Volume 113, Number 1, January 2016
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|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
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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