The phase transition temperature T c and the specific heat discontinuity δC of a superconductor containing Kondo impurities are expressed self-consistently in terms of the t-matrix for Kondo scattering, which has been calculated within the Tomonaga approximation, thereby taking care of the infrared singularities. The approximation contains the Abrikosov-Gor'kov theory and the exact result for the classical spin as limiting cases. The initial slopes of T c and δC as a function of antiferromagnetic exchange coupling have a maximum, and the zero-temperature transition concentration has a minimum, showing that the impurity undergoes a magnetic-nonmagnetic transition when the coupling is increased. This agrees with previous results for the impurity spin susceptibility. The condition for a reentrant phase boundary is discussed in connection with its implications for the specific heat jump. The results are compared quantitatively with experimental data for LaAl2 containing Ce and Gd impurities and qualitatively with recent data for the (La 1-x Th x )Ce system.
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Schlottmann, P. On properties of superconducting alloys containing Kondo impurities. J Low Temp Phys 20, 123–154 (1975). https://doi.org/10.1007/BF00115260
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DOI: https://doi.org/10.1007/BF00115260