Band Structures of Symmetrical Graphene Superlattice with Cells of three Regions
arXiv:1712.04188 · doi:10.1140/epjb/e2018-80715-7
Abstract
We study the electronic band structures of massless Dirac fermions in symmetrical graphene superlattice with cells of three regions. Using the transfer matrix method, we explicitly determine the dispersion relation in terms of different physical parameters. We numerically analyze such relation and show that there exist three zones: bound, unbound and forbidden states. In the central zone of the band structures, we determine and enumerate the vertical Dirac points, opening gaps and additional Dirac points. Finally, we inspect the potential effect on minibands, the anisotropy of group velocity and the energy bands contours near Dirac points. We also discuss the evolution of gap edges and cutoff region near the vertical Dirac points.
19 pages, 10 figures
References in corpus (12)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Chiral tunneling and the Klein paradox in graphene
- Unconventional Integer Quantum Hall effect in graphene
- Evidence of Klein tunneling in graphene p-n junctions
- Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
- Periodically rippled graphene: growth and spatially resolved electronic structure
- New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
- Superlattice Structures of Graphene based Nanoribbons
- Landau Levels and Quantum Hall Effect in Graphene Superlattices
- Electronic structure of a graphene superlattice with a modulated Fermi velocity
- Zero and Finite Energy Dirac Points in the Energy Band Structure of Magnetic Bilayer Graphene Superlattices