Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2010-04-30
Physica E, 42, 2005-2015 (2010)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
36 pages, 9 figures
Scientific paper
10.1016/j.physe.2010.03.007
Phonon softening phenomena of the $\Gamma$ 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 us with a unified way to discuss the curvature effect and the electron-phonon interaction.
Dresselhaus Mildred S.
Farhat Hamidullah
Saito Riichiro
Sasaki Kaori
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