The role of electron-phonon interaction on the electronic property of metallic zigzag and armchair carbon nano tubes

We have investigated metal–insulator transition due to electron–phonon interaction for metallic carbon nanotubes in the context of Holstein model Hamiltonian. Self-consistent second order perturbation theory has been implemented to find the electronic self-energy. The results show that the increase of electron–phonon strength leads to the appearance band of gap in the electronic density of states. Furthermore, the effect of temperature on the interacting density of states has been studied. To be more explicit, quasi one particle weight and relaxation time have been investigated due to the increase of electron–phonon coupling strength.