Electrostatic effects, band distortions and superconductivity in twisted graphene bilayers

Abstract

Bilayer graphene twisted by a small angle shows a significant charge modulation away from neutrality, as the charge in the narrow bands near the Dirac point is mostly localized in the regions of the Moiré pattern with $AA$ stacking. The resulting electrostatic potential gives rise to the dominant contribution to the electron-electron interaction within this low energy band, which becomes significantly distorted. The changes in the band structure are described by new local interactions, and lead to an assisted electron-hopping process. These couplings favor superconductivity at certain fillings.

8 pages and lots of figures

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Cited by in corpus (222)

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• Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
• 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
• Superconductivity without insulating states in twisted bilayer graphene stabilized by monolayer WSe${}_2$
• Strong coupling phases of partially filled twisted bilayer graphene narrow bands
• Topology-Bounded Superfluid Weight In Twisted Bilayer Graphene
• MATBG as Topological Heavy Fermion: I. Exact Mapping and Correlated Insulators
• Magic Angle Hierarchy in Twisted Graphene Multilayers
• Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
• Designing Flat Band by Strain
• Twisted Bilayer Graphene IV. Exact Insulator Ground States and Phase Diagram
• Hofstadter subband ferromagnetism and symmetry broken Chern insulators in twisted bilayer graphene
• Phonon-induced giant linear-in-$T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
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• Ferromagnetic Mott State in Twisted Graphene Bilayers at the Magic Angle
• Flatbands in twisted double bilayer graphene
• Twisted bilayer graphene III. Interacting Hamiltonian and exact symmetries
• Magic of high order van Hove singularity
• Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: a Hartree-Fock study
• Moiré quantum chemistry: charge transfer in transition metal dichalcogenide superlattices
• Continuum models for twisted bilayer graphene: the effects of lattice deformation and hopping parameter
• Twisted bilayer graphene. II. Stable symmetry anomaly
• Fractional quantum anomalous Hall states in twisted bilayer MoTe${}_2$ and WSe${}_2$
• High-temperature topological superconductivity in twisted double layer copper oxides
• Twisted Bilayer Graphene V: Exact Analytic Many-Body Excitations in Twisted Bilayer Graphene Coulomb Hamiltonians: Charge Gap, Goldstone Modes and Absence of Cooper Pairing
• Strong electron-phonon coupling, electron-hole asymmetry, and nonadiabaticity in magic-angle twisted bilayer graphene
• Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene
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• Non-Abelian Dirac node braiding and near-degeneracy of correlated phases at odd integer filling in magic angle twisted bilayer graphene
• Towards the hidden symmetry in Coulomb interacting twisted bilayer graphene: renormalization group approach
• Twisted bilayer graphene.VI. An Exact Diagonalization Study of Twisted Bilayer Graphene at Non-Zero Integer Fillings
• A Microscopic Perspective on Moiré Materials
• Electronic band structure and pinning of Fermi energy to van Hove singularities in twisted bilayer graphene: a self consistent approach
• 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
• Collective excitations in twisted bilayer graphene close to the magic angle
• Coulomb interaction, phonons, and superconductivity in twisted bilayer graphene
• Electrically Tunable Flat Bands and Magnetism in Twisted Bilayer Graphene
• Chiral Approximation to Twisted Bilayer Graphene: Exact Intra-Valley Inversion Symmetry, Nodal Structure and Implications for Higher Magic Angles
• Correlation-induced insulating topological phases at charge neutrality in twisted bilayer graphene
• The Landau Level of Fragile Topology
• Theoretical possibilities for flat-band superconductivity
• Internal screening and dielectric engineering in magic-angle twisted bilayer graphene
• Global Phase Diagram of the Normal State of Twisted Bilayer Graphene
• Spin-Orbit-Induced Topological Flat Bands in Line and Split Graphs of Bipartite Lattices
• Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene
• Emulating heavy fermions in twisted trilayer graphene
• Imaging inter-valley coherent order in magic-angle twisted trilayer graphene
• Charge Smoothening and Band Flattening due to Hartree corrections in Twisted Bilayer Graphene
