Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-10-22
Phys. Rev. B 78, 235405 (2008)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
12 pages, 7 figures
Scientific paper
10.1103/PhysRevB.78.235405
A phonon frequency shift of the radial breathing mode for metallic single wall carbon nanotubes is predicted as a function of Fermi energy. Armchair nanotubes do not show any frequency shift while zigzag nanotubes exhibit phonon softening, but this softening is not associated with the broadening. This chirality dependence originates from a curvature-induced energy gap and a special electron-phonon coupling mechanism for radial breathing modes. Because of the particle-hole symmetry, only the off-site deformation potential contributes to the frequency shift. On the other hand, the on-site potential contributes to the Raman intensity, and the radial breathing mode intensity is stronger than that of the $G$ band. The relationship between the chirality dependence of the frequency shift of the radial breathing mode and the $\Gamma$ point optical phonon frequency shift is discussed.
Dresselhaus Gene
Dresselhaus Mildred S.
Farhat Hamidullah
Kong Jason J.
Saito Riichiro
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