Abstract
An inter-layer Cooper pairing mechanism is considered for layers of two-dimensional electrons which are coupled by the exchange of three-dimensional phonons.We propose that the high transition temperature of Ba-Y-Cu-O compound may originate from this mechanism because of the combined effects of the strong attraction due to phonon exchange and the substantially reduced Coulomb repulsion between paired electrons. Impurity effects and relative stability between the inter- and intra-layer Cooper pairings are discussed and a phase diagram is calculated.
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