Electronic properties of graphene antidot lattices
arXiv:0907.0122 · doi:10.1088/1367-2630/11/9/095020
Abstract
Graphene antidot lattices constitute a novel class of nano-engineered graphene devices with controllable electronic and optical properties. An antidot lattice consists of a periodic array of holes which causes a band gap to open up around the Fermi level, turning graphene from a semimetal into a semiconductor. We calculate the electronic band structure of graphene antidot lattices using three numerical approaches with different levels of computational complexity, efficiency, and accuracy. Fast finite-element solutions of the Dirac equation capture qualitative features of the band structure, while full tight-binding calculations and density functional theory are necessary for more reliable predictions of the band structure. We compare the three computational approaches and investigate the role of hydrogen passivation within our density functional theory scheme.
19 pages, 10 figures, 1 table, final version of invited paper to focus issue on graphene in New Journal of Physics
References in corpus (19)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Detection of Individual Gas Molecules Absorbed on Graphene
- Energy Band Gap Engineering of Graphene Nanoribbons
- Chiral tunneling and the Klein paradox in graphene
- Magnetism in Graphene Induced by Single-Atom Defects
- Spin qubits in graphene quantum dots
- Quantum-limited shot noise in graphene
- Electron beam nanosculpting of suspended graphene sheets
- Graphene Antidot Lattices - Designed Defects and Spin Qubits
- Vacancy induced magnetism in graphene and graphene ribbons
- Engineering artificial graphene in a two-dimensional electron gas
- First principles study of magnetism in nanographenes
- Making Massless Dirac Fermions from Patterned Two-Dimensional Electron Gases
- Weak Localization and Transport Gap in Graphene Antidot Lattices
- Optical properties of graphene antidot lattices
- Character of electronic states in graphene antidot lattices: Flat bands and spatial localization
- Magneto-conductance Oscillations in Graphene Antidot Arrays
- Spin qubits in antidot lattices