Optical conductivity of carbon nanotubes

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The effect of electron–phonon interaction on the optical conductivity of semiconducting carbon nanotubes is studied. In this manner, the Kubo–Greenwood formula, Green's function technique and the Holstein Hamiltonian model are used. The optical conductivity of the system shows different behaviors between low and high frequency region. In the low frequency, the optical conductivity increases with electron–phonon coupling strength increasing while it has no noticeable change in the high frequency region. The results also show that the optical conductivity increases with increasing of nanotube's diameter.