The crucial role of atomic corrugation on the flat bands and energy gaps of twisted bilayer graphene at the "magic angle"
arXiv:1902.02690 · doi:10.1103/PhysRevB.99.195419
Abstract
We combine state-of-the-art large-scale first principles calculations with a low-energy continuum model to describe the nearly flat bands of twisted bilayer graphene at the first magic angle . We show that the energy width of the flat band manifold, as well as the energy gap separating it from the valence and conduction bands, can be obtained only if the out-of-plane relaxations are fully taken into account. The results agree both qualitatively and quantitatively with recent experimental outcomes.
arXiv commentPublished in Phys. Rev. B 99, 195419 (2019)
References in corpus (28)
- Topological Insulators
- Van der Waals heterostructures
- 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
- Graphene bilayer with a twist: electronic structure
- Continuum Model of the Twisted Bilayer
- Twistable electronics with dynamically rotatable heterostructures
- Maximally-localized Wannier orbitals and the extended Hubbard model for the twisted bilayer graphene
- Optical Absorption in Twisted Bilayer Graphene
- Commensuration and Interlayer Coherence in Twisted Bilayer Graphene
- Symmetry, maximally localized Wannier states, and low energy model for the twisted bilayer graphene narrow bands
- The pseudo-Landau-level representation of twisted bilayer graphene: band topology and the implications on the correlated insulating phase
- Quantum transport in Rashba spin-orbit materials: A review
- Relaxation of moiré patterns for slightly misaligned identical lattices: graphene on graphite
- Electronic Structure Theory of Weakly Interacting Bilayers
- Structural and electronic transformation in low-angle twisted bilayer graphene
- Strong electron-phonon coupling, electron-hole asymmetry, and nonadiabaticity in magic-angle twisted bilayer graphene
- Electronic spectrum of twisted bilayer graphene
- Multiple topological transitions in twisted bilayer graphene near the first magic angle
- Spin Channels in Functionalized Graphene Nanoribbons
- Structure of twisted and buckled bilayer graphene
- Emergent symmetry in fully-relaxed magic-angle twisted bilayer graphene
- Minimum model for the electronic structure of twisted bilayer graphene and related structures
- Is Twisted Bilayer Graphene Stable under Shear?
- Spin Hall effect in a two-dimensional electron gas in the presence of a magnetic field
- Time-evolution patterns of electrons in twisted bilayer graphene
- Correlated Insulating and Superconducting States in Twisted Bilayer Graphene Below the Magic Angle
Cited by in corpus (103)
- Deep-Learning Density Functional Theory Hamiltonian for Efficient ab initio Electronic-Structure Calculation
- Continuum models for twisted bilayer graphene: the effects of lattice deformation and hopping parameter
- Electronic Compressibility of Magic-Angle Graphene Superlattices
- 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
- Vortexability: A Unifying Criterion for Ideal Fractional Chern Insulators
- Tunable electrochemistry with moiré flat bands and topological defects at twisted bilayer graphene
- General framework for E(3)-equivariant neural network representation of density functional theory Hamiltonian
- One-dimensional flat bands in twisted bilayer germanium selenide
- Moiré phonons in the twisted bilayer graphene
- Continuum model for relaxed twisted bilayer graphenes and moiré electron-phonon interaction
- Cold atoms in twisted bilayer optical potentials
- Electrically Tunable Flat Bands and Magnetism in Twisted Bilayer Graphene
- Symmetry breaking and skyrmionic transport in twisted bilayer graphene
- Charge Smoothening and Band Flattening due to Hartree corrections in Twisted Bilayer Graphene
- Structural relaxation and low energy properties of Twisted Bilayer Graphene
- KITE: high-performance accurate modelling of electronic structure and response functions of large molecules, disordered crystals and heterostructures
- Phonons in Twisted Transition Metal Dichalcogenide Bilayers ("Twistnonics"): Ultra-soft Phasons, and a transition from Superlubric to Pinned Phase
- Heavy fermion representation for twisted bilayer graphene systems
- Strong Coupling Theory of Magic-Angle Graphene: A Pedagogical Introduction
- Optically induced flat bands in twisted bilayer graphene
- Valley Jahn-Teller effect in twisted bilayer graphene
- Optical and plasmonic properties of twisted bilayer graphene: Impact of interlayer tunneling asymmetry and ground-state charge inhomogeneity
- Mirror Symmetry Breaking and Lateral Stacking Shifts in Twisted Trilayer Graphene
- Perfect one-dimensional chiral states in biased twisted bilayer graphene
- Perfect and controllable nesting in the small angle twist bilayer graphene
- Electrical band flattening, valley flux, and superconductivity in twisted trilayer graphene
- Machine-learning models for Raman spectra analysis of twisted bilayer graphene
- Reconstruction of moiré lattices in twisted transition metal dichalcogenide bilayers
- Pressure induced gap modulation and topological transitions in twisted bilayer and double bilayer graphene
- Kondo Phase in Twisted Bilayer Graphene -- A Unified Theory for Distinct Experiments
- Twistronics in graphene-based van der Waals structures
- Collective excitations and plasmon spectrum in twisted bilayer graphene near the magic angle
- Classifying superconductivity in Moiré graphene superlattices
- Electronic localization in small-angle twisted bilayer graphene
- Nematic superconductivity in magic-angle twisted bilayer graphene from atomistic modeling
- Lattice relaxation, mirror symmetry and magnetic field effects on ultraflat bands in twisted trilayer graphene
