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Continuum model for acoustic phonons in nanotubes: phonon bottleneck

Elastic continuum model is used to model acoustic phonons in single wall nanotubes (SWNTs). Based on elastic continuum theory, acoustic vibrational modes are modeled for both zigzag and armchair nanotubes of finite length using a variational solution of Donnell's equation. The acoustic phonon modes in these calculations are determined for both even and odd modes of the acoustic displacement. The dispersion relations vary with the length of the tube, and the results indicate that phonon bottleneck effects occur in short SWNTs. The displacement field of the nanotube is used to calculate the deformation potential interaction Hamiltonian. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)