Model for Metal-Insulator Transition in Graphene Superlattices and Beyond

Abstract

We propose a two-orbital Hubbard model on an emergent honeycomb lattice to describe the low-energy physics of twisted bilayer graphene. Our model provides a theoretical basis for studying metal-insulator transition, Landau level degeneracy lifting and unconventional superconductivity that are recently observed.

Maintext: 10 pages, 5 figures. Supplementary Material: 5 pages, 4 figures

References in corpus (10)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Flat Bands in Slightly Twisted Bilayer Graphene
• Continuum Model of the Twisted Bilayer
• Lattice relaxation and energy band modulation in twisted bilayer graphenes
• Superlattice-induced insulating states and valley-protected orbits in twisted bilayer graphene
• Numerical studies of confined states in rotated bilayers of graphene
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Spin-orbital quantum liquid on the honeycomb lattice
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Cited by in corpus (219)

• Tuning superconductivity in twisted bilayer graphene
• Magic Angle Spectroscopy
• Graphene Bilayers with a Twist
• Origin of Magic Angles in Twisted Bilayer Graphene
• Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
• Moiré heterostructures as a condensed matter quantum simulator
• 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
• All "Magic Angles" Are "Stable" Topological
• Theory of phonon-mediated superconductivity in twisted bilayer graphene
• Topological Superconductivity in Twisted Multilayer Graphene
• Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene
• Twisted Bilayer Graphene: A Phonon Driven Superconductor
• Failure of Nielsen-Ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: application to twisted bilayer graphene at magic angle
• A mechanism for anomalous Hall ferromagnetism in twisted bilayer graphene
• Band Structure of Twisted Bilayer Graphene: Emergent Symmetries, Commensurate Approximants and Wannier Obstructions
• Symmetry, maximally localized Wannier states, and low energy model for the twisted bilayer graphene narrow bands
• Electrostatic effects, band distortions and superconductivity in twisted graphene bilayers
• Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene
• Chiral SDW and d + id superconductivity in the magic-angle twisted bilayer-graphene
• An exact continuum model for low-energy electronic states of twisted bilayer graphene
• Topology-Bounded Superfluid Weight In Twisted Bilayer Graphene
• Magic Angle Hierarchy in Twisted Graphene Multilayers
• MATBG as Topological Heavy Fermion: I. Exact Mapping and Correlated Insulators
• Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
• The pseudo-Landau-level representation of twisted bilayer graphene: band topology and the implications on the correlated insulating phase
• Phases of a phenomenological model of twisted bilayer graphene
• Designing Flat Band by Strain
• Quantum valley Hall effect, orbital magnetism, and anomalous Hall effect in twisted multilayer graphene systems
• Twisted Bilayer Graphene IV. Exact Insulator Ground States and Phase Diagram
• Strong Correlations and d+id Superconductivity in Twisted Bilayer Graphene
• Superfluid weight and Berezinskii-Kosterlitz-Thouless transition temperature of twisted bilayer graphene
• Twisted Bilayer Graphene Aligned with Hexagonal Boron Nitride: Anomalous Hall Effect and a Lattice Model
• Pressure dependence of the magic twist angle in graphene superlattices
• Ferromagnetic Mott State in Twisted Graphene Bilayers at the Magic Angle
• Band structure and topological property of twisted double bilayer graphenes
• Twisted bilayer graphene III. Interacting Hamiltonian and exact symmetries
• Multi-flat bands and strong correlations in Twisted Bilayer Boron Nitride
• Superconductivity from Valley Fluctuations and Approximate SO(4) Symmetry in a Weak Coupling Theory of Twisted Bilayer Graphene
• Theories for the correlated insulating states and quantum anomalous Hall phenomena in twisted bilayer graphene
• Doped Twisted Bilayer Graphene near Magic Angles: Proximity to Wigner Crystallization not Mott Insulation
• Magic of high order van Hove singularity
• Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: a Hartree-Fock study
• Real Space Invariants: Twisted Bulk-Boundary Correspondence of Fragile Topology
• Continuum models for twisted bilayer graphene: the effects of lattice deformation and hopping parameter
• Twisted bilayer graphene. II. Stable symmetry anomaly
• Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice, with possible applications to twisted bilayer graphene
• Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
• Twisted Bilayer Graphene V: Exact Analytic Many-Body Excitations in Twisted Bilayer Graphene Coulomb Hamiltonians: Charge Gap, Goldstone Modes and Absence of Cooper Pairing
• Triangular antiferromagnetism on the honeycomb lattice of twisted bilayer graphene
• Nematic superconductivity in twisted bilayer graphene
• Multiple topological transitions in twisted bilayer graphene near the first magic angle
• Twisted bilayer graphene.VI. An Exact Diagonalization Study of Twisted Bilayer Graphene at Non-Zero Integer Fillings
• Charge-transfer insulation in twisted bilayer graphene
• Twisted bilayer graphene I. Matrix elements, approximations, perturbation theory and a $k\cdot p$ 2-Band model
• Flat bands and perfect metal in trilayer moiré graphene
• Cold atoms in twisted bilayer optical potentials
• Correlation-induced insulating topological phases at charge neutrality in twisted bilayer graphene
• Flat Bands in Twisted Bilayers of Two-Dimensional Polar Materials
• Unconventional topological superconductivity and phase diagram for an effective two-orbital model as applied to twisted bilayer graphene
• The Landau Level of Fragile Topology
• Emergent ${\text{D}}_6$ symmetry in fully-relaxed magic-angle twisted bilayer graphene
• Is magic-angle twisted bilayer graphene near a quantum critical point?
