Thermoelectric transport properties through a single-walled zig–zag carbon nanotube side coupled to a correlated quantum dot: Atomic approach for the finite U-impurity Anderson model

We study the thermopower S, linear thermal conductance κ, linear electric conductance G and thermoelectric figure of merit Z properties of a single-walled zig–zag carbon nanotube side coupled to a correlated quantum dot (QD). We employ the recently developed U-finite atomic approach for the Single Impurity Anderson model (SIAM). The quantum dot is linked to the localized states in the model, considering a finite Coulombic repulsion U, and the conduction band in the model is associated with the single walled zig–zag metallic carbon nanotube (n=3), and is described by a tight-binding approximation in order to obtain Green׳s function of the nanotube. The thermoelectric transport coefficients were obtained using the Keldysh non-equilibrium Green׳s function technique with the Onsager relation in the linear regime automatically satisfied. Results indicate that this system can be employed in possible thermoelectric device applications at low temperatures when strong charge fluctuations are present in the QD.