The role of self-heating and hot-phonons in metallic single walled   carbon nanotubes
  The role of self-heating and hot-phonons on electronic transport in metallic single walled carbon nanotube is examined by solving a coupled electron-optical phonon (OP) Boltzmann transport equation and the classical heat equation. We find that self-heating reduces the high bias conductance, thus explaining the short OP mean free paths observed experimentally, while the non-equilibrium OP population reduces the overall current level. Comparison with experimental data shows that for tubes on a substrate, no significant population of hot phonons builds up under the normal range of applied bias. These results shed light on OP phonon decay paths in carbon nanotubes. 
Sayed Hasan, Ashraf Alam, Mark Lundstrom