Phonon-phonon interactions and phonon damping in carbon nanotubes

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dc.creatorDe Martino, A.
dc.creatorEgger, R.
dc.creatorGogolin, A. O.
dc.date2009-03-10
dc.date2009-05-14
dc.date.accessioned2026-07-07T13:14:20Z
dc.date.available2026-07-07T13:14:20Z
dc.descriptionWe formulate and study the effective low-energy quantum theory of interacting long-wavelength acoustic phonons in carbon nanotubes within the framework of continuum elasticity theory. A general and analytical derivation of all three- and four-phonon processes is provided, and the relevant coupling constants are determined in terms of few elastic coefficients. Due to the low dimensionality and the parabolic dispersion, the finite-temperature density of noninteracting flexural phonons diverges, and a nonperturbative approach to their interactions is necessary. Within a mean-field description, we find that a dynamical gap opens. In practice, this gap is thermally smeared, but still has important consequences. Using our theory, we compute the decay rates of acoustic phonons due to phonon-phonon and electron-phonon interactions, implying upper bounds for their quality factor.
dc.description15 pages, 2 figures, published version
dc.identifierhttps://arxiv.org/abs/0903.1771
dc.identifierhttp://arxiv.org/abs/0903.1771
dc.identifierPhys. Rev. B 79, 205408 (2009)
dc.identifierdoi:10.1103/PhysRevB.79.205408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230179
dc.subjectMesoscale and Nanoscale Physics
dc.titlePhonon-phonon interactions and phonon damping in carbon nanotubes
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