S-wave Superconducting Model within the Finite Coulomb Regime in Cerium and Uranium Based Heavy Fermion Compounds.

We have studied the s-wave Cooper pairing in Uranium and Cerium based HF systems by analyzing the periodic Anderson model by means of the Bogoliubov-Valatin approach (BVT) focusing on the interorbital Cooper pairing between a conduction electron (c electron) and an f electron. The ground state energy (Eo) and entropy of this heavy superconductors have been determined. The total Energy decreases below transition temperature and goes to zero at zero Kelvin which is consistent with the nature of super-fluid state. Uranium based compounds show a system energy that is lower than that of Cerium based compounds both at low and high temperatures. Cerium based compounds show a low system energy at low temperatures and a higher one at higher temperatures which is in agreement with their atomic properties. The entropy for ceriumbased compounds is higher than that of Uraniumbased compounds.