Journal
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
Volume 42, Issue 8, Pages 2005-2015Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physe.2010.03.007
Keywords
Carbon nanotube; Graphene; Raman G band; Phonon self-energy; Curvature effect; Energy gap; Fermi energy
Funding
- MEXT [20001006, 20241023]
- NSF/DMR [07-04197]
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Phonon softening phenomena of the r point optical modes including the longitudinal optical mode, transverse optical mode and radial breathing mode in metallic single wall carbon nanotubes are reviewed from a theoretical point of view. The effect of the curvature-induced mini-energy gap on the phonon softening which depends on the Fermi energy and chirality of the nanotube is the main subject of this article. We adopt an effective-mass model with a deformation-induced gauge field which provides its with a unified way to discuss the curvature effect and the electron-phonon interaction. (C) 2010 Elsevier B.V. All rights reserved.
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