- Local Kekulé distortion turns twisted bilayer graphene into topological Mott insulators and superconductors
- Truncated atomic plane wave method for the subband structure calculations of Moiré systems
- Direct evidence for flat bands in twisted bilayer graphene from nano-ARPES
- Electric-field-tunable electronic nematic order in twisted double-bilayer graphene
- Engineering flat bands in twisted-bilayer graphene away from the magic angle with chiral optical cavities
- Functional renormalization group for a large moiré unit cell
- Emergent magnetic texture in driven twisted bilayer graphene
- Twisted bilayer graphene revisited: minimal two-band model for low-energy bands
- Symmetry breaking in the double moiré superlattices of relaxed twisted bilayer graphene on hexagonal boron nitride
- Chirality-induced spin texture switching in twisted bilayer graphene
- Emergence of Chern insulating states in non-Magic angle twisted bilayer graphene
- four-band Wannier tight-binding model for generic twisted graphene systems
- Correlated states of a triangular net of coupled quantum wires: Implications for the phase diagram of marginally twisted bilayer graphene
- Full Slonczewski-Weiss-McClure parametrization of few-layer twistronic graphene
- Time-reversal versus chiral symmetry breaking in twisted bilayer graphene
- Interferometric 4D-STEM for Lattice Distortion and Interlayer Spacing Measurements in Bilayer and Trilayer Two-dimensional Materials
- Multi-layered atomic relaxation in van der Waals heterostructures
- ARPES signatures of few-layer twistronic graphenes
- Moiré Engineering of Spin-Orbit Coupling in Twisted Platinum Diselenide
- Tunable electronic and magnetic properties of thin NbI nanofilms: interplay between strain and thickness
- Energetic stability and spatial inhomogeneity in the local electronic structure of relaxed twisted trilayer graphene
- de Haas-van Alphen spectroscopy and fractional quantization of magnetic-breakdown orbits in moiré graphene
- Classifying induced superconductivity in atomically thin Dirac-cone materials
- Misalignment instability in magic-angle twisted bilayer graphene on hexagonal boron nitride
- Obstruction and Interference in Low Energy Models for Twisted Bilayer Graphene
- Quantifying the charge carrier interaction in metallic twisted graphene superlattices
- Theory of intrinsic acoustic plasmons in twisted bilayer graphene
- Nematic insulator at charge neutrality in twisted bilayer graphene
- Origin of the vortex displacement field in twisted bilayer graphene
- Activating magnetoelectric optical properties by twisting antiferromagnetic bilayers
- An Calculation Scheme for Large-Scale Moiré Structures
- Pressure-Driven Moiré Potential Enhancement and Tertiary Gap Opening in Graphene/h-BN Heterostructure
- Seeing moiré: convolutional network learning applied to twistronics
- Defect-induced band restructuring and length scales in twisted bilayer graphene
- Atomistic theory of moiré Hofstadter's butterfly in magic-angle graphene
- Superconductivity from spin fluctuations and long-range interactions in magic-angle twisted bilayer graphene
- Review: Advanced characterization of the spatial variation of moiré heterostructures and moiré excitons
- Absence of Edge States in The Valley Chern Insulator in Moiré Graphene
- Layer Hall counterflow as a model probe of magic-angle twisted bilayer graphene
- Optical Hall response of bilayer graphene: the manifestation of chiral hybridised states in broken mirror symmetry lattices
- Short vs. long range exchange interactions in twisted bilayer graphene
- Construction of low-energy symmetric Hamiltonians and Hubbard parameters for twisted multilayer systems using ab-initio input
- Emergence of intrinsically isolated flat bands and their topology in fully relaxed twisted multi-layer graphene
- Vacancy-induced tunable Kondo effect in twisted bilayer graphene
- Twist Angle, Strain, Corrugation and Moire Unit cell in Twisted Bilayer Graphene
- Quantum anomalous Hall effects and emergent Hall ferromagnets at fractional filling of helical trilayer graphene
- Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals
- Geometrical properties of strained and twisted moiré heterostructures
- Phonon Linewidths in Twisted Bilayer Graphene near Magic Angle
- Lattice Model For The Quantum Anomalous Hall Effect in Moiré Graphene
- Wavefunction textures in twisted bilayer graphene from first principles
- Interference effects in polarization controlled Rayleigh scattering in twisted bilayer graphene
- Ab initio study of angle-resolved electron reflection spectroscopy of few-layer graphene
- MoireStudio: A Universal Twisted Electronic Structure Calculation Package
- Mean-field Modelling of Moiré Materials: A User's Guide with Selected Applications to Twisted Bilayer Graphene
- Twisted bilayer graphene from first-principles: structural and electronic properties
- Impact of vacancies on twisted bilayer graphene quantum point contacts
- Magic distances in twisted bilayer graphene
- Quantum Monte Carlo study of magnetism and chiral d+id-wave superconductivity in twisted bilayer graphene
- Buckling and flat bands in twisted bilayer graphene
- Moiré-driven equilibrium of perturbations in moiré systems
- Decomposing Electronic Structures in Twisted Multilayers: Bridging Spectra and Incommensurate Wave Functions
- Twister: Construction and structural relaxation of commensurate moiré superlattices
- A general relation between stacking order and Chern index: a topological map of minimally twisted bilayer graphene
- Magnetic Ordering in Moiré Graphene Multilayers from a Continuum Hartree+U Approach
- Relaxation and Its Effects on Electronic Structure in Twisted Systems: An Analytical Perspective