitons under the influence of atomic reconstructions and anisotropic screening
• Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials