Moiré minibands in graphene heterostructures with almost commensurate sqrt3 x sqrt3 hexagonal crystals

Abstract

We present a phenomenological theory of the low energy moiré minibands of Dirac electrons in graphene placed on an almost commensurate hexagonal underlay with a unit cell pproximately three times larger than that of graphene.A slight incommensurability results in a periodically modulated intervalley scattering for electrons in graphene. In contrast to the perfectly commensurate Kekulé distortion of graphene, such supperlattice perturbation leaves the zero energy Dirac cones intact, but is able to open a band gap at the edge of the first moiré subbband, asymmetrically in the conduction and valence bands.

5 pages, 3 figures

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• Graphene on Hexagonal Boron Nitride
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• Single-Valley Engineering in Graphene Superlattices
• Giant Edelstein effect in Topological-Insulator--Graphene heterostructures
• Kekule' textures, pseudo-spin one Dirac cones and quadratic band crossings in a graphene-hexagonal indium chalcogenide bilayer
• Enhanced Light-Matter Interaction in Graphene/h-BN van der Waals Heterostructures
• Engineering interaction-induced topological insulators in a $\sqrt{3}\times \sqrt{3}$ substrate-induced honeycomb superlattice
• Interacting Dirac fermions under spatially alternating pseudo-magnetic field: Realization of spontaneous quantum Hall effect
• Dirac Fermion Cloning, Moir$\acute{\mathbf{e}}$ Flat Bands and Magic Lattice Constants in Epitaxial Monolayer Graphene
• Modulation of Kekulé adatom ordering due to strain in graphene
• Optoelectronic Fingerprints of Interference between Different Charge Carriers in Graphene Superlattices and Analogies to Twisted Graphene Bilayers
• Determination of interatomic coupling between two-dimensional crystals using angle-resolved photoemission spectroscopy
• Strain impacts on commensurate bilayer graphene superlattices: distorted trigonal warping, emergence of bandgap and direct-indirect bandgap transition
• Kagome and honeycomb flat bands in moiré graphene
• Negative differential resistance in Van der Waals heterostructures due to moiré-induced spectral reconstruction
• Sliding Luttinger Liquid and Topological Flat Bands in Symmetry Mismatched Moiré Interfaces
• Controlled formation of an isolated miniband in bilayer graphene on an almost commensurate $\sqrt{3}\times \sqrt{3}$ substrate
• Electronic states in a superlattice consisting of alternating strips of single-layer and bilayer graphene