Abstract
There is a widely shared consensus that the pair condensate wavefunction in cuprate superconductors has a dominant d x 2− y 2 symmetry. In this paper a group theoretical analysis of the pair condensate wavefunction in real space for cuprate superconductors is presented. The analysis indicates that there is a degenerate pair of active bands in cuprate superconductors which are principally derived from localized e-orbitals and two possible singlet pair states formed from two different orbitals with symmetries a 1, b 1 or a 2, b 2 and all three may contribute to the condensate wavefunction. Hund's rule and the experimental observation that singlet pairing with a short coherence length occurs in cuprate superconductors, indicates that the first option is the most likely candidate in these materials and that hole doping mainly occurs from 1 B 1 pairs of e-orbitals giving rise to singlet electron pairing and the phenomenon of high T c cuprate superconductivity.
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