Moiré heterostructures as a condensed matter quantum simulator

Abstract

Twisted van der Waals heterostructures have latterly received prominent attention for their many remarkable experimental properties, and the promise that they hold for realising elusive states of matter in the laboratory. We propose that these systems can, in fact, be used as a robust quantum simulation platform that enables the study of strongly correlated physics and topology in quantum materials. Among the features that make these materials a versatile toolbox are the tunability of their properties through readily accessible external parameters such as gating, straining, packing and twist angle; the feasibility to realize and control a large number of fundamental many-body quantum models relevant in the field of condensed-matter physics; and finally, the availability of experimental readout protocols that directly map their rich phase diagrams in and out of equilibrium. This general framework makes it possible to robustly realize and functionalize new phases of matter in a modular fashion, thus broadening the landscape of accessible physics and holding promise for future technological applications.

Invited to Nature Physics

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• Skyrmions in the moiré of van der Waals 2D magnets
• One-Dimensional Moiré Excitons in Transition-Metal Dichalcogenide Heterobilayers
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• Cavity-mediated electron-photon superconductivity
• Visualizing Exotic Orbital Texture in the Single-Layer Mott Insulator 1T-TaSe2
• Interfacial Charge Transfer Circumventing Momentum Mismatch at 2D van der Waals Heterojunctions
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• Three Dimensional Metallic and Two Dimensional Insulating Behavior in Tantalum Dichalcogenides
• Magnetic Two-Dimensional Chromium Trihalides: A Theoretical Perspective
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• Tunable crystal symmetry in graphene-boron nitride heterostructures with coexisting moiré superlattices
• Local spectroscopy of moiré-induced electronic structure in gate-tunable twisted bilayer graphene
• Superradiant Quantum Materials
• A parity-breaking electronic nematic phase transition in the spin-orbit coupled metal Cd${}_2$Re${}_2$O${}_7$
• One-dimensional flat bands in twisted bilayer germanium selenide
• Helical Network Model for Twisted Bilayer Graphene
• Cavity control of Excitons in two dimensional Materials
• Stacking Domain Wall Magnons in Twisted van der Waals Magnets
• Moiré metrology of energy landscapes in van der Waals heterostructures
• Tunable strain soliton networks confine electrons in Van der Waals materials
• Multi-messenger nano-probes of hidden magnetism in a strained manganite
• Gate-dependent Pseudospin Mixing in Graphene/Boron Nitride Moire Superlattices
• Exploring Superconductivity under Strong Coupling with the Vacuum Electromagnetic Field
• Universal Optical Control of Chiral Superconductors and Majorana Modes
• Flat band in twisted bilayer Bravais lattices
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Cited by in corpus (279)

• 2D Materials for Future Heterogeneous Electronics
• Quantum anomalous Hall effect from intertwined moiré bands
• Nonthermal pathways to ultrafast control in quantum materials
• Observation of integer and fractional quantum anomalous Hall effects in twisted bilayer MoTe2
• Superfluidity and Quantum Geometry in Twisted Multilayer Systems
• Light-induced emergent phenomena in 2D materials and topological materials
• Cavity Quantum Materials
• Strongly-Correlated Electron-Photon Systems
• Fractional Chern Insulator in Twisted Bilayer MoTe${}_2$
• Atomic Bose-Einstein condensate in a twisted-bilayer optical lattice
• The Quantum Twisting Microscope
• Time- and Angle-Resolved Photoemission Studies of Quantum Materials
• Tunable bilayer Hubbard model physics in twisted WSe2
• Twist engineering of the two-dimensional magnetism in double bilayer chromium triiodide homostructures
• Gate-tunable heavy fermions in a moiré Kondo lattice
• Mott insulating states with competing orders in the triangular lattice Hubbard model
• Correlated insulator of excitons in WSe2/WS2 moiré superlattices
• Programming moiré patterns in 2D materials by bending
• Mapping twist-tuned multiband topology in bilayer WSe${}_2$
