Graphene Bilayers with a Twist

Abstract

Near a magic twist angle, bilayer graphene transforms from a weakly correlated Fermi liquid to a strongly correlated two-dimensional electron system with properties that are extraordinarily sensitive to carrier density and to controllable environmental factors such as the proximity of nearby gates and twist-angle variation. Among other phenomena magic-angle twisted bilayer graphene hosts superconductivity, interaction induced insulating states, magnetism, electronic nematicity, linear-in-T low-temperature resistivity, and quantized anomalous Hall states. We highlight some key research results in this field, point to important questions that remain open, and comment on the place of magic angle twisted bilayer graphene in the strongly correlated quantum matter world.

28 pages, 7 figures, review article

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Cited by in corpus (405)

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• Imaging moiré deformation and dynamics in twisted bilayer graphene
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• Competing correlated states and abundant orbital magnetism in twisted monolayer-bilayer graphene
• Origin of Model Fractional Chern Insulators in All Topological Ideal Flatbands: Explicit Color-entangled Wavefunction and Exact Density Algebra
• Out-of-equilibrium criticalities in graphene superlattices
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• Spin-Orbit Coupling in Transition Metal Dichalcogenide Heterobilayer Flat Bands
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• Directly imaging spin polarons in a kinetically frustrated Hubbard system
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• Correlated metals and unconventional superconductivity in rhombohedral trilayer graphene: A renormalization group analysis
• Non-linear Hall Effects: Mechanisms and Materials
• Progress and Prospects in Two-Dimensional Magnetism of van der Waals Materials
• Observation of Rydberg moiré excitons
• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Twist-angle tunable spin texture in WSe${}_2$/graphene van der Waals heterostructures
• Dominance of extrinsic scattering mechanisms in the orbital Hall effect: graphene, transition metal dichalcogenides and topological antiferromagnets
• Orbital angular momentum of Bloch electrons: equilibrium formulation, magneto-electric phenomena, and the orbital Hall effect
• Gate-Controlled Quantum Dots Based on Two-Dimensional Materials
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• Giant proximity exchange and flat Chern band in 2D magnet-semiconductor heterostructures
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• Boundary Modes from Periodic Magnetic and Pseudomagnetic Fields in Graphene
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• Anisotropic effects in two-dimensional materials
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• Twisting of 2D kagomé sheets in layered intermetallics
• Theoretical methods for excitonic physics in two-dimensional materials
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• Band Renormalization, Quarter Metals, and Chiral Superconductivity in Rhombohedral Tetralayer Graphene
• Unconventional fully-gapped superconductivity in the heavy-fermion metal CeCu${}_2$Si${}_2$
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• Enhanced Amplitude for Superconductivity due to Spectrum-wide Wave Function Criticality in Quasiperiodic and Power-law Random Hopping Models
• Non-linear optics at twist interfaces in h-BN/SiC heterostructures
• Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$
• Cavity Moiré Materials: Controlling Magnetic Frustration with Quantum Light-Matter Interaction
• Magnetic moiré surface states and flat chern band in topological insulators
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• Efficient Chebyshev polynomial approach to quantum conductance calculations: Application to twisted bilayer graphene
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• Topological flat bands in a family of multilayer graphene moiré lattices
• Kagome metals
• Topological Mixed Valence Model for Twisted Bilayer Graphene
• Sumanene monolayer of pure carbon: a two-dimensional Kagome-analogy lattice with desirable band gap, ultrahigh carrier mobility and strong exciton binding energy
• Adsorption of water on the pristine and defective semiconducting 2D CrPX${}_3$ monolayers (X: S, Se)
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• Revealing the Charge Density Wave Proximity Effect in Graphene on 1T-TaS${}_2$
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• Possible Realization of Kitaev Spin Liquids in van der Waals Heterostructures of $\alpha$-RuCl${}_3$ and Cr$X_3$ ($X$=Cl and I)
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• Moiré surface states and enhanced superconductivity in topological insulators
• Topological phase diagram of twisted bilayer graphene as a function of the twist angle
• Thermal Tensor Network Simulations of Lattice Fermions with Fixed Filling
• Twistraintronics in Square Moire Superlattices of Stacked Graphene Layers
• 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
• Engineering Floquet moiré patterns for scalable photocurrents
