Graphene antidot lattice waveguides

Abstract

We introduce graphene antidot lattice waveguides: nanostructured graphene where a region of pristine graphene is sandwiched between regions of graphene antidot lattices. The band gap in the surrounding antidot lattices enable localized states to emerge in the central waveguide region. We model the waveguides via a position-dependent mass term in the Dirac approximation of graphene, and arrive at analytical results for the dispersion relation and spinor eigenstates of the localized waveguide modes. To include atomistic details we also use a tight-binding model, which is in excellent agreement with the analytical results. The waveguides resemble graphene nanoribbons, but without the particular properties of ribbons that emerge due to the details of the edge. We show that electrons can be guided through kinks without additional resistance and that transport through the waveguides is robust against structural disorder.

9 pages, 7 figures, accepted for publication in Physical Review B

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Cited by in corpus (19)

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• Patched Green's function techniques for two dimensional systems: Electronic behaviour of bubbles and perforations in graphene
• Electronic and optical properties of graphene antidot lattices: Comparison of Dirac and tight-binding models
• Dual-probe spectroscopic fingerprints of defects in graphene
• Unravelling the role of inelastic tunneling into pristine and defected graphene
• Graphene on graphene antidot lattices: Electronic and transport properties
• Dirac model of electronic transport in graphene antidot barriers
• Scaling behavior of spin transport in hydrogenated graphene
• Band-gap switching and scaling of nanoperforated graphene
• Inelastic vibrational signals in electron transport across graphene nanoconstrictions
• Spectral properties of relativistic quantum waveguides
• Emergence of bound states in ballistic magnetotransport of graphene antidots
• A DFT study on the electronic and magnetic properties of triangular graphene antidot lattices
• Protected edge states in silicene antidots and dots in magnetic field
• Perfectly Conducting Graphene Electronic Waveguide with Curved Channels
• Floquet Graphene Antidot Lattices
• Plasmon-mediated Coulomb drag between graphene waveguides
• Regularity of the density of states for random Dirac operators
• Gas adsorption effects on electronic and magnetic properties of triangular graphene antidot lattices