• Nematicity with a twist: rotational symmetry breaking in a moiré superlattice
• Josephson Diode Effect Induced by Valley Polarization in Twisted Bilayer Graphene
• A chiral twist on the high-$T_c$ phase diagram in Moiré heterostructures
• Competing phases of interacting electrons on triangular lattices in moiré heterostructures
• Charge Smoothening and Band Flattening due to Hartree corrections in Twisted Bilayer Graphene
• Topological flat bands in twisted trilayer graphene
• Pairing symmetry and spontaneous vortex-antivortex lattice in superconducting twisted-bilayer graphene: Bogoliubov-de Gennes approach
• Critical behavior of Dirac fermions from perturbative renormalization
• Simulating twistronics without a twist
• Derivation of Wannier orbitals and minimal-basis tight-binding hamiltonians for twisted bilayer graphene: a first-principles approach
• Realization of Topological Mott Insulator in a Twisted Bilayer Graphene Lattice Model
• Heavy fermion representation for twisted bilayer graphene systems
• Exact Diagonalization for Magic-Angle Twisted Bilayer Graphene
• Pressure Induced Compression of Flatbands in Twisted Bilayer Graphene
• Wannier Pairs in the Superconducting Twisted Bilayer Graphene and Related Systems
• Kondo Lattice Model of Magic-Angle Twisted-Bilayer Graphene: Hund's Rule, Local-Moment Fluctuations, and Low-Energy Effective Theory
• Momentum space quantum Monte Carlo on twisted bilayer Graphene
• Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene
• Valley Jahn-Teller effect in twisted bilayer graphene
• The nature of correlations in the insulating states of twisted bilayer graphene
• Flat-band engineering in tight-binding models: Beyond the nearest-neighbor hopping
• Spin-triplet $f$-wave pairing in twisted bilayer graphene near 1/4 filling
• Magic-angle semimetals
• Universal Optical Control of Chiral Superconductors and Majorana Modes
• $\text{Ab Initio}$ Mismatched Interface Theory of Graphene on $\alpha$-RuCl${}_3$: Doping and Magnetism
• Anomalous Hall effect, magneto-optical properties, and nonlinear optical properties of twisted graphene systems
• Designing Ultra-Flat Bands in Twisted Bilayer Materials at Large Twist Angles without specific degree
• Fractional quantum Hall states for moiré superstructures in the Hofstadter regime
• Attractive electron-electron interactions from internal screening in magic angle twisted bilayer graphene
• Visualizing delocalized correlated electronic states in twisted double bilayer graphene
• Valley magnetism, nematicity, and density wave orders in twisted bilayer graphene
• Coupled Wire description of the Correlated Physics in Twisted Bilayer Graphene
• Pressure-Induced Metal-Insulator Transition in Twisted Bi-layer Graphene
• Interactions in the 8-orbital model for twisted bilayer graphene
• Twist-angle dependence of electron correlations in moiré graphene bilayers
• Spectroscopy of Twisted Bilayer Graphene Correlated Insulators
• Spin-valley density wave in moiré materials
• Phonons in magic-angle twisted bilayer graphene
• Symmetric Kondo Lattice States in Doped Strained Twisted Bilayer Graphene
• Pairing in graphene-based moiré superlattices
• Singlet superconductivity enhanced by charge order in nested twisted bilayer graphene Fermi surfaces
• Floquet-Engineered Topological Flat Bands in Irradiated Twisted Bilayer Graphene
• Dynamical correlations and order in magic-angle twisted bilayer graphene
• SU(4) Heisenberg model on the honeycomb lattice with exchange-frustrated perturbations: implications for twistronics and Mott insulators
• Kohn-Luttinger superconductivity on two orbital honeycomb lattice
• TSTG I: Single-Particle and Many-Body Hamiltonians and Hidden Non-local Symmetries of Trilayer Moiré Systems with and without Displacement Field
• Ferromagnetism and its stability from the one-magnon spectrum in twisted bilayer graphene
• Flat-band ferromagnetism in twisted bilayer graphene
• Parquet renormalization group analysis of weak-coupling instabilities with multiple high-order Van Hove points inside the Brillouin zone
• Hidden Wave Function of Twisted Bilayer Graphene: Flat Band as a Landau Level
• Magic-Angle Twisted Symmetric Trilayer Graphene as Topological Heavy Fermion Problem
• Quantum Geometric Contributions to the BKT Transition: Beyond Mean Field Theory
• Twistronics in graphene-based van der Waals structures
• Kondo Phase in Twisted Bilayer Graphene -- A Unified Theory for Distinct Experiments
• Flux crystals, Majorana metals, and flat bands in exactly solvable spin-orbital liquids
