Chapter

Carbon Nanotubes

Volume 111 of the series Topics in Applied Physics pp 673-709

Electron and Phonon Properties of Graphene: Their Relationship with Carbon Nanotubes

  • J.-C. CharlierAffiliated withUnité de Physico-Chimie et de Physique des Matériaux, UniversitéCatholique de Louvain Email author 
  • , P. C. EklundAffiliated withDepartment of Physics, The Pennsylvania State University
  • , J. ZhuAffiliated withDepartment of Physics, The Pennsylvania State University
  • , A. C. FerrariAffiliated withEngineering Department, Cambridge University

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Abstract

The discovery of Novoselov et al. (2004) of a simple method to transfer a singleatomic layer of carbon from the c-face of graphite to a substrate suitable for themeasurement of its electrical and optical properties has led to a renewed interest inwhat was considered to be before that time a prototypical, yet theoretical,two-dimensional system. Indeed, recent theoretical studies of graphene reveal that thelinear electronic band dispersion near the Brillouin zone corners gives rise to electronsand holes that propagate as if they were massless fermions and anomalous quantumtransport was experimentally observed. Recent calculations and experimentaldetermination of the optical phonons of graphene reveal Kohn anomaliesat high-symmetry points in the Brillouin zone. They also show that theBorn–Oppenheimer principle breaks down for doped graphene. Since a carbonnanotube can be viewed as a rolled-up sheet of graphene, these recent theoretical andexperimental results on graphene should be important to researchers working oncarbon nanotubes. The goal of this contribution is to review the exciting newsabout the electronic and phonon states of graphene and to suggest howthese discoveries help understand the properties of carbon nanotubes.