The Effects of Next-to-Nearest Neighbor Hopping Amplitude on Electrical Properties of Graphene Like Nanotube Structure

Abstract

We have addressed density of states and electrical conductivity of doped graphene like nanotubes for both zigzag and armchair types in the context of tight binding model hamiltonian. The effects of next nearest neighbor hopping amplitude for electrons and gap parameter on electronic density of states and electrical conductivity have been investigated. Green’s function approach has been implemented to find the behavior of electrical conductivity of nanotube within linear response theory. We have found the temperature dependence of electrical conductivity for different values of gap parameter and tube diameter in the presence of neat nearest neighbor hopping integral. The results of electrical conductivity show the increase of diameter leads to increase the conductivity of both zigzag and armchair nanotubes. However the increase of chemical potential reduces the conductivity of armchair nanotube. In the presence of next-to-nearest neighbor hopping amplitude, the density of states results of nanotubes loses its symmetry with respect to energy.