Electrical and thermal conductivities of few-layer armchair graphene nanoribbons

The tight-binding Hamiltonian model and the Green's function formalism have been employed to calculate the temperature dependent electrical and electronic thermal conductivities of metal and few-layer armchair graphene nanoribbon semiconductors and the results were compared with the mono-layer system. It was observed that due to the overlapping of the nonhybridized p_z orbital perpendicular to the sheets, increasing the layers of the systems causes the conductivities of the layers to decrease. Also, these quantities are calculated for three different values of interlayer hopping of the nonhybridized p_z orbitals. The results show that in low temperatures, the electrical and thermal conductivities of the system increase when the interlayer hopping term is increased. However, by increasing the temperature, the curves representing electrical conductivities converge to the same value while thermal conductivity decreases. Graphical abstract:

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