• Dipolar quantum solids emerging in a Hubbard quantum simulator
• Hierarchy of Ideal Flatbands in Chiral Twisted Multilayer Graphene Models
• Correlated Hofstadter Spectrum and Flavor Phase Diagram in Magic Angle Graphene
• Topological and stacked flat bands in bilayer graphene with a superlattice potential
• Hyperspectral imaging of excitons within a moiré unit-cell with a sub-nanometer electron probe
• Evidence of Noncollinear Spin Texture in Magnetic Moiré Superlattices
• Maximally Localized Wannier Orbitals, Interaction Models and Fractional Quantum Anomalous Hall Effect in Twisted Bilayer MoTe2
• Roadmap for Photonics with 2D Materials
• Observation of Floquet states in graphene
• Cavity-induced quantum spin liquids
• Bipolaronic high-temperature superconductivity
• Correlated insulators, semimetals, and superconductivity in twisted trilayer graphene
• Unconventional Superconductivity in Magic-Angle Twisted Trilayer Graphene
• Light-matter coupling and quantum geometry in moiré materials
• Non-local interactions in moiré Hubbard systems
• Two-dimensional Thouless pumping of light in photonic moiré lattices
• Tunable moiré materials for probing Berry physics and topology
• Pair correlations in the two-orbital Hubbard ladder: Implications on superconductivity in the bilayer nickelate La${}_3$Ni${}_2$O${}_7$
• Sensing the local magnetic environment through optically active defects in a layered magnetic semiconductor
• Frustrated magnetic interactions in a Wigner-Mott insulator
• Polaritonic Hofstadter Butterfly and Cavity-Control of the Quantized Hall Conductance
• Moiré-Bose-Hubbard model for interlayer excitons in twisted transition metal dichalcogenide heterostructures
• Spatial coherence of room-temperature monolayer WSe${}_2$ exciton-polaritons in a trap
• Extended Bose-Hubbard model with dipolar excitons
• Visualizing moiré ferroelectricity via plasmons and nano-photocurrent in graphene/twisted-WSe2 structures
• Intercell Moiré Exciton Complexes in Electron Lattices
• Reentrant Correlated Insulators in Twisted Bilayer Graphene at 25T ($2\pi$ Flux)
• Exciton density waves in Coulomb-coupled dual moiré lattices
• Dynamical correlations and order in magic-angle twisted bilayer graphene
• Progress and Prospects in Two-Dimensional Magnetism of van der Waals Materials
• TMDs as a platform for spin liquid physics: A strong coupling study of twisted bilayer WSe${}_2$
• Multiple Chern bands in twisted MoTe${}_2$ and possible non-Abelian states
• Twist-angle tunable spin texture in WSe${}_2$/graphene van der Waals heterostructures
• Epitaxial Growth of Ultraflat Bismuthene with Large Topological Band Inversion Enabled by Substrate-Orbital-Filtering Effect
• A Two-Dimensional Metal-Organic Framework on Superconducting NbSe${}_2$
• TSTG I: Single-Particle and Many-Body Hamiltonians and Hidden Non-local Symmetries of Trilayer Moiré Systems with and without Displacement Field
• Experimental observation of ABCB stacked tetralayer graphene
• Chiral Phonons in Moiré Superlattices
• Ultra-Strong Spin-Orbit Coupling and Topological Moiré Engineering in Twisted ZrS2 Bilayers
• Evidence for Exciton Crystals in a 2D Semiconductor Heterotrilayer
• Tunable spin and valley excitations of correlated insulators in $\Gamma$-valley moiré bands
• Polar Metals Taxonomy for Materials Classification and Discovery
• Mixing of surface and bulk electronic states at a graphite-hexagonal boron nitride interface
• Unconventional Nonlocal Relaxation Dynamics in a Twisted Graphene Moire Superlattice
• Time-Reversal Even Charge Hall Effect from Twisted Interface Coupling
• Competition of Density Waves and Superconductivity in Twisted Tungsten Diselenide
• Exciton spectroscopy and diffusion in MoSe2-WSe2 lateral heterostructures encapsulated in hexagonal boron nitride
• Observation of stacking engineered magnetic phase transitions within moiré supercells of twisted van der Waals magnets
• Importance of long-ranged electron-electron interactions for the magnetic phase diagram of twisted bilayer graphene
• Ultrafast dynamics of bright and dark excitons in monolayer WSe${}_2$ and heterobilayer WSe${}_2$/MoS${}_2$
• Tunable quantum criticalities in an isospin extended Hubbard model simulator
• Effective theory of lattice electrons strongly coupled to quantum electromagnetic fields
