Issue |
EPL
Volume 113, Number 1, January 2016
|
|
---|---|---|
Article Number | 16002 | |
Number of page(s) | 6 | |
Section | Condensed Matter: Structural, Mechanical and Thermal Properties | |
DOI | https://doi.org/10.1209/0295-5075/113/16002 | |
Published online | 25 January 2016 |
Phonon-phonon interactions and phonon damping for the curvature modes in carbon nanotubes
1 Key Laboratory of Modern Acoustics and Department of Physics, Nanjing University - Nanjing 210093, China
2 Joint Center of Nuclear Science and Technology, Nanjing University - Nanjing 210093, China
3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator - Lanzhou 730000, China
(a) li.guolong@outlook.com
(b) zren@nju.edu.cn
Received: 14 September 2015
Accepted: 10 January 2016
We focus on the damping of the lowest-lying gapped modes with integer angular-momentum quantum number in carbon nanotubes (CNTs). These modes, called C modes simply, can be predicted within the framework of the continuum elasticity theory with the curvature term. Based on the phonon-phonon interactions due to the anharmonic effect, we obtain the three-phonon coupling coefficients of different damping processes of C modes. Applying perturbation theory, we calculate relaxation rates
and upper bounds of quality factors for the long-wavelength C modes. In addition, we display the wave vector dependence of
and show the importance of the C mode damping to thermal conductivity.
PACS: 63.20.kg – Phonon-phonon interactions / 62.25.-g – Mechanical properties of nanoscale systems / 65.80.-g – Thermal properties of small particles, nanocrystals, nanotubes, and other related systems
© EPLA, 2016
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