Band structure and gaps of triangular graphene superlattices
arXiv:1006.0127 · doi:10.1098/rsta.2010.0214
Abstract
General properties of long wavelength triangular graphene superlattice are studied. It is shown that Dirac points with and without gaps can arise at a number of high symmetry points of the Brillouin Zone. The existence of gaps can lead to insulating behavior at commensurate fillings. Strain and magnetic superlattices are also discussed.
Manuscript submitted to a special graphene issue of Phil. Trans. A
References in corpus (29)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Substrate-induced band gap opening in epitaxial graphene
- Energy gaps, topological insulator state and zero-field quantum Hall effect in graphene by strain engineering
- Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
- Periodically rippled graphene: growth and spatially resolved electronic structure
- Two Dimensional Ir-Cluster Lattices on Moiré of Graphene with Ir(111)
- Graphene Antidot Lattices - Designed Defects and Spin Qubits
- Scanning Tunneling Spectroscopy of Graphene on Graphite
- Giant Phonon-induced Conductance in Scanning Tunneling Spectroscopy of Gate-tunable Graphene
- New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
- Unit cell of graphene on Ru(0001): a 25 x 25 supercell with 1250 carbon atoms
- Extra Dirac points in the energy spectrum for superlattices on single-layer graphene
- Existence and topological stability of Fermi points in multilayered graphene
- Gauge field induced by ripples in graphene
- Emerging Zero Modes for Graphene in a Periodic Potential
- Engineering artificial graphene in a two-dimensional electron gas
- Landau Levels and Quantum Hall Effect in Graphene Superlattices
- Electronic and Geometric Corrugation of Periodically Rippled, Self-nanostructured Graphene Epitaxially Grown on Ru(0001)
- Long-Range Interaction Between Adatoms in Graphene
- First principles study of the graphene/Ru(0001) interface
- Transport and localization in periodic and disordered graphene superlattices
- Phonon mediated tunneling into graphene
- Conductance of disordered graphene superlattice
- Tunable Band Gap in Graphene with a Non-Centrosymmetric Superlattice Potential
- The gapped state of a carbon mono-layer in periodic magnetic and electric fields
- Dirac Spectrum in Piecewise Constant One-Dimensional Potentials
- Gap opening in topological-defect lattices in graphene
- Millimeter-Scale, Highly Ordered Single Crystalline Graphene Grown on Ru (0001) Surface
Cited by in corpus (31)
- Dirac materials
- Generic Miniband Structure of Graphene on a Hexagonal Substrate
- Colloquium: Graphene spectroscopy
- Electron Interactions and Gap Opening in Graphene Superlattices
- Gaps tunable by electrostatic gates in strained graphene
- Nature of the spin liquid state of the Hubbard model on honeycomb lattice
- Topological Bloch Bands in Graphene Superlattices
- Generalized effective hamiltonian for graphene under non-uniform strain
- Graphene on incommensurate substrates: trigonal warping and emerging Dirac cone replicas with halved group velocity
- Moire superlattice effects in graphene/boron-nitride van der Waals heterostructures
- Transport in superlattices on single layer graphene
- Ising and Gross-Neveu model in next-to-leading order
- Pseudomagnetic fields in graphene nanobubbles of constrained geometry: A molecular dynamics study
- Robust zero-averaged wave-number gap inside gapped graphene superlattices
- Graphene superlattice with periodically modulated Dirac gap
- Critical (Chiral) Heisenberg Model with the Functional Renormalisation Group
- Electron-phonon interaction on the surface of a 3D topological insulator
- Competition of density waves and quantum multicritical behavior in Dirac materials from functional renormalization
- Hofstadter butterflies and magnetically induced band gap quenching in graphene antidot lattices
- Band gaps in graphene via periodic electrostatic gating
- Graphene: Kinks, Superlattices, Landau levels, and Magnetotransport
- Topological Aspect of Graphene Patchwork with Regular Arrays of Nano Holes
- Fate of Dirac Points in a Vortex Superlattice
- Magnetic skyrmion crystal at a topological insulator surface
- Tunable valley Hall effect in gate-defined graphene superlattices
- Landau level splitting due to graphene superlattices
- Velocity renormalization and Dirac cone multiplication in graphene superlattices with various barrier edge geometries
- Hierarchy of gaps and magnetic minibands in graphene in the presence of the Abrikosov vortex lattice
- Unveiling the Miniband Structure of Graphene Moiré Superlattices via Gate-dependent Terahertz Photocurrent Spectroscopy
- Designing Band Structures by Patterned Dielectric Superlattices
- Designing Flat Bands and Pseudo-Landau Levels in GaAs with Patterned Gates