Cavity Moiré Materials: Controlling Magnetic Frustration with Quantum Light-Matter Interaction

Abstract

Cavity quantum electrodynamics (QED) studies the interaction between light and matter at the single quantum level and has played a central role in quantum science and technology. Combining the idea of cavity QED with moiré materials, we theoretically show that strong quantum light-matter interaction provides a way to control frustrated magnetism. Specifically, we develop a theory of moiré materials confined in a cavity consisting of thin polar van der Waals crystals. We show that nontrivial quantum geometry of moiré flat bands leads to electromagnetic vacuum dressing of electrons, which produces appreciable changes in single-electron energies and manifests itself as long-range electron hoppings. We apply our general formulation to a twisted transition metal dichalcogenide heterobilayer encapsulated by ultrathin hexagonal boron nitride layers and predict its phase diagram at different twist angles and light-matter coupling strengths. Our results indicate that the cavity confinement enables one to control magnetic frustration of moiré materials and might allow for realizing various exotic phases such as a quantum spin liquid.

arXiv commentfullpaper, 15 pages, 10 figures

References in corpus (102)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Moire bands in twisted double-layer graphene
• Tuning superconductivity in twisted bilayer graphene
• Quantum Spin Liquids
• Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• Graphene bilayer with a twist: electronic structure
• Quantum Spin Liquid States
• Ultrastrong coupling between light and matter
• Observation of Moiré Excitons in WSe2/WS2 Heterostructure Superlattices
• Ultrastrong coupling regimes of light-matter interaction
• Optical detection of Mott and generalized Wigner crystal states in WSe2/WS2 moiré superlattices
• Magic continuum in twisted bilayer WSe2
• Sub-diffractional, volume-confined polaritons in a natural hyperbolic material: hexagonal boron nitride
• Stacking-engineered ferroelectricity in bilayer boron nitride
• Graphene Bilayers with a Twist
• Topological insulators in twisted transition metal dichalcogenide homobilayers
• Hubbard model physics in transition metal dichalcogenide moiré bands
• Tunable Correlated Chern Insulator and Ferromagnetism in Trilayer Graphene/Boron Nitride Moiré Superlattice
• Signatures of Gate-Tunable Superconductivity in Trilayer Graphene/Boron Nitride Moiré Superlattice
• Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
• Abundance of correlated insulating states at fractional fillings of WSe${}_2$/WS${}_2$ moiré superlattices
• Conductivity in organic semiconductors hybridized with the vacuum field
• Spin-polarized Correlated Insulator and Superconductor in Twisted Double Bilayer Graphene
• Atoms and Molecules in Cavities: From Weak to Strong Coupling in QED Chemistry
• Moiré heterostructures as a condensed matter quantum simulator
• Ultrastrong coupling of the cyclotron transition of a two-dimensional electron gas to a THz metamaterial
• Evidence of Gate-Tunable Mott Insulator in Trilayer Graphene-Boron Nitride Moiré Superlattice
• Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
• Maximally-localized Wannier orbitals and the extended Hubbard model for the twisted bilayer graphene
• The Hubbard Model
• Strongly Correlated Chern Insulators in Magic-Angle Twisted Bilayer Graphene
• Ultra-low-loss Polaritons in Isotopically Pure Materials: A New Approach
• Moiré superlattice in a MoSe${}_2$/hBN/MoSe${}_2$ heterostructure: from coherent coupling of inter- and intra-layer excitons to correlated Mott-like states of electrons
• Flat bands in twisted bilayer transition metal dichalcogenides
• Cavity-induced modifications of molecular structure in the strong coupling regime
• Superfluidity and Quantum Geometry in Twisted Multilayer Systems
• Continuous Mott transition in semiconductor moiré superlattices
• Correlated Insulating States at Fractional Fillings of the WS2/WSe2 Moiré Lattice
• Observation of fractional Chern insulators in a van der Waals heterostructure
• Correlated Insulating States in Twisted Double Bilayer Graphene
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Cavity Quantum Materials
• Cavity-mediated electron-photon superconductivity
• Terahertz light-matter interaction beyond unity coupling strength
• Stripe phases in WSe2/WS2 moiré superlattices
• Collective, Coherent, and Ultrastrong Coupling of 2D Electrons with Terahertz Cavity Photons
• Strongly-Correlated Electron-Photon Systems
