Thermal conductance for single wall carbon nanotubes

We report a theoretical analysis of the phonon thermal conductance, $\kappa (T)$, for single wall carbon nanotubes (SWCN). In a range of low temperatues up to 100 K, $\kappa (T)$ of perfect SWCN is found to increase with temperature, approximately, in a parabolic fashion. This is qualitatively consistent with recent experimental measurements where the tube-tube interactions are negligibly weak. When the carbon-carbon bond length is slightly varied, $\kappa (T)$ is found to be qualitatively unaltered which implies that the anharmonic effect does not change the qualitative behavior of $\kappa (T)$