Graphene on incommensurate substrates: trigonal warping and emerging Dirac cone replicas with halved group velocity

Abstract

The adhesion of graphene on slightly lattice-mismatched surfaces, for instance of hexagonal boron nitride (hBN) or Ir(111), gives rise to a complex landscape of sublattice symmetry-breaking potentials for the Dirac fermions. Whereas a gap at the Dirac point opens for perfectly lattice-matched graphene on hBN, we show that the small lattice incommensurability prevents the opening of this gap and rather leads to a renormalized Dirac dispersion with a trigonal warping. This warping breaks the effective time reversal symmetry in a single valley. On top of this a new set of massless Dirac fermions is generated, which are characterized by a group velocity that is half the one of pristine graphene.

References in corpus (11)

• Boron nitride substrates for high-quality graphene electronics
• Doping graphene with metal contacts
• STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride
• Andreev reflection and Klein tunneling in graphene
• Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
• Electron Beam Supercollimation in Graphene Superlattices
• Quasiparticle bandgap engineering of graphene and graphone on hexagonal boron nitride substrate
• Band structure and gaps of triangular graphene superlattices
• Effective Magnetic Fields in Graphene Superlattices

Cited by in corpus (58)

• Cloning of Dirac fermions in graphene superlattices
• Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
• Dirac materials
• Electronic and optical properties of strained graphene and other strained 2D materials: a review
• Twist-controlled resonant tunnelling in graphene-boron nitride-graphene heterostructures
• Hydrodynamics of electrons in graphene
• Origin of band gaps in graphene on hexagonal boron nitride
• Generic Miniband Structure of Graphene on a Hexagonal Substrate
• Ab-Initio Theory of Moiré Superlattice Bands in Layered Two-Dimensional Materials
• Electronic properties of graphene hexagonal boron nitride moiré superlattice
• Second generation Dirac cones and inversion symmetry breaking induced gaps in graphene/hexagonal boron nitride
• Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices
• Ballistic miniband conduction in a graphene superlattice
• High-temperature quantum oscillations caused by recurring Bloch states in graphene superlattices
• Interlayer interaction in general incommensurate atomic layers
• New generation of moiré superlattices in doubly aligned hBN/graphene/hBN heterostructures
• Nonlinear Hall effect with time-reversal symmetry: Theory and material realizations
• Band gaps in incommensurable graphene on hexagonal boron nitride
• Graphene on Hexagonal Boron Nitride
• Moiré band model and band gaps of graphene on hexagonal boron nitride
• Moire superlattice effects in graphene/boron-nitride van der Waals heterostructures
• Topological carbon materials: a new perspective
• Kekule' textures, pseudo-spin one Dirac cones and quadratic band crossings in a graphene-hexagonal indium chalcogenide bilayer
• Ising and Gross-Neveu model in next-to-leading order
• Universal classification of twisted, strained and sheared graphene moiré superlattices
• Theory of the Dirac Half Metal and Quantum Anomalous Hall Effect in Mn Intercalated Epitaxial Graphene
• Heterostructure bilayer graphene-hBN: Interplay between misalignment, interlayer asymmetry, and trigonal warping
• Nonlinear photocurrents in two-dimensional systems based on graphene and boron nitride
• Dirac edges of fractal magnetic minibands in graphene with hexagonal moire superlattices
• Critical (Chiral) Heisenberg Model with the Functional Renormalisation Group
• Emergence of massless Dirac fermions in graphene's Hofstadter butterfly at switches of the quantum Hall phase connectivity
• Moire pattern as a magnifying glass for strain and dislocations in van der Waals heterostructures
• Topological Signatures in the Electronic Structure of Graphene Spirals
• Competition of density waves and quantum multicritical behavior in Dirac materials from functional renormalization
• Transport and particle-hole asymmetry in graphene on boron nitride
• Generation and morphing of plasmons in graphene superlattices
• Infrared absorption by graphene-hBN heterostructures
• Moiré minibands in graphene heterostructures with almost commensurate sqrt3 x sqrt3 hexagonal crystals
• Engineering interaction-induced topological insulators in a $\sqrt{3}\times \sqrt{3}$ substrate-induced honeycomb superlattice
• Electrostatic Superlattices on Scaled Graphene Lattices
• Graphene: Kinks, Superlattices, Landau levels, and Magnetotransport
• Electronic structure of transferred graphene/h-BN van der Waals heterostructures with nonzero stacking angles by nano-ARPES
• Gate tunable quantum transport in double layer graphene
• Proximity effects in cold atom artificial graphene
• Fractional Hofstadter States in Graphene on Hexagonal Boron Nitride
• Multiple negative differential conductance regions and inelastic phonon assisted tunneling in graphene-hBN-graphene structures
• A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
• Floquet topological phase transitions in a kicked Haldane-Chern insulator
• General theoretical description of angle-resolved photoemission spectroscopy of van der Waals structures
• Theory of ARPES in Graphene-Based Moiré Superlattices
• Topological phase transition from trigonal warping in van der Waals multilayers
• Progress on band structure engineering of twisted bilayer and two-dimensional moiré heterostructures
• THz conductivity of graphene on boron nitride
• Impacts of in-plane strain on commensurate graphene/hexagonal boron nitride superlattices
• Electron Confinement Induced by Diluted Hydrogen-like Ad-atoms in Graphene Ribbons
• Unveiling the Miniband Structure of Graphene Moiré Superlattices via Gate-dependent Terahertz Photocurrent Spectroscopy
• Effect of asymmetric Fermi velocity on trigonally warped spectrum of bilayer graphene
• Trigonal Quasicrystalline States in $30^{\circ }$ Rotated Double Moiré Superlattices