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We study an impurity Anderson model to describe an iron phthalocyanine (FePc)molecule on Au(111), motivated by previous results of scanning tunnelingspectroscopy (STS) and theoretical studies. The model hybridizes a spin doubletconsisting in one hole at the $3d_{z^2}$ orbital of iron and two degeneratedoublets corresponding to one hole either in the $3d_{xz}$ or in the $3d_{yz}$orbital (called $\pi$ orbitals) with two degenerate Hund-rule triplets with onehole in the $3d_{z}$ orbital and another one in a $\pi$ orbital. We solve themodel using a slave-boson mean-field approximation (SBMFA). For reasonableparameters we can describe very well the observed STS spectrum between samplebias -60 mV to 20 mV. For these parameters the Kondo stage takes place in twostages, with different energy scales $T_K^z > T_K^\pi$ corresponding to theKondo temperatures related with the hopping of the $z^2$ and $\pi$ orbitalsrespectively. There is a strong interference between the different channels andthe Kondo temperatures, particularly the lowest one is strongly reducedcompared with the value in the absence of the competing channel.

Two-stage three-channel Kondo physics for an FePc molecule on the Au(111) surface