Flat Bands in Slightly Twisted Bilayer Graphene
arXiv:1012.4320 · doi:10.1103/PhysRevB.82.121407
Abstract
The bands of graphite are extremely sensitive to topological defects which modify the electronic structure. In this paper we found non-dispersive flat bands no farther than 10 meV of the Fermi energy in slightly twisted bilayer graphene as a signature of a transition from a parabolic dispersion of bilayer graphene to the characteristic linear dispersion of graphene. This transition occurs for relative rotation angles of layers around and is related to a process of layer decoupling. We have performed ab-initio calculations to develop a tight binding model with an interaction Hamiltonian between layers that includes the orbitals of all atoms and takes into account interactions up to third nearest-neighbors within a layer.
6 pages, 4 figures
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- Reflectionless pseudospin-1 Dirac systems via Darboux transformation and flat band solutions
- Electrical and thermal transport in a twisted heterostructure of transition metal dichalcogenide and CrI connected to a superconductor
- Tight binding approximation for bilayer graphene and nanotube structures: from commensurability to incommensurability between the layers
- Excitonic effects in twisted bilayer graphene
- Tuning monolayer superconductivity in twisted NbSe graphene heterostructures
- Signatures of electronic ordering in transport in graphene flat bands
- Effects of domain walls in bilayer graphene in an external magnetic field
- A New Era of Quantum Materials Mastery and Quantum Simulators In and Out of Equilibrium
- Higher-dimensional Fermiology in bulk moiré metals
- Geometrical properties of strained and twisted moiré heterostructures
- The kinetic theory of ultra-subsonic fermion systems and applications to flat band magic angle twisted bilayer graphene
- Band theory for heterostructures with interface superlattices
- On dielectric screening in twisted double bilayer graphene
- Negative electronic compressibility in charge islands in twisted bilayer graphene
- Incommensurability-induced sub-ballistic narrow-band-states in twisted bilayer graphene
- Twistraintronics in Square Moire Superlattices of Stacked Graphene Layers
- Photon absorption in twisted bilayer graphene
- Van der Waals Heterostructure PtHgSe/CrI for Topological Valleytronics
- Atomic relaxation and electronic structure in twisted bilayer MoS2 with rotation angle of 5.09 degrees
- Topological phase diagram of twisted bilayer graphene as a function of the twist angle
- Collective excitations of the Chern-insulator states in commensurate double moiré superlattices of twisted bilayer graphene on hexagonal boron nitride
- Review of the tight-binding method applicable to the properties of moiré superlattices
- Moiré-enabled topological superconductivity
- Evidence of electron-electron interactions around Van Hove singularities of a graphene Moiré superlattice
- Engineering Floquet moiré patterns for scalable photocurrents
- Gate-defined single-electron transistors in twisted bilayer graphene
- MoireStudio: A Universal Twisted Electronic Structure Calculation Package
- Critical analysis of the response function in low dimensional materials
- Effective tight-binding models in optical moiré potentials
- Interference effects in polarization controlled Rayleigh scattering in twisted bilayer graphene
- Geometric origins of topological insulation in twisted layered semiconductors
- Magic distances in twisted bilayer graphene
- Terahertz Landau level spectroscopy of Dirac fermions in millimeter-scale twisted bilayer graphene
- Electrodynamics of Thin Sheets of Twisted Material
- Small Angle and Non-Monotonic Behavior of the Thermal Conductivity in Twisted Bilayer Graphene
- Merged Four Dirac Points at the Critical Interlayer Distance in Commensurately Twisted Bilayer Graphene: the Origin of the Zero Velocity
- Electrically tunable stacking domains and ferroelectricity in moiré superlattices
- Lithography defined semiconductor moires with anomalous in-gap quantum Hall states
- Highly tunable Gilbert damping in two-dimensional van der Waals ferromagnet Fe3GaTe2: From bilayer to the twisted bilayer
- Magic-angle twisted bilayer graphene under orthogonal and in-plane magnetic fields
- Observation of an isolated flat band in the van der Waals crystal NbOCl
- Impact of vacancies on twisted bilayer graphene quantum point contacts
- Charged moiré phonons in twisted bilayer graphene
- Electric backaction on moiré mechanics
- Low-frequency and Moiré Floquet engineering: a review
- Solitonic self-sustained charge and energy transport on the superconducting cylinder
- The electronic band structures and optical absorption spectra for incommensurate twisted few-layers graphene
- Frequency comb in twisted magnonic crystals
- Anomalous enhancement of large-momentum scattering by electron-electron interaction in moiré superlattices
- Topologically nontrivial flat bands and quantum Hall crossovers in square-octagon lattice materials
- Weak localization and universal conductance fluctuations in large area twisted bilayer graphene
- Exactly solvable spin liquids in Kitaev bilayers and moiré superlattices
- Magnetism of magic-angle twisted bilayer graphene
- Exceptional flat bands in bipartite non-Hermitian lattices
- Spectroscopic evidence for electron correlations in the interface-modulated epitaxial bilayer graphene
- Electrostatic interactions in twisted bilayer graphene
- Network model and four-terminal transport in minimally twisted bilayer graphene
- The fate of disorder in twisted bilayer graphene near the magic angle
- Straintronics and twistronics in bilayer graphene
- Designer quantum matter in van der Waals heterostructures
- Moiré Topology in Twisted Structures with Noncollinear Spin-Orbit Coupling
- Magnetic colloidal single particles and dumbbells on a tilted washboard moire pattern in a precessing external field
- Buckling and flat bands in twisted bilayer graphene
- Interaction-driven charge textures and unconventional superconductivity in strained monolayer graphene
- Atomic frustration-based twistronics
- PhD Thesis: Electronic correlations in multiorbital systems
- Induced superconductivity in magic-angle twisted trilayer graphene through graphene-metal contacts
- Theory of engineering flat bands in graphene using doubly-periodic electrostatic gating
- Local phase-space Berry curvature and Hall transport in textured twisted bilayer graphene
- Decomposing Electronic Structures in Twisted Multilayers: Bridging Spectra and Incommensurate Wave Functions
- Nanostructuring Graphene by Dense Electronic Excitation
- Moiré-driven equilibrium of perturbations in moiré systems