• Surface ferromagnetism in rhombohedral heptalayer graphene moire superlattice
• Controlling the magnetic state of the proximate quantum spin liquid $\alpha$-RuCl${}_3$ with an optical cavity
• A room-temperature moiré interlayer exciton laser
• Twistronics of Janus transition metal dichalcogenide bilayers
• Synthetic dimensions for topological and quantum phases: Perspective
• Theory of triangulene two-dimensional crystals
• On-chip time-domain terahertz spectroscopy of superconducting films below the diffraction limit
• Electric-field-tunable electronic nematic order in twisted double-bilayer graphene
• Hofstadter states and reentrant charge order in a semiconductor moiré lattice
• Quantum Phases of Transition Metal Dichalcogenide Moiré Systems
• A Non-Hermitian Moiré Valley Filter
• High-order Van Hove singularities and their connection to flat bands
• 3/2 magic-angle quantization rule of flat bands in twisted bilayer graphene and relationship with the Quantum Hall effect
• TU${}^2$FRG -- a scalable approach for truncated unity functional renormalization group in generic fermionic models
• Multilayer graphene with a superlattice potential
• Moiré-induced optical non-linearities: Single and multi-photon resonances
• Doping phase diagram of a Hubbard model for twisted bilayer cuprates
• Amperean superconductivity cannot be induced by deep subwavelength cavities in a two-dimensional material
• Voltage-controlled long-range propagation of indirect excitons in van der Waals heterostructure
• Gate-tunable topological phases in superlattice modulated bilayer graphene
• Interactions mediated by atoms, photons, electrons, and excitons
• Electronic instabilities in Penrose quasi-crystals: competition, coexistence and collaboration of order
• Mott-moiré excitons
• Leaky exciton condensates in transition metal dichalcogenide moiré bilayers
• Microscopic Theory of Ultrafast Skyrmion Excitation by Light
• Flat bands, electron interactions and magnetic order in magic-angle mono-trilayer graphene
• Crossed Nonlinear Dynamical Hall Effect in Twisted Bilayers
• High-Angular-Momentum Topological Superconductivity in the Largest-Angle Twisted Homo-bilayer Systems
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Suppression of non-equilibrium quasiparticle transport in flat band superconductors
• Tunable Strong Magnetic Anisotropy in Two-Dimensional van der Waals Antiferromagnets
• Controlling electronic topology in a strongly correlated electron system
• Multi-layered atomic relaxation in van der Waals heterostructures
• Moiré phonons and impact of electronic symmetry breaking in twisted trilayer graphene
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• Topological multiferroic order in twisted transition metal dichalcogenide bilayers
• Moiré Engineering of Spin-Orbit Coupling in Twisted Platinum Diselenide
• Domain-dependent surface adhesion in twisted few-layer graphene: Platform for moiré-assisted chemistry
• The strong modulation limit of excitons and trions in moiré materials
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• Cavity-enhanced superconductivity via band engineering
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• Non-equilibrium correlation dynamics in the one-dimensional Fermi-Hubbard model: A testbed for the two-particle reduced density matrix theory
• Cavity Moiré Materials: Controlling Magnetic Frustration with Quantum Light-Matter Interaction
• Doping-dependent charge- and spin-density wave orderings in a monolayer of Pb adatoms on Si(111)
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• Colloquium: Synthetic quantum matter in non-standard geometries
• Dynamical exciton condensates in biased electron-hole bilayers
• Order by disorder in classical kagome antiferromagnets with chiral interactions
• Proposal for asymmetric photoemission and tunneling spectroscopies in quantum simulators of the triangular-lattice Fermi-Hubbard model
• Switching between Mott-Hubbard and Hund physics in moiré quantum simulators
• Quantitative determination of interlayer electronic coupling at various critical points in bilayer MoS2
• Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$
• Interlayer donor-acceptor pair excitons in MoSe2/WSe2 moiré heterobilayer
• ${\mathbb{Z}}_2$-Nontrivial Moiré Minibands and Interaction-Driven Quantum Anomalous Hall Insulators in Topological Insulator Based Moiré Heterostructures
