Electrical conductivity and resonant states of doped graphene considering next-nearest neighbor interaction

• Published in: Philosophical magazine (Abingdon, England) Vol. 91; no. 29; pp. 3844 - 3857
• Main Authors: Barrios-Vargas, J.E., Naumis, Gerardo G.
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 11.10.2011; Taylor & Francis
• Subjects: carbon nanostructures; carbon thin films; carbon-based materials; Condensed matter: electronic structure, electrical, magnetic, and optical properties; Cross-disciplinary physics: materials science; rheology; disorder in graphene; electrical conductivity in graphene; Electron states and collective excitations in thin films, multilayers, quantum wells, mesoscopic and nanoscale systems; electronic conduction; electronic density of states; Electronic structure and electrical properties of surfaces, interfaces, thin films and low-dimensional structures; electronic transport; Exact sciences and technology; Fullerenes and related materials; diamonds, graphite; graphene; Materials science; mobility; Nanocrystalline materials; Nanoscale materials and structures: fabrication and characterization; Physics; Specific materials; tight-binding Hamiltonians; Kubo formula; Electronic properties; Electrical conductivity; Electronic conductivity; Mean free path; Fermi resonance; Impurity scattering; Doping; Carbon nanotubes; Resonance energy; Relaxation time; Defects; Resonance scattering; Resonant states; Impurities; Fermi level; Tight binding approximation; Graphene; Nanostructured materials; Electron-impurity interactions; Tight-binding calculations
• ISSN: 1478-6435; 1478-6443
• DOI: 10.1080/14786435.2011.594457

The next-nearest neighbor interaction (NNN) is included in a tight-binding Kubo formula calculation of the electronic spectrum and conductivity of doped graphene. As a result, we observe a wide variation of the behavior of the conductivity, as happens in carbon nanotubes, since the Fermi energy and the resonance peak are not shifted by the same amount when the NNN interaction is included. This finding may have a profound effect on the idea of explaining the minimal conductivity of graphene as a consequence of impurities or defects. Finally, we also estimate the mean free path and relaxation time due to resonant impurity scattering.