Electron waves in chemically substituted graphene

Abstract

We present exact analytical and numerical results for the electronic spectra and the Friedel oscillations around a substitutional impurity atom in a graphene lattice. A chemical dopant in graphene introduces changes in the on-site potential as well as in the hopping amplitude. We employ a T-matrix formalism and find that disorder in the hopping introduces additional interference terms around the impurity that can be understood in terms of bound, semi-bound, and unbound processes for the Dirac electrons. These interference effects can be detected by scanning tunneling microscopy.

4 pages, 7 figures

References in corpus (22)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Two Dimensional Atomic Crystals
• Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics
• Magnetism in Graphene Induced by Single-Atom Defects
• Electronic Properties of Disordered Two-Dimensional Carbon
• Disorder Induced Localized States in Graphene
• Scanning tunneling microscopy and spectroscopy of the electronic local density of states of graphite surfaces near monoatomic step edges
• Fabrication and Electric Field Dependent Transport Measurements of Mesoscopic Graphite Devices
• Electric Field Modulation of Galvanomagnetic Properties of Mesoscopic Graphite
• Conductance quantization in mesoscopic graphene
• Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene
• Local defects and ferromagnetism in graphene layers
• Impurity-Induced Virtual Bound States in d-Wave Superconductors
• Effects of topological defects and local curvature on the electronic properties of planar graphene
• Edge and Surface States in the Quantum Hall Effect in Graphene
• Impurity effects in a two--dimensional system with Dirac spectrum
• Early stages of radiation damage in graphite and carbon nanostructures: A first-principles molecular dynamics study
• Real-Space Imaging of Alternate Localization and Extension of Quasi Two-Dimensional Electronic States at Graphite Surfaces in Magnetic Fields
• Tailoring the diameter of decorated CN nanotubes by temperature variations using HF-CVD
• Singular current response from isolated impurities in d-wave superconductors

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