• Light-induced switching between singlet and triplet superconducting states
• Spin and Charge Fluctuation Induced Pairing in ABCB Tetralayer Graphene
• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• General scatterings and electronic states in the quantum-wire network of moiré systems
• A New Moiré Platform Based on M-Point Twisting
• Direct measurement of terahertz conductivity in a gated monolayer semiconductor
• Emus live on the Gross-Neveu-Yukawa archipelago
• Collective excitations of a Bose-Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
• Prediction of polarization vortices, charge modulation, flat bands, and moiré magnetism in twisted oxide bilayers
• Twisted bilayer graphene at charge neutrality: competing orders of SU(4) Dirac fermions
• Interacting phase diagram of twisted bilayer MoTe${}_2$ in magnetic field
• Twisted Bogoliubov quasiparticles in the superconducting NbSe${}_2$ monolayer on graphene
• Theory of intrinsic acoustic plasmons in twisted bilayer graphene
• 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
• Evolution of flat bands in MoSe${}_2$/WSe${}_2$ moiré lattices: A study combining machine learning and band unfolding methods
• Coherent Modulation of Two-Dimensional Moiré States with On-Chip THz Waves
• Polaritons in an electron gas -- quasiparticles and Landau effective interactions
• Fundamental limits of few-layer NbSe${}_2$ microbolometers at terahertz frequencies
• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Controllable magnetic domains in twisted trilayer magnets
• One-Dimensional Moiré Physics and Chemistry in Heterostrained Bilayer Graphene
• Proximity-driven ferromagnetism and superconductivity in the triangular Rashba-Hubbard model
• Doping fingerprints of spin and lattice fluctuations in moiré superlattice systems
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• Superradiance of Strongly Interacting Dipolar Excitons in Moiré Quantum Materials
• Photonics in Flatland: Challenges and Opportunities for Nanophotonics with 2D Semiconductors
• Tuning Dirac nodes with correlated d-electrons in BaCo_{1-x}Ni_{x}S_{2}
• Halide perovskite artificial solids as a new platform to simulate collective phenomena in doped Mott insulators
• Artificial heavy fermions in a van der Waals heterostructure
• Lieb's Theorem and Maximum Entropy Condensates
• Quantum Physics in Connected Worlds
• Revealing flat bands and hybridization gaps in a twisted bilayer graphene device with microARPES
• Superconductivity in doped triangular Mott insulators: the roles of parent spin backgrounds and charge kinetic energy
• Band gap formation in commensurate twisted bilayer graphene/hBN moiré lattices
• Flat-band-induced superconductivity in synthetic bilayer optical lattices
• Moiré exciton condensate: nonlinear Dirac point, broken-symmetry Bloch waves and unusual optical selection rules
• Resource theory of heat and work with non-commuting charges
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• Direct visualization of defect-controlled diffusion in van der Waals gaps
• Moir{é} pattern assisted geometric resonant tunneling in disordered twisted bilayer graphene
• Electrons surf phason waves in moiré bilayers
• Giant anisotropic band flattening in twisted $\Gamma$ valley semiconductor bilayers
• Emerging chirality and moiré dynamics in twisted layered material heterostructures
• Topological Mixed Valence Model in Magic-Angle Twisted Bilayer Graphene
• Coupled system of electrons and exciton-polaritons: Screening, dynamical effects, and superconductivity
• Giant chirality-induced spin polarization in twisted transition metal dichalcogenides
• Tuning of Bilayer Graphene Heterostructure by Horizontally Incident Circular Polarized Light
• Electromagnetic field assisted exciton diffusion in moiré superlattices
• Implementation and characterization of the dice lattice in the electron quantum simulator
• Tunable exciton valley-pseudospin orders in moiré Bose-Hubbard model
• The Coming Decades of Quantum Simulation
• Magnetism and Metallicity in Moiré Transition Metal Dichalcogenides
• Collective optical properties of moiré excitons
• Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice
• Interaction induced moiré systems in twisted bilayer optical lattices
• Piezoelectric Electrostatic Superlattices in Monolayer MoS${}_2$
