High-Tc superconductivity via superpropagators revisited

We revisit our earlier paper because it was perceived in some quarters to be based on a formulation that took into account the electron-pairs (e-pairs), but not the hole-pairs (h-pairs). Through a more comprehensive study of the basic equation on which our earlier work was based, we present here temperature-generalized equations for the Bethe-Salpeter amplitudes for Cooper pairs (CPs) of the (e-e), (h-h), and (e-h/h-e) varieties (our earlier paper seemed to deal with only the first category of pairs). We then show that solution of the (e-e) or the (h-h) equation, at T = 0, yields a pair of pure imaginary binding energies (W); this result is in agreement with the one obtained long ago by Thouless, by Abrikosov et al., by Schrieffer, and others, and signifies that both the e-pairs and the h-pairs have been taken into account in our work. A salient feature of our approach is that it determines the all-important Tc and Hc in the limit of vanishing W whereas, in the BCS theory, Tc is obtained in the limit gap → 0, and Hc is determined via the condensation energy of the CPs.