Phonon Dispersion in Chiral Single Wall Carbon Nanotubes
Weihua Mu, Anthony Nickolas Vamivakas, Zhong-can Ou-Yang
Abstract
The phonon dispersion of chiral single wall carbon nanotubes has been obtained from 6× 6 dyanimic matrix. The present manuscript is the extension of G. D. Mahan and Gun Sang Jeon's work on armchair and zigzag nanotubes. [see P. R. B., 70, 075405 (2004)]. We use spring and mass model with the proper phonon potential suggested by M2. We can calculate the dispersion of single wall carbon nanotubes near Γ point with arbitrary chirality. The results are compatible with Mahan et. al's results for armchair and zigzag SWNTs.
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