{
  "id": "0903.1771",
  "version": "v2",
  "published": "2009-03-10T13:48:43.000Z",
  "updated": "2009-05-14T13:47:46.000Z",
  "title": "Phonon-phonon interactions and phonon damping in carbon nanotubes",
  "authors": [
    "A. De Martino",
    "R. Egger",
    "A. O. Gogolin"
  ],
  "comment": "15 pages, 2 figures, published version",
  "journal": "Phys. Rev. B 79, 205408 (2009)",
  "doi": "10.1103/PhysRevB.79.205408",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We 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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-05-14T13:47:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "63.22.Gh",
      "62.25.-g",
      "63.20.kg",
      "63.20.kd"
    ],
    "keywords": [
      "carbon nanotubes",
      "phonon-phonon interactions",
      "phonon damping",
      "effective low-energy quantum theory",
      "interacting long-wavelength acoustic phonons"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2009,
      "month": "May",
      "volume": 79,
      "number": 20,
      "pages": 205408
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhRvB..79t5408D"
    }
  }
}