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In order to explore why the multi-layered cuprates have such high Tc's, wehave examined various inter-layer processes. Since the inter-layer one-electronhopping has little effects on the band structure, we turn to the inter-layerpair hopping. The superconductivity in a double-layer Hubbard model with andwithout the inter-layer pair hopping, as studied by solving the Eliashbergequation with the fluctuation exchange approximation, reveals that theinter-layer pair hopping acts to increase the pairing interaction and theself-energy simultaneously, but that the former effect supersedes the latterand enhances the superconductivity. The inter-layer pair hopping consideredhere is for off-site pairs, for which we discuss the effect of retaining SU(2)symmetry, along with how the the sign of the pair hopping determines therelative configuration of d-waves between the adjacent layers.

Superconductivity assisted by inter-layer pair hopping in multi-layered cuprates