Electronic structure of a graphene superlattice with massive Dirac fermions

Abstract

We study the electronic and transport properties of a graphene-based superlattice theoretically by using an effective Dirac equation. The superlattice consists of a periodic potential applied on a single-layer graphene deposited on a substrate that opens an energy gap of $2\Delta$ in its electronic structure. We find that extra Dirac points appear in the electronic band structure under certain conditions, so it is possible to close the gap between the conduction and valence minibands. We show that the energy gap $E_g$ can be tuned in the range $0\le E_g\le 2\Delta$ by changing the periodic potential. We analyze the low energy electronic structure around the contact points and find that the effective Fermi velocity in very anisotropic and depends on the energy gap. We show that the extra Dirac points obtained here behave differently compared to previously studied systems.

References in corpus (37)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene
• Electronic transport in two dimensional graphene
• Substrate-induced band gap opening in epitaxial graphene
• Substrate-induced bandgap in graphene on hexagonal boron nitride
• Colloquium: The transport properties of graphene: An introduction
• Periodically rippled graphene: growth and spatially resolved electronic structure
• Magnetic confinement of massless Dirac fermions in graphene
• New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
• Fermi velocity engineering in graphene by substrate modification
• Electron Beam Supercollimation in Graphene Superlattices
• 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
• Emerging Zero Modes for Graphene in a Periodic Potential
• Dirac and Klein-Gordon particles in one-dimensional periodic potentials
• Electronic Band gaps and transport properties inside graphene superlattices with one-dimensional periodic squared potentials
• Multiple magnetic barriers in graphene
• Dirac Fermion Confinement in Graphene
• Landau Levels and Quantum Hall Effect in Graphene Superlattices
• Growth and Electronic Structure of Boron-Doped Graphene
• Dirac electrons in a Kronig-Penney potential: dispersion relation and transmission periodic in the strength of the barriers
• Transport and localization in periodic and disordered graphene superlattices
• Electron optics with magnetic vector potential barriers in graphene
• Scattering in one-dimensional heterostructures described by the Dirac equation
• Magnetic field induced confinement-deconfinement transition in graphene quantum dots
• Tunable Band Gap in Graphene with a Non-Centrosymmetric Superlattice Potential
• Evidence for Superlattice Dirac Points and Space-dependent Fermi Velocity in Corrugated Graphene Monolayer
• Resonant valley filtering of massive Dirac electrons
• Robust zero-averaged wave-number gap inside gapped graphene superlattices
• Controlling the energy gap of graphene by Fermi velocity engineering
• Graphene superlattice with periodically modulated Dirac gap
• Graphene quantum dots formed by a spatial modulation of the Dirac gap
• Tunable quantum dots in monolayer graphene
• Dirac Spectrum in Piecewise Constant One-Dimensional Potentials
• Indirect band gap in graphene from modulation of the Fermi velocity
• Proposal for a magnetic field induced graphene dot

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• Robust Low-Bias Negative Differential Resistance in Graphene Superlattices
• Electronic transport in disordered graphene superlattices with scale-free correlated barrier spacements
• Charge-pseudospin coupled diffusion in semi-Dirac graphene: pseudospin assisted valley transport
• Electronic properties of single and double napped carbon nanocones
• Transport properties through alternating borophene and graphene superlattices
• Band structures and contact points in phosphorene superlattice
• Relativistic Quantum Dynamics on a Double Cone