The integrated s-wave and p-wave Cooper pairing in Uranium and Cerium based heavy fermion systems have been studied by analyzing the periodic Anderson model by means of the Bogoliubov-Valatin approach. The interorbital Cooper pairing between a conduction electron (c electron) and an f electron, called the “c-f pairing.” S-wave and p-wave superconductivity appears to coexist with long-range antiferromagnetic order. The ground state energy was found to be 0.02eV for the Cerium based compounds while that of Uranium based compounds was 0.033eV. The value of E decreases below the transition temperature and goes to zero at zero Kelvin and this is consistent with the nature of the super-fluid state. The total energy of the system increases with increase in temperature of the system. The entropy at TC was found as ~4×?10?^(-26) J/K and ~1×?10?^(-25) J/K for Uranium and cerium based compounds respectively. These results establish the fact that the pairing model in Uranium based heavy fermion superconductors is that of integrated s-wave and p-wave in the presence of finite Coulomb repulsion.
Heavy fermions, Transition temperature, superconductivity, entropy
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