Phonon-phonon interactions and phonon damping for the curvature modes in carbon nanotubes

Author： Li Guolong   Ren Zhongzhou  

Publisher： Edp Sciences

E-ISSN： 1286-4854|113|1|16002-16002

ISSN： 0295-5075

Source： EPL (EUROPHYSICS LETTERS), Vol.113, Iss.1, 2016-01, pp. : 16002-16002

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

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Abstract

We focus on the damping of the lowest-lying gapped modes with integer angular-momentum quantum number $|l|=2$ 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 $\tau_C^{-1}$ and upper bounds of quality factors for the long-wavelength C modes. In addition, we display the wave vector dependence of $\tau_C$ and show the importance of the C mode damping to thermal conductivity.

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