• Supersymmetry dictated topology in periodic gauge fields and realization in strained and twisted 2D materials
• Ferromagnetic semimetal and charge-density wave phases of interacting electrons in a honeycomb moiré potential
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• Twist Engineering of Anisotropic Excitonic and Optical Properties of a Two-Dimensional Magnetic Semiconductor
• Superfluid weight cross-over and critical temperature enhancement in singular flat bands
• Kanamori-Moiré-Hubbard model for transition metal dichalcogenide homobilayers
• Tunable $t-t^{\prime }-U$ Hubbard models in twisted square homobilayers
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• Short vs. long range exchange interactions in twisted bilayer graphene
• Moiré Modulation of Charge Density Waves
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• Topologically nontrivial and trivial flat bands via weak and strong interlayer coupling in twisted bilayer honeycomb optical lattices for ultracold atoms
• Considerations for extracting moiré-level strain from dark field intensities in transmission electron microscopy
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• Intermediate-scale theory for electrons coupled to frustrated local-moments
• A New Era of Quantum Materials Mastery and Quantum Simulators In and Out of Equilibrium
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• Quantum simulation of honeycomb lattice model by high-order moiré pattern
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• Nanoscale observation and control of quasiparticle induced magnetic noise in a superconducting resonator
• Superconductivity of Incoherent Electrons near the Relativistic Mott Transition in Twisted Dirac Materials
• Geometrical properties of strained and twisted moiré heterostructures
• Many-Body Entanglement in Solid-State Emitters
• Floquet Hofstadter butterfly in trilayer graphene with a twisted top layer
• Family of Aperiodic Tilings with Tunable Quantum Geometric Tensor
• Tuning monolayer superconductivity in twisted NbSe${}_2$ graphene heterostructures
• Anisotropic moiré band flattening in twisted bilayers of M-valley MXenes
• Electronic procrystalline state in moire structures
• Magnetic Moiré Systems: a review
• Interface engineering of van der Waals heterostructures towards energy-efficient quantum devices operating at high temperatures
• Light-matter interactions in layered materials and heterostructures: from moiré physics and magneto-optical effects to ultrafast dynamics and hybrid meta-photonics
• Visualizing Electronic Structure of Twisted Bilayer MoTe2 in Devices
• Coulomb drag in metallic twisted bilayer graphene
• Superconducting Cavity-Based Sensing of Band Gaps in 2D Materials
• Signatures of superconducting pairing driven by electron-electron interactions in moiré WSe${}_2$/WSe${}_2$ homobilayer modelled by Hubbard Hamiltonian
• Gap labeling theorem for multilayer thin film heterostructures
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• Long wavelength interdomain phonons and instability of dislocations in small-angle twisted bilayers
• Versatile multi-q antiferromagnetic charge order in correlated vdW metals
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• Quantum Hall to Chiral Spin Liquid transition in a Triangular Lattice Hofstadter-Hubbard Model
• Flat-band projected versus fully atomistic twisted bilayer graphene
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• Manipulating Charge Distribution in Moiré Superlattices by Light
• Fermi energy sensitive universal conductance fluctuations in anisotropic materials
• Selective Kondo screening and strange metallicity by sliding Dirac semimetals
• Super Moiré Domain Tessellations, Sliding Ferroelectricity, and Reconfigurable Quantum Dot Arrays in Twisted Trilayer Hexagonal Boron Nitride
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• Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials
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• Magnetic and nematic order of Bose-Fermi mixtures in moiré superlattices of 2D semiconductors
• Magnetic Ordering in Moiré Graphene Multilayers from a Continuum Hartree+U Approach
• Spin-textured Chern bands in AB-stacked transition metal dichalcogenide bilayers
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