Local Kekulé distortion turns twisted bilayer graphene into topological Mott insulators and superconductors
arXiv:2204.05190 · doi:10.1103/PhysRevB.106.235112
Abstract
Magic-angle twisted bilayer graphene displays at different fillings of the four flat bands lying around the charge neutrality point a wealth of notable phases that include magnetic Chern insulators, whose magnetization is mostly of orbital nature, and contiguous superconducting domes. Such rich phase diagram is here explained through the positive interplay of Coulomb repulsion and the electron coupling to a twofold optical mode that corresponds to Kekulè distortions localized into the small AA stacked regions of the moiré supercells. A static distortion stabilizes, at any integer filling of the flat bands, valence-bond insulators that carry finite Chern number away from charge neutrality. Similarly, a dynamic distortion that resonates between the two lattice vibrations leads to resonating-valence-bond topological insulators with built-in chiral d-wave pairs that have finite Chern number equal to the angular momentum, and thus are prone to turn superconducting upon doping away from integer filling.
arXiv comment7 pages plus references, 5 figures. Supplementary Material can be requested at [email protected]
References in corpus (63)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Moire bands in twisted double-layer graphene
- Tuning superconductivity in twisted bilayer graphene
- Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
- Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
- Intrinsic quantized anomalous Hall effect in a moiré heterostructure
- Magic Angle Spectroscopy
- Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
- Spectroscopic signatures of many-body correlations in magic angle twisted bilayer graphene
- Lattice relaxation and energy band modulation in twisted bilayer graphenes
- Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
- Strength of effective Coulomb interactions in graphene and graphite
- All "Magic Angles" Are "Stable" Topological
- Theory of phonon-mediated superconductivity in twisted bilayer graphene
- Strongly Correlated Chern Insulators in Magic-Angle Twisted Bilayer Graphene
- Decoupling superconductivity and correlated insulators in twisted bilayer graphene
- Mapping the twist angle and unconventional Landau levels in magic angle graphene
- Phonon scattering dominated electron transport in twisted bilayer graphene
- Twisted Bilayer Graphene: A Phonon Driven Superconductor
- Fragile Topology and Wannier Obstructions
- Evidence for unconventional superconductivity in twisted bilayer graphene
- Chern Insulators and Topological Flat-bands in Magic-angle Twisted Bilayer Graphene
- Strong coupling phases of partially filled twisted bilayer graphene narrow bands
- Ground State and Hidden Symmetry of Magic Angle Graphene at Even Integer Filling
- An exact continuum model for low-energy electronic states of twisted bilayer graphene
- Chiral SDW and d + id superconductivity in the magic-angle twisted bilayer-graphene
- Phases of a phenomenological model of twisted bilayer graphene
- Tuning electron correlation in magic-angle twisted bilayer graphene using Coulomb screening
- 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- resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
- Ferromagnetic Mott State in Twisted Graphene Bilayers at the Magic Angle
- Imaging orbital ferromagnetism in a moiré Chern insulator
- Symmetry broken Chern insulators and magic series of Rashba-like Landau level crossings in magic angle bilayer graphene
- Modeling the Unconventional Superconducting Properties of Expanded AC Fullerides
- Twisted bilayer graphene III. Interacting Hamiltonian and exact symmetries
- Charged Skyrmions and Topological Origin of Superconductivity in Magic Angle Graphene
- Superconductivity from Valley Fluctuations and Approximate SO(4) Symmetry in a Weak Coupling Theory of Twisted Bilayer Graphene
- The crucial role of atomic corrugation on the flat bands and energy gaps of twisted bilayer graphene at the "magic angle"
- Theories for the correlated insulating states and quantum anomalous Hall phenomena in twisted bilayer graphene
- Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: a Hartree-Fock study
- 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
- Competing zero-field Chern insulators in Superconducting 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
- Imaging Chern mosaic and Berry-curvature magnetism in magic-angle graphene
- Non magnetic molecular Jahn-Teller Mott insulators
- Coulomb interaction, phonons, and superconductivity in twisted bilayer graphene
- Correlation-induced insulating topological phases at charge neutrality in twisted bilayer graphene
- Emergent symmetry in fully-relaxed magic-angle twisted bilayer graphene
- Strongly Correlated Superconductivity and Pseudogap Phase near a multi-band Mott Insulator
- Structural relaxation and low energy properties of Twisted Bilayer Graphene
- Anomalous Hall effect at half filling in twisted bilayer graphene
- Valley Jahn-Teller effect in twisted bilayer graphene
- Pairing in magic-angle twisted bilayer graphene: role of phonon and plasmon umklapp
- An accurate description of the structural and electronic properties of twisted bilayer graphene-boron nitride heterostructures
- Spectroscopy of Twisted Bilayer Graphene Correlated Insulators
- Correlation-Driven Dimerization and Topological Gap Opening in Isotropically Strained Graphene
- Gauge phonon dominated resistivity in twisted bilayer graphene near magic angle
- Establishing non-Abelian topological order in Gutzwiller projected Chern insulators via Entanglement Entropy and Modular S-matrix
- Electron-phonon and electron-electron interaction effects in twisted bilayer graphene
Cited by in corpus (21)
- Quantum textures of the many-body wavefunctions in magic-angle graphene
- Dynamical correlations and order in magic-angle twisted bilayer graphene
- Twistronics of Janus transition metal dichalcogenide bilayers
- Truncated atomic plane wave method for the subband structure calculations of Moiré systems
- Molecular Pairing in Twisted Bilayer Graphene Superconductivity
- Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene
- Flat-band optical phonons in twisted bilayer graphene
- Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe
- Electron phonon coupling in the topological heavy fermion model of twisted bilayer graphene
- Moiré optical phonons dancing with heavy electrons in magic-angle twisted bilayer graphene
- Resonating Valence Bond States in an Electron-Phonon System
- Kekulé spirals and charge transfer cascades in twisted symmetric trilayer graphene
- Bending Stiffness Collapse, Buckling, Topological Bands of Freestanding Twisted Bilayer Graphene
- Textured Exciton Insulators
- Competing Correlated Insulators in multi-orbital systems coupled to phonons
- Kekulé valence bond order in the honeycomb lattice optical Su-Schrieffer-Heeger Model and its relevance to Graphene
- Coulomb-driven band unflattening suppresses -phonon pairing in moiré graphene
- Band structure and optical response of Kekulé-modulated model
- Nonflat bands and chiral symmetry in magic-angle twisted bilayer graphene
- Correlation effects in magic-angle twisted bilayer graphene: An auxiliary-field quantum Monte Carlo study
- Mean-field Modelling of Moiré Materials: A User's Guide with Selected Applications to Twisted Bilayer Graphene