• Twisted bilayer graphene in a parallel magnetic field
• Superconductor versus insulator in twisted bilayer graphene
• Correlated Insulating Phases in the Twisted Bilayer Graphene
• TBG as Topological Heavy Fermion: II. Analytical approximations of the model parameters
• The Orbitally Selective Mott Phase in Electron Doped Twisted TMDs: A Possible Realization of the Kondo Lattice Model
• Symmetry of superconducting correlations in displaced bilayers of graphene
• Marginal Fermi liquid in twisted bilayer graphene
• Moiré Engineering in 2D Heterostructures with Process-Induced Strain
• TSTG II: Projected Hartree-Fock Study of Twisted Symmetric Trilayer Graphene
• Degradation of phonons in disordered moiré superlattices
• Ferromagnetism and Spin-Valley liquid states in Moiré Correlated Insulators
• Critical role of device geometry for the phase diagram of twisted bilayer graphene
• Berry curvature effects on quasiparticle dynamics in superconductors
• Emergence and stability of spin-valley entangled quantum liquids in moiré heterostructures
• Loop currents and anomalous Hall effect from time-reversal symmetry-breaking superconductivity on the honeycomb lattice
• Mott insulating state and $d+id$ superconductivity in an ABC graphene trilayer
• Engineering flat bands in twisted-bilayer graphene away from the magic angle with chiral optical cavities
• Metal-insulator transition and dominant $d+id$ pairing symmetry in twisted bilayer graphene
• Excitonic Laughlin States in Ideal Topological Insulator Flat Bands and Possible Presence in Moiré Superlattice Materials
• Flat Band and Hole-induced Ferromagnetism in a Novel Carbon Monolayer
• Magic angles in twisted bilayer graphene near commensuration: Towards a hypermagic regime
• SU(4) symmetry in twisted bilayer graphene - an itinerant perspective
• Emergent correlated phases in rhombohedral trilayer graphene induced by proximity spin-orbit and exchange coupling
• Harmonic Fingerprint of Unconventional Superconductivity in Twisted Bilayer Graphene
• Pair density wave and loop current promoted by van Hove singularities in moiré systems
• Correlated states in magic angle twisted bilayer graphene under the optical conductivity scrutiny
• Constrained Random Phase Approximation of the effective Coulomb interaction in lattice models of twisted bilayer graphene
• ${\phi }_0$-Josephson junction in twisted bilayer graphene induced by a valley-polarized state
• Electron transitions for Dirac Hamiltonians with flat-bands under electromagnetic radiation and its application to the $\alpha -{\mathcal{T}}_3$ graphene model
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• $\text{Ab initio}$ four-band Wannier tight-binding model for generic twisted graphene systems
• Flat bands, electron interactions and magnetic order in magic-angle mono-trilayer graphene
• High-Angular-Momentum Topological Superconductivity in the Largest-Angle Twisted Homo-bilayer Systems
• Time-reversal versus chiral symmetry breaking in twisted bilayer graphene
• Trions in Twisted Bilayer Graphene
• Cascade of transitions in twisted and non-twisted graphene layers within the van Hove scenario
• Topological superconductivity in Dirac honeycomb systems
• Metal-Insulator Transition with Charge Fractionalization
• Enhanced correlations and superconductivity in weakly interacting partially flat band systems: a determinantal quantum Monte Carlo study
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics
• Optical rotation in thin chiral/twisted materials and the gyrotropic magnetic effect
• Magnetic phases from competing Hubbard and extended Coulomb interactions in twisted bilayer graphene
• Inter-valley spiral order in the Mott insulating state of a heterostructure of trilayer graphene-boron nitride
• Theory of plasmonic edge states in chiral bilayer systems
• Josephson effect in graphene bilayers with adjustable relative displacement
• Optoelectronic Fingerprints of Interference between Different Charge Carriers in Graphene Superlattices and Analogies to Twisted Graphene Bilayers
• Moiré flat Chern bands and correlated quantum anomalous Hall states generated by spin-orbit couplings in twisted homobilayer MoS${}_2$
• Twisting the Dirac cones of the SU(4) spin-orbital liquid on the honeycomb lattice
• High-$T_{\text{C}}$ Superconductivity Originating from Interlayer Coulomb Coupling in Gate-Charged Twisted Bilayer Graphene Moir$\acute{e}$ Superlattices
• Towards holographic flat bands
