Strong-coupling theories for superconductors containing local spin fluctuations

Theories for isotropic and anisotropic superconductors containing transition-metal impurities which give rise to local spin fluctuations are developed by use of the Migdal-Eliashberg formalism. The multiplicative renormalization method is used to obtain the normal and anomalous d-electron propagators. The decreases in the transition temperatures of the isotropic and anisotropic superconductors due to the local spin fluctuations are obtained within the framework of the square-well-model version of the Midgal-Eliashberg formalism. Different approaches are used to obtain the decreases for the two cases. The effects of the local spin fluctuations on the jump in the specific heat at T/sub c/ of the strong-coupling anisotropic superconductors are also calculated