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We reformulate the Eliashberg's equation for the superconducting transitionwithin the quasi-particle description, which takes account of the heavyelectron mass. We discuss the superconductivity of CeIr_{x}Co_{1-x}In_5 byusing such a renormalized formula. On the basis of an effective two-dimensionalHubbard model which represents the most heavy quasi-two dimensional Fermisurface with f-character of CeIr_{x}Co_{1-x}In_5, both normal and anomalousself-energies are calculated up to third order with respect to the renormalizedon-site repulsion U between quasi-particles. The superconducting transitiontemperature is obtained by solving the Eliashberg's equation. Reasonabletransition temperatures are obtained for moderately large U. It is found thatthe momentum and frequency dependence of spin fluctuations given by RPA-liketerms gives rise to the d-wave pairing state, while the vertex correction termsare important for obtaining reasonable transition temperatures and fordifferentiating n-dependence of T_c. These obtained results seem to explain thex-dependence of T_c in CeIr_{x}Co_{1-x}In_5 and confirm the usefulness of theperturbation theory with respect to U.Comment: 21 page

Perturbation Theory on the Superconductivity of Heavy Fermion Superconductors CeIrxCo1-xIn5

Perturbation Theory on the Superconductivity of Heavy Fermion Superconductors CeIr_xCo_1-xIn₅