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We study the superconductivity in the three-dimensional multiband d-p model,in which a Cu$_2$O$_3$-ladder layer and a CuO$_2$-chain layer are alternatelystacked, as a model of the superconducting spin-chain ladder cuprate.$p_z$-Wave-like triplet superconductivity is found to be the most stable, andits dependence on interlayer coupling can explain the superconductingtransition temperature dependence on pressure in real superconductingspin-chain ladder cuprates. The superconductivity may be enhanced if holetransfer from the chain layer to the ladder layer can be promoted beyond thetypical transfer rate.

Three-Dimensional Multiband d-p Model of Superconductivity in Spin-Chain Ladder Cuprate