• Fractional fractal quantum Hall effect in graphene 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${}_2$
• Multi-flat bands and strong correlations in Twisted Bilayer Boron Nitride
• Magneto-transport controlled by Landau polariton states
• Ultrastrong Coupling in the Near-field of Complementary Split Ring Resonators
• Quantum Electrodynamic Control of Matter: Cavity-Enhanced Ferroelectric Phase Transition
• Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet
• Cavity Quantum Eliashberg Enhancement of Superconductivity
• Ultrastrong coupling between a cavity resonator and the cyclotron transition of a 2D electron gas in the case of integer filling factor
• Light-Matter Response in Non-Relativistic Quantum Electrodynamics: Quantum Modifications of Maxwell's Equations
• Electromagnetic coupling in tight-binding models for strongly correlated light and matter
• Quantum Phase Diagram of a Moiré-Hubbard Model
• Hartree-Fock study of the moiré Hubbard model for twisted bilayer transition metal dichalcogenides
• Cavity Quantum-Electrodynamical Chern Insulator: Route Towards Light-Induced Quantized Anomalous Hall Effect in Graphene
• The Ferroelectric Photo-Groundstate of SrTiO${}_3$: Cavity Materials Engineering
• Cavity Quantum Electrodynamics at Arbitrary Light-Matter Coupling Strengths
• Large Enhancement of Ferro-Magnetism under Collective Strong Coupling of YBCO Nanoparticles
• Competing phases of interacting electrons on triangular lattices in moiré heterostructures
• Manipulating quantum materials with quantum light
• Competing correlated states and abundant orbital magnetism in twisted monolayer-bilayer graphene
• High quality nanocavities through multimodal confinement of hyperbolic polaritons in hexagonal boron nitride
• Light-matter coupling and quantum geometry in moiré materials
• Topological phases of polaritons in a cavity waveguide
• Chiral spin liquid with spinon Fermi surfaces in spin-$1/2$ triangular Heisenberg model
• Polaritonic Hofstadter Butterfly and Cavity-Control of the Quantized Hall Conductance
• Designing Ultra-Flat Bands in Twisted Bilayer Materials at Large Twist Angles without specific degree
• Metal-insulator transition in transition metal dichalcogenide heterobilayer moiré superlattices
• Polaron-Polaritons in the Integer and Fractional Quantum Hall Regimes
• Quantum Electrodynamical Bloch Theory with Homogeneous Magnetic Fields
• Manipulating type-I and type-II Dirac polaritons in cavity-embedded honeycomb metasurfaces
• Landau polaritons in highly non-parabolic 2D gases in the ultra-strong coupling regime
• Thermodynamics of ultrastrongly coupled light-matter systems
• Dynamical Mean Field Theory of Moiré Bilayer Transition Metal Dichalcogenides: Phase Diagram, Resistivity, and Quantum Criticality
• TMDs as a platform for spin liquid physics: A strong coupling study of twisted bilayer WSe${}_2$
• Dynamical Signatures of Symmetry Broken and Liquid Phases in an $S=1/2$ Heisenberg Antiferromagnet on the Triangular Lattice
• Cavity control of nonlinear phononics
• Effective theory of lattice electrons strongly coupled to quantum electromagnetic fields
• Controlling the magnetic state of the proximate quantum spin liquid $\alpha$-RuCl${}_3$ with an optical cavity
• Nonperturbative Waveguide Quantum Electrodynamics
• Effective theory for matter in non-perturbative cavity QED
• Universal pair-polaritons in a strongly interacting Fermi gas
• Superconducting complementary metasurfaces for THz ultrastrong light-matter coupling
• Cavity Quantum Electrodynamics with Hyperbolic van der Waals Materials
• Mott polaritons in cavity-coupled quantum materials
• Berry Phase and Topology in Ultrastrongly Coupled Quantum Light-Matter Systems
• Fluctuating Nature of Light-Enhanced $d$-Wave Superconductivity: A Time-Dependent Variational Non-Gaussian Exact Diagonalization Study
• Vacuum anomalous Hall effect in gyrotropic cavity
• Spin liquid in twisted homobilayers group-VI gichalcogenides

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• Emergent Haldane Model and Photon-Valley Locking in Chiral Cavities
• Role of Bath-Induced Many-Body Interactions in the Dissipative Phases of the Su-Schrieffer-Heeger Model
• Cavity-enhanced Kondo effect
• Bound polariton states in the Dicke-Ising model
• Cavity Quantum Hall Hydrodynamics
• General theory of cavity-mediated interactions between low-energy matter excitations
• Separation of relaxation timescales via strong system-bath coupling: Dissipative three-level system as a case study
• Chern insulators and topological flat bands in cavity-embedded kagome systems