Effect of antiferromagnetic planes on the superconducting properties of multilayered high-Tc cuprates.

We propose a mechanism for high critical temperature (T(c)) in the coexistent phase of superconducting (SC) and antiferromagnetic (AFM) CuO2 planes in multilayered cuprates. The Josephson coupling between the SC planes separated by an AFM insulator (Mott insulator) is calculated perturbatively up to the fourth order in terms of the hopping integral between adjacent CuO2 planes. It is shown that the AFM exchange splitting in the AFM plane suppresses the so-called pi-Josephson coupling, and the long-ranged 0-Josephson coupling leads to coexistence with a rather high value of T(c).