Topological phase diagram of twisted bilayer graphene as a function of the twist angle
arXiv:2507.05341 · doi:10.1103/hzm9-bnwl
Abstract
Twisted bilayer graphene (TBG) hosts a rich landscape of electronic phases arising from the interplay between strong electron-electron interactions and nontrivial band topology. While the flat bands near zero energy are central to many correlated phenomena, their interaction with higher-energy remote bands remains less understood. Here, we investigate these hybridization processes as a function of the twist angle and analyze their impact on the charge distribution, topological properties such as Chern number, quantum metric, and orbital magnetic energy. We identify multiple topological phase transitions between magic angles, driven by band inversions at high-symmetry points in momentum space. Notably, the central bands can exhibit phases with Chern numbers C = 2, revealing previously unreported topological states in TBG.
arXiv comment13 pages, 8 figures. Comments are very welcome
References in corpus (73)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Maximally-localized generalized Wannier functions for composite energy bands
- Topological Insulators with Inversion Symmetry
- Moire bands in twisted double-layer graphene
- Tuning superconductivity in twisted bilayer graphene
- Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
- Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
- Graphene bilayer with a twist: electronic structure
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Flat Bands in Slightly Twisted Bilayer Graphene
- Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
- Graphene Bilayers with a Twist
- Origin of Magic Angles in Twisted Bilayer Graphene
- Detecting Topological Currents in Graphene Superlattices
- Localization of Dirac electrons by Moire patterns in graphene bilayers
- Progress and perspectives on the electron-doped cuprates
- Lattice relaxation and energy band modulation in twisted bilayer graphenes
- Fractional Chern insulators in magic-angle twisted bilayer graphene
- Untying the insulating and superconducting orders in magic-angle graphene
- Commensuration and Interlayer Coherence in Twisted Bilayer Graphene
- Electric field tunable unconventional superconductivity in alternating twist magic-angle trilayer graphene
- Origin of band gaps in graphene on hexagonal boron nitride
- Electrostatic effects, band distortions and superconductivity in twisted graphene bilayers
- Magic Angle Hierarchy in Twisted Graphene Multilayers
- MATBG as Topological Heavy Fermion: I. Exact Mapping and Correlated Insulators
- Fractional Chern Insulator States in Twisted Bilayer Graphene: An Analytical Approach
- Non-Abelian gauge potentials in graphene bilayers
- Second generation Dirac cones and inversion symmetry breaking induced gaps in graphene/hexagonal boron nitride
- Exact Landau Level Description of Geometry and Interaction in a Flatband
- Classification of flat bands according to the band-crossing singularity of Bloch wave functions
- Charged Skyrmions and Topological Origin of Superconductivity in Magic Angle Graphene
- Observation of an intrinsic bandgap and Landau level renormalization in graphene/boron-nitride heterostructures
- Electron Interactions and Gap Opening in Graphene Superlattices
- Ballistic miniband conduction in a graphene superlattice
- Nematic topological semimetal and insulator in magic angle bilayer graphene at charge neutrality
- Local spectroscopy of moiré-induced electronic structure in gate-tunable twisted bilayer graphene
- Vortexability: A Unifying Criterion for Ideal Fractional Chern Insulators
- Topologically Protected Zero Modes in Twisted Bilayer Graphene
- Topological Lifshitz transitions
- Insulating behavior at the neutrality point in dual-gated, single-layer graphene
- Family of ideal Chern flat bands with arbitrary Chern number in chiral twisted graphene multilayers
- Accurate Gap Determination in Monolayer and Bilayer Graphene/h-BN Moire Superlattices
- Graphene on Hexagonal Boron Nitride
- Square-root higher-order topological insulator on a decorated honeycomb lattice
- Magic-angle helical trilayer graphene
- Interlayer coupling in rotationally faulted multilayer graphenes
- Charge Smoothening and Band Flattening due to Hartree corrections in Twisted Bilayer Graphene
- Coulomb screening and thermodynamic measurements in magic-angle twisted trilayer graphene
- Cascades between light and heavy fermions in the normal state of magic angle twisted bilayer graphene
- Charge redistribution and interlayer coupling in twisted bilayer graphene under electric fields
- Origin of Model Fractional Chern Insulators in All Topological Ideal Flatbands: Explicit Color-entangled Wavefunction and Exact Density Algebra
- Band structure of twisted bilayer graphene on hexagonal boron nitride
- Heavy fermion representation for twisted bilayer graphene systems
- Chiral Magic-Angle Twisted Bilayer Graphene in a Magnetic Field: Landau Level Correspondence, Exact Wavefunctions and Fractional Chern Insulators
- Heavy quasiparticles and cascades without symmetry breaking in twisted bilayer graphene
- Exact Many-Body Ground States from Decomposition of Ideal Higher Chern Bands: Applications to Chirally Twisted Graphene Multilayers
- An accurate description of the structural and electronic properties of twisted bilayer graphene-boron nitride heterostructures
- Dirac cone spectroscopy of strongly correlated phases in twisted trilayer graphene
- Reduction of the Twisted Bilayer Graphene Chiral Hamiltonian into a matrix operator and physical origin of flat-bands at magic angles
- Square-root topological phase with time-reversal and particle-hole symmetry
- Molecular-orbital representation of generic flat-band models
- 3/2 magic-angle quantization rule of flat bands in twisted bilayer graphene and relationship with the Quantum Hall effect
- Evolution of Superconductivity in Twisted Graphene Multilayers
- Electronic properties of twisted bilayer graphene suspended and encapsulated with hexagonal boron nitride
- Landau Quantization in Twisted Bilayer Graphenes: the Dirac Comb
- Moiré edge states in twisted bilayer graphene and their topological relation to quantum pumping
- Why the first magic-angle is different from others in twisted graphene bilayers: interlayer currents, kinetic and confinement energy and wavefunction localization
- Anomalous Coherence Length in Superconductors with Quantum Metric
- Higher-Order Topological Insulator on a Martini Lattice and Its Square Root Descendant
- A higher-dimensional quasicrystalline approach to the Hofstadter and Fibonacci butterflies topological phase diagram and band conductance: symbolic sequences, Sturmian coding and self-similar rules at all magnetic fluxes
- Molecular-orbital representation with random U(1) variables
- π-Conjugation in Epitaxial Si(111)-() Surface: an Unconventional "Bamboo Hat" Bonding Geometry for Si
- Fubini-Study metric and topological properties of flat band electronic states: the case of an atomic chain with orbitals