Study of electronic transmission coefficient of a benzene molecule in the presence of Hubbard interaction

In this paper, we calculate the electronic transmission coefficient of a benzene ring connected to two metallic leads via the para and meta contacts in the presence of electron-electron interaction (Hubbard model). For this purpose, we use the Green’s function technique and the nearest neighbor tight-binding approach. Then, we obtain the electronic conductance as a function of energy by a numerical self-consistent method due to the shape of interaction. The result show that in the presence of the electron-electron interaction, the positions of peaks, dips and Fano resonances which are appeared in the conductance spectra will be shifted. Moreover, the value of the conductance at zero energy strongly depends on variation of the Hubbard parameter value; which leads to the metal-insulator transition in the meta case. Considering of the electron - electron interaction within the self-consistent approach gives a realistic viewpoint with respect to the models in which this interaction is considered by the mean field approximation.