• Cascades between light and heavy fermions in the normal state of magic angle twisted bilayer graphene
• Simulating twistronics without a twist
• Topological carbon materials: a new perspective
• Charge Transfer Excitations, Pair Density Waves, and Superconductivity in Moiré Materials
• Realization of Topological Mott Insulator in a Twisted Bilayer Graphene Lattice Model
• Band structure of twisted bilayer graphene on hexagonal boron nitride
• Twists and The Electronic Structure of Graphitic Materials
• Moiré-pattern fluctuations and electron-phason coupling in twisted bilayer graphene
• Exact Diagonalization for Magic-Angle Twisted Bilayer Graphene
• Kondo Lattice Model of Magic-Angle Twisted-Bilayer Graphene: Hund's Rule, Local-Moment Fluctuations, and Low-Energy Effective Theory
• Strong Inter-valley Electron-Phonon Coupling in Magic-Angle Twisted Bilayer Graphene
• In-plane critical magnetic fields in magic-angle twisted trilayer graphene
• Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene
• Unconventional Superconductivity in Magic-Angle Twisted Trilayer Graphene
• Gap Opening in Twisted Double Bilayer Graphene by Crystal fields
• Pairing in magic-angle twisted bilayer graphene: role of phonon and plasmon umklapp
• Topological and nematic superconductivity mediated by ferro-SU(4) fluctuations in twisted bilayer graphene
• Optical and plasmonic properties of twisted bilayer graphene: Impact of interlayer tunneling asymmetry and ground-state charge inhomogeneity
• Weak-field Hall Resistivity and Spin/Valley Flavor Symmetry Breaking in Magic-Angle Twisted Bilayer Graphene
• Mirror Symmetry Breaking and Lateral Stacking Shifts in Twisted Trilayer Graphene
• Attractive electron-electron interactions from internal screening in magic angle twisted bilayer graphene
• Band Structure and Superconductivity in Twisted Trilayer Graphene
• A moiré superlattice on the surface of a topological insulator
• Heavy quasiparticles and cascades without symmetry breaking in twisted bilayer graphene
• Pseudo-magnetic fields, particle-hole asymmetry, and microscopic effective continuum Hamitonians of twisted bilayer graphene
• Dichotomy of Electron-Phonon Coupling in Graphene Moiré Flat Bands
• Interactions in the 8-orbital model for twisted bilayer graphene
• T-carbon: experiments, properties, derivatives and potential applications
• Twist-angle dependence of electron correlations in moiré graphene bilayers
• Ferromagnetism and superconductivity in twisted double bilayer graphene
• Spin-valley density wave in moiré materials
• Symmetric Kondo Lattice States in Doped Strained Twisted Bilayer Graphene
• Continuum effective Hamiltonian for graphene bilayers for an arbitrary smooth lattice deformation from microscopic theories
• Identification of superconducting pairing symmetry in twisted bilayer graphene using in-plane magnetic field and strain
• Dynamical correlations and order in magic-angle twisted bilayer graphene
• Effective Floquet Hamiltonians for periodically-driven twisted bilayer graphene
• Electrical band flattening, valley flux, and superconductivity in twisted trilayer graphene
• Floquet engineering of interlayer couplings: Tuning the magic angle of twisted bilayer graphene at the exit of a waveguide
• Isospin and momentum polarized orders in bilayer graphene
• TSTG I: Single-Particle and Many-Body Hamiltonians and Hidden Non-local Symmetries of Trilayer Moiré Systems with and without Displacement Field
• Skyrmions in twisted bilayer graphene: stability, pairing, and crystallization
• Flat-band ferromagnetism in twisted bilayer graphene
• New mechanism and exact theory of superconductivity from strong repulsive interaction
• Hole superconductivity in infinite-layer nickelates
• Effect of bilayer stacking on the atomic and electronic structure of twisted double bilayer graphene
• Hidden Wave Function of Twisted Bilayer Graphene: Flat Band as a Landau Level
• Floquet-engineering topological transitions in a twisted transition metal dichalcogenide homobilayer
• Designing Moiré Patterns by Strain
• Magic-Angle Twisted Symmetric Trilayer Graphene as Topological Heavy Fermion Problem
• Twistronics in graphene-based van der Waals structures
• Unconventional superconductivity due to interband polarization
• Topological chiral superconductivity beyond pairing in a Fermi liquid
• Recent Developments in Fractional Chern Insulators
• Importance of long-ranged electron-electron interactions for the magnetic phase diagram of twisted bilayer graphene
• TBG as Topological Heavy Fermion: II. Analytical approximations of the model parameters
• Correlated Insulating Phases in the Twisted Bilayer Graphene
• Does filling-dependent band renormalization aid pairing in twisted bilayer graphene?
