Localized and quasi-localized energy levels in the electron spectrum of graphene with isolated boron and nitrogen substitutions

Abstract

Based on the calculation and analysis of local Green functions of impurity atoms of low concentration in a two-dimensional graphene lattice, the conditions for the formation and characteristics of local discrete levels with energies lying outside the band of the quasi-continuous spectrum and quasi-localized states with energies near the Fermi one are determined. Specific calculations were performed for boron and nitrogen impurity atoms, which can actually replace carbon in graphite and graphene nanostructures. For a boron impurity that forms local discrete levels outside the band of the quasi-continuous spectrum, sufficiently simple analytical expressions for the conditions for their formation, energy, intensity at the impurity atom, and damping parameter are obtained. An analysis of the formation of states quasi-localized on nitrogen impurities with energy near the Fermi level in graphene nanostructures was carried out.

arXiv comment15 pages 6 figures

References in corpus (7)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• The structure of suspended graphene sheets
• Quasiparticle scattering and local density of states in graphite
• Impurity effects in a two--dimensional system with Dirac spectrum
• Electron waves in chemically substituted graphene
• Average Density of States in Disordered Graphene systems