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).