Curvature induced optical phonon frequency shift in metallic carbon nanotubes

Abstract

The quantum corrections to the frequencies of the $\Gamma$ point longitudinal optical (LO) and transverse optical (TO) phonon modes in carbon nanotubes are investigated theoretically. The frequency shift and broadening of the TO phonon mode strongly depend on the curvature effect due to a special electron-phonon coupling in carbon nanotubes, which is shown by the Fermi energy dependence of the frequency shift for different nanotube chiralities. It is also shown that the TO mode near the $\Gamma$ point decouples from electrons due to local gauge symmetry and that a phonon mixing between LO and TO modes is absent due to time-reversal symmetry. Some comparison between theory and experiment is presented.

9 pages, 8 figures

References in corpus (7)

• Electric Field Effect Tuning of Electron-Phonon Coupling in Graphene
• Size, Shape and Low Energy Electronic Structure of Carbon Nanotubes
• Kohn Anomalies and Electron-Phonon Interaction in Graphite
• Non-adiabatic Kohn-anomaly in a doped graphene monolayer
• Gauge field for edge state in graphene
• Variable Electron-Phonon Coupling in Isolated Metallic Carbon Nanotubes Observed by Raman Scattering
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• Resonant Raman Spectroscopy of Armchair Carbon Nanotubes: Absence of "Metallic" Signature
• Chirality dependent frequency shift of radial breathing mode in metallic carbon nanotubes
• Kohn Anomaly in Raman Spectroscopy of Single Wall Carbon Nanotubes
• Chiral Polaron Formation in Graphene
• Polarization Dependence of Raman Spectra in Strained Graphene
• Tailored nano-antennas for directional Raman studies of individual carbon nanotubes
• Long-wavelength optical phonon behavior in uniaxial strained graphene: Role of electron-phonon interaction
• Self-Charged Graphene Battery Harvests Electricity from Thermal Energy of the Environment
• Renormalization of the optical band gap through an effective Thirring interaction for massive Dirac-like electrons