• Magnetic-impurity resonance states for different pairing symmetries in twisted bilayer graphene
• Extended linear-in-$T$ resistivity due to electron-phason scattering in moiré superlattices
• Chiral $p$-wave superconductivity in twisted bilayer graphene from dynamical mean field theory
• Spin-Orbital Density Wave and a Mott Insulator in a Two-Orbital Hubbard Model on a Honeycomb Lattice
• Superconductivity in twisted multilayer graphene: a smoking gun in recent condensed matter physics
• Ising superconductivity induced from spin-selective valley symmetry breaking in twisted trilayer graphene
• Antiferromagnetism and chiral d-wave superconductivity from an effective $t-J-D$ model for twisted bilayer graphene
• Symmetric Wannier states and tight-binding model for quantum spin Hall bands in AB-stacked MoTe${}_2$/WSe${}_2$
• Chern-insulator phases and spontaneous spin and valley order in a moiré lattice model for magic-angle twisted bilayer graphene
• On the nature of the correlated insulator states in twisted bilayer graphene
• Bond-ordered states and $f$-wave pairing of spinless fermions on the honeycomb lattice
• Valley splitter and transverse valley focusing in twisted bilayer graphene
• Chiral SO(4) spin-valley density wave and degenerate topological superconductivity in magic-angle-twisted bilayer-graphene
• Revisiting Bloch electrons in magnetic field: Hofstadter physics via hybrid Wannier states
• Moments and multiplets in moiré materials: A pseudo-fermion functional renormalization group for spin-valley models
• Orbital-Active Dirac Materials from the Symmetry Principle
• Atomistic theory of moiré Hofstadter's butterfly in magic-angle graphene
• Charge and spin correlations in insulating and incoherent metal states of twisted bilayer graphene
• Anomalous Hall effect in single-band chiral superconductors from impurity superlattices
• Generalized dynamical mean-field theory of two-subalttice systems with non-local interactions and its application to study charge and spin correlations in graphene
• Emergent flat band lattices in spatially periodic magnetic fields
• Kanamori-Moiré-Hubbard model for transition metal dichalcogenide homobilayers
• Spontaneous symmetry breaking in a honeycomb lattice subject to a periodic potential
• Moiré fractals in twisted graphene layers
• Electron pairing by Coulomb repulsion in narrow band structures
• Probing three-state Potts nematic fluctuations by ultrasound attenuation
• Origin of magic angles in twisted bilayer graphene: The magic ring
• Probing the wavefunctions of correlated states in magic angle graphene
• Magnetoplasmons in magic-angle twisted bilayer graphene
• Spin-valley magnetism on the triangular moiré lattice with SU(4) breaking interactions
• Renormalized Magic Angles in Asymmetric Twisted Graphene Multilayers
• Floquet Hofstadter butterfly in trilayer graphene with a twisted top layer
• Band structure and optical response of Kekulé-modulated $\alpha -{\mathcal{T}}_3$ model
• Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene
• Excitonic effects in twisted bilayer graphene
• Review of the tight-binding method applicable to the properties of moiré superlattices
• Mean-field Modelling of Moiré Materials: A User's Guide with Selected Applications to Twisted Bilayer Graphene
• Nematicity Arising from a Chiral Superconducting Ground State in Magic-Angle Twisted Bilayer Graphene under In-Plane Magnetic Fields
• Incommensurability-induced sub-ballistic narrow-band-states in twisted bilayer graphene
• Topological phase transition from periodic edge states in moiré superlattices
• Generalized Peierls substitution for Wannier obstructions: response to disorder and interactions
• Quantum Magnetism in Wannier-Obstructed Mott Insulators
• Gutzwiller approximation approach to the SU(4) $t$-$J$ model
• Ground State Phase Diagram of $\text{SU}(3)$ $t$-$J$ Chain
• Quantum Monte Carlo study of magnetism and chiral d+id-wave superconductivity in twisted bilayer graphene
• Current-induced re-entrant superconductivity and extreme nonreciprocal superconducting diode effect in valley-polarized systems
• Particle-hole asymmetric phases in doped twisted bilayer graphene
• Onset of charge incompressibility and Mott gaps in the Honeycomb-Lattice SU(4) Hubbard Model: Lessons for Twisted Bilayer Graphene systems
• Realization of Nearly Dispersionless Bands with Strong Orbital Anisotropy from Destructive Interference in Twisted Bilayer MoS2
• Theory of Hofstadter Superconductors
• Atomic frustration-based twistronics