The role of electron–phonon interaction on the transport properties of graphene based nano-devices

Transport through a nano-device in the presence of electron–phonon interaction has been studied by using unitary-transformation scheme together with the non-equilibrium Green׳s function formalism. The non-interacting Hamiltonian is written within the tight binding model and left/right electrodes are described in wide-band approximation. The interaction between electrons is studied in the mean-field Hubbard model. Our results indicate that both phonon-restricted and phonon-assisted transport through two different configurations of graphene quantum dot occur. Also, the electron–phonon interaction screens the electron–electron interaction, and reduces the spin polarization.