Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-03-27
Phys. Rev. B 77, 245441 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
9 pages, 8 figures
Scientific paper
10.1103/PhysRevB.77.245441
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.
Dresselhaus Gene
Dresselhaus Mildred S.
Farhat Hamidullah
Kong Jason J.
Saito Riichiro
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