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The European Physical Journal Special Topics

, Volume 148, Issue 1, pp 159–170 | Cite as

Optical phonons of graphene and nanotubes

  • S. Piscanec
  • M. Lazzeri
  • F. Mauri
  • A. C. FerrariEmail author
Article

Abstract.

We review the optical phonon dispersions of graphene. In particular, we focus on the presence of two Kohn anomalies in the highest optical phonon branch at the \(\bf \Gamma\) and \(\bf K\) points of the Brillouin zone. We then show how graphene can be used as a model for the calculation of phonons in carbon nanotubes. Finally, we present the beyond Born-Oppenheimer corrections to their phonon dispersions. These are experimentally revealed in the Raman spectra of doped samples.

Keywords

Raman Spectrum European Physical Journal Special Topic Optical Phonon Phonon Dispersion Dynamical Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • S. Piscanec
    • 1
  • M. Lazzeri
    • 2
  • F. Mauri
    • 2
  • A. C. Ferrari
    • 1
    Email author
  1. 1.Engineering DepartmentCambridge UniversityCambridgeUK
  2. 2.IMPMC, Universités Paris 6 et 7, CNRSParisFrance

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