• Lattice model for the Coulomb interacting chiral limit of the magic angle twisted bilayer graphene: symmetries, obstructions and excitations
• Marginal Fermi liquid in twisted bilayer graphene
• Superconductivity and bosonic fluid emerging from Moiré flat bands
• TSTG II: Projected Hartree-Fock Study of Twisted Symmetric Trilayer Graphene
• Unusual magnetotransport in twisted bilayer graphene from strain-induced open Fermi surfaces
• Degradation of phonons in disordered moiré superlattices
• Moiré disorder effect in twisted bilayer graphene
• Carrier transport theory for twisted bilayer graphene in the metallic regime
• Inherited and flatband-induced ordering in twisted graphene bilayers
• Critical role of device geometry for the phase diagram of twisted bilayer graphene
• Superconductivity induced by the inter-valley Coulomb scattering in a few layers of graphene
• Thermodynamic characteristic for correlated flat-band system with quantum anomalous Hall ground state
• Current-induced reversal of anomalous Hall conductance in twisted bilayer graphene
• Electron-phonon and electron-electron interaction effects in twisted bilayer graphene
• Defect-induced magnetism and Yu-Shiba-Rusinov states in twisted bilayer graphene
• Confinement-engineered superconductor to correlated-insulator transition in a van der Waals monolayer
• Magic angles in twisted bilayer graphene near commensuration: Towards a hypermagic regime
• Constrained Random Phase Approximation of the effective Coulomb interaction in lattice models of twisted bilayer graphene
• Terahertz photocurrent probe of quantum geometry and interactions in magic-angle twisted bilayer graphene
• Dirac fermions with plaquette interactions. II. SU(4) phase diagram with Gross-Neveu criticality and quantum spin liquid
• Interaction-Enhanced Topological Hall Effects in Strained Twisted Bilayer Graphene
• From electrons to baby skyrmions in Chern ferromagnets: A topological mechanism for spin-polaron formation in twisted bilayer graphene
• Spontaneous Valley Spirals in Magnetically Encapsulated Twisted Bilayer Graphene
• Moire Band Structures of the Double twisted Few Layer Graphene
• Narrow bands, electrostatic interactions and band topology in graphene stacks
• Thermodynamic properties of graphene bilayers
• Pseudospin Paramagnons and the Superconducting Dome in Magic Angle Twisted Bilayer Graphene
• High transmission in twisted bilayer graphene with angle disorder
• $\text{Ab initio}$ four-band Wannier tight-binding model for generic twisted graphene systems
• Flat bands, electron interactions and magnetic order in magic-angle mono-trilayer graphene
• Kekulé spiral order at all nonzero integer fillings in twisted bilayer graphene
• Time-reversal versus chiral symmetry breaking in twisted bilayer graphene
• Cascade of transitions in twisted and non-twisted graphene layers within the van Hove scenario
• Trions in Twisted Bilayer Graphene
• Tunable electron-phonon interactions in long-period superlattices
• Spin-triplet superconductivity from inter-valley Goldstone modes in magic-angle graphene
• Possible nodeless $s^{\pm }$-wave superconductivity in twisted bilayer graphene
• Magic-angle Twisted Bilayer Systems with Quadratic-Band-Touching: Exactly Flat Bands with High-Chern Number
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics
• Flat-band optical phonons in twisted bilayer graphene
• Superconductivity and magnetism in the surface states of ABC-stacked multilayer graphene
• Junctions and superconducting symmetry in twisted bilayer graphene
• Quantum Hall Superconductivity from Moir{é} Landau Levels
• Magnetic phases from competing Hubbard and extended Coulomb interactions in twisted bilayer graphene
• Topological-defect-induced surface charge heterogeneities in nematic electrolytes
• Theory of plasmonic edge states in chiral bilayer systems
• Topological Mixed Valence Model for Twisted Bilayer Graphene
• Unconventional sequence of correlated Chern insulators in magic-angle twisted bilayer graphene
• Moiré Flat Bands of Twisted Few-layer Graphite
• Transport and spectral properties of magic angle twisted bilayer graphene junctions based on local orbital models
• Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$
• Towards holographic flat bands
• Topological flat bands, valley polarization, and interband superconductivity in magic-angle twisted bilayer graphene with proximitized spin-orbit couplings
