Abstract
Presented here in the framework of the generalized BCS equations—which are based on multiple phonon exchanges for the formation of Cooper pairs (CPs)—is continuation of a study carried out earlier for MgB 2 Nb 3 Sn and YBCO. Addressed now are the principal members of the Tl- and Bi-based high-T c superconductors. For any of these, with the input of any two parameters from the set {critical temperature, two gaps}, and the Debye temperature, it is shown that one can calculate the remaining parameter. This is similar to what normal BCS equations achieve for a simple superconductor. Further, we show that these equations lead to upper bounds on the gap- and the T c -values of a HTSC, beyond which one must invoke 2/3-phonon mechanism for the formation of CPs. Our considerations suggest the interesting possibility that senior members of the said families of cuprates may be three-gap SCs.
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