• Photon absorption in twisted bilayer graphene
• Orbital Hall Conductivity in a Graphene/Haldane and Haldane/Haldane Bilayers
• Fate of Quadratic Band Crossing under quasiperiodic modulation
• Artificial electrostatic crystals: a new platform for creating correlated quantum states
• Correlation-driven non-trivial phases in single bi-layer Kagome intermetallics
• Van-Hove tuning of Fermi surface instabilities through compensated metallicity
• Modification of the magnetic and electronic properties of the graphene-Ni(111) interface via halogens intercalation
• Terahertz Landau level spectroscopy of Dirac fermions in millimeter-scale twisted bilayer graphene
• The Physics of Quantum 2.0: Challenges in understanding Quantum Matter
• Low-frequency and Moiré Floquet engineering: a review
• Robust Orbital-Selective Flat Bands in Transition-Metal Oxychlorides
• Influence of dislocations in multilayer graphene stacks: A phase field crystal study
• Multiband Quantum Materials
• Quantum Hall to Chiral Spin Liquid transition in a Triangular Lattice Hofstadter-Hubbard Model
• Gate-defined Kondo lattices with valley-helical quantum dot arrays
• Quantum Algorithm for Green's Functions Measurements in the Fermi-Hubbard Model
• Optical Absorption and Emission from Wannier-Stark Spectra of Moiré Superlattices
• Magic-angle twisted bilayer graphene under orthogonal and in-plane magnetic fields
• Perturbative renormalization group approach to magic-angle twisted bilayer graphene using topological heavy fermion model
• Variational Monte Carlo Optimization of Topological Chiral Superconductors
• Geometry-Driven Moiré Engineering in Twisted Bilayers of High-Pseudospin Fermions
• Preserving Twist-Angle in Marginally Twisted Double-Bilayer Graphene Devices During Fabrication
• Time-resolved ARPES and optical transport properties of irradiated twisted bilayer graphene in steady-state
• Topological domain-wall states from Umklapp scattering in twisted bilayer graphene
• Fabrication and Characterization of the Moiré surface state on a topological insulator
• Hexagonal boron nitride/bilayer graphene moiré superlattices in the Dirac-material family: energy-band engineering and carrier doping by dual gating
• Moiré spintronics: Emergent phenomena, material realization and machine learning accelerating discovery
• Magnetic Ordering in Moiré Graphene Multilayers from a Continuum Hartree+U Approach
• Electronic Reconstruction at the Quasicrystal-Moiré Crossover in Twisted Bilayer Graphene
• Manipulating Charge Distribution in Moiré Superlattices by Light
• Quasi-two-dimensional spin helix and magnon-induced singularity in twisted bilayer graphene
• Charge ordering and spontaneous topological Hall effect in bilayer skyrmion crystals
• Magnetism of magic-angle twisted bilayer graphene
• Local optical conductivity of strain solitons in bilayer graphene with arbitrary soliton angle
• Orbital Dynamics in Centrosymmetric Systems
• Incoherent tunneling and topological superconductivity in twisted cuprate bilayers
• Terahertz-induced tunnel ionization drives coherent Raman-active phonon in Bismuth
• Magnetic and nematic order of Bose-Fermi mixtures in moiré superlattices of 2D semiconductors
• Enhanced Phonon-Assisted Tunneling in Metal -- Twisted Bilayer Graphene Junctions
• Chern junctions in Moiré-Patterned Graphene/PbI2
• Singular flat bands in three dimensions: Landau level spreading, quantum geometry, and Weyl reconstruction
• Non-Fermi liquid behaviour of CDW instabilities in fractionally-filled moiré flatbands
• Correlated Insulator Moiré Bolometer
• Link between thermodynamic correlation signatures and superconductivity in twisted trilayer graphene
• Exactly solvable spin liquids in Kitaev bilayers and moiré superlattices
• Pressure-Tunable Generalized Wigner Crystal and Fractional Chern Insulator in twisted MoTe${}_2$
• Electronic properties of twisted multilayer graphene
• Incommensurate Twisted Bilayer Graphene: emerging quasi-periodicity and stability
• Topological Order Without Band Topology in Moiré Graphene
• Universal non-power-law scaling from a chaotic renormalisation group in the Harper-Hofstadter model
• Selective Kondo screening and strange metallicity by sliding Dirac semimetals
• Buckling and flat bands in twisted bilayer graphene
• The fate of disorder in twisted bilayer graphene near the magic angle
• Beyond Random Phase Approximation in electron-hole bilayer superfluidity
• Dynamical control of Coulomb interactions and Hubbard bands in monolayer 1T-TaS${}_2$
• Electrostatic interactions in twisted bilayer graphene
• Epitaxial two-dimensional membranes under intrinsic and extrinsic strains
• Weak localization and universal conductance fluctuations in large area twisted bilayer graphene
• Fate of Berezinskii-Kosterlitz-Thouless Paired Phase in Coupled $XY$ Models
• Emergent Bell Phase in an Electro-Nanomechanical Quantum Simulator
• Renormalization group approach to the elastic properties of graphene bilayers
• Moiré-driven equilibrium of perturbations in moiré systems
• Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
• Electronic Structure of Multilayer Graphene with Arbitrary Stackings
• Using near-flat-band electrons for read-out of molecular spin qubit entangled states
• Straintronics and twistronics in bilayer graphene