• High-$T_{\text{C}}$ Superconductivity Originating from Interlayer Coulomb Coupling in Gate-Charged Twisted Bilayer Graphene Moir$\acute{e}$ Superlattices
• Weak Coupling Theory of Magic-Angle Twisted Bilayer Graphene
• Theory of intrinsic acoustic plasmons in twisted bilayer graphene
• Nonlocal Moments in the Chern Bands of Twisted Bilayer Graphene
• Spin-Orbital Density Wave and a Mott Insulator in a Two-Orbital Hubbard Model on a Honeycomb Lattice
• Extended linear-in-$T$ resistivity due to electron-phason scattering in moiré superlattices
• Ising superconductivity induced from spin-selective valley symmetry breaking in twisted trilayer graphene
• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Doping fingerprints of spin and lattice fluctuations in moiré superlattice systems
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• Theory of ARPES in Graphene-Based Moiré Superlattices
• On the nature of the correlated insulator states in twisted bilayer graphene
• Twist-tuned quantum criticality in moiré bilayer graphene
• Chiral SO(4) spin-valley density wave and degenerate topological superconductivity in magic-angle-twisted bilayer-graphene
• A Hybrid Quantum-Classical Method for Electron-Phonon Systems
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• Atomistic theory of moiré Hofstadter's butterfly in magic-angle graphene
• Textured Exciton Insulators
• Twisted bilayer graphene reveals its flat bands under spin pumping
• Many-body perturbation theory for moiré systems
• Moiré Modulation of Charge Density Waves
• The Interacting Energy Bands of Magic Angle Twisted Bilayer Graphene Revealed by the Quantum Twisting Microscope
• Short vs. long range exchange interactions in twisted bilayer graphene
• Tracing out Correlated Chern Insulators in Magic Angle Twisted Bilayer Graphene
• Chiral Stoner magnetism in Dirac bands
• Vacancy-induced tunable Kondo effect in twisted bilayer graphene
• Moiré fractals in twisted graphene layers
• Strongly Interacting Phases in Twisted Bilayer Graphene at the Magic Angle
• Magnetoplasmons in magic-angle twisted bilayer graphene
• Floquet Fractional Chern Insulators and Competing Phases in Twisted Bilayer Graphene
• Excitonic Metal and Non-Fermi Liquid Behaviour in Twisted Double Bilayer Graphene near Charge Neutrality
• Cascades in transport and optical conductivity of Twisted Bilayer Graphene
• Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals
• Orbital Magnetization of Correlated States in Twisted Bilayer Transition Metal Dichalcogenides
• Mirror-protected Majorana zero modes in $f$-wave multilayer graphene superconductors
• Negative electronic compressibility in charge islands in twisted bilayer graphene
• Signatures of electronic ordering in transport in graphene flat bands
• Topological phase diagram of twisted bilayer graphene as a function of the twist angle
• Photon absorption in twisted bilayer graphene
• Interference effects in polarization controlled Rayleigh scattering in twisted bilayer graphene
• Gate-defined single-electron transistors in twisted bilayer graphene
• Moiré surface states and enhanced superconductivity in topological insulators
• 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
• Flat-band projected versus fully atomistic twisted bilayer graphene
• Anomalous enhancement of large-momentum scattering by electron-electron interaction in moiré superlattices
• Influence of dislocations in multilayer graphene stacks: A phase field crystal study
• Electric backaction on moiré mechanics
• Moiré patterns and inversion boundaries in graphene/hexagonal boron nitride bilayers
• Sliding-dependent electronic structures of alternating-twist tetralayer graphene
• Straintronics and twistronics in bilayer graphene
• Interaction-driven charge textures and unconventional superconductivity in strained monolayer graphene
• Magnetic Ordering in Moiré Graphene Multilayers from a Continuum Hartree+U Approach
• Microscopic theory for electron-phonon coupling in twisted bilayer graphene
• Designing Flat Bands and Pseudo-Landau Levels in GaAs with Patterned Gates
• Electrostatic interactions in twisted bilayer graphene
• Particle-hole asymmetric phases in doped twisted bilayer graphene
• Prediction of the Hubbard U parameter from scanning tunneling microscopy images of moire systems using image recognition