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Based on a microscopic theoretical study, we show that novelsuperconductivity is induced by carrier doping in layered perovskite Ir oxideswhere a strong spin-orbit coupling causes an effective total angular momentumJ_{eff}=1/2 Mott insulator. Using a variational Monte Carlo method, we find anunconventional superconducting state in the ground state phase diagram of at_{2g} three-orbital Hubbard model on the square lattice. This superconductingstate is characterized by a d_{x^2-y^2}-wave "pseudospin singlet" formed by theJ_{eff}=1/2 Kramers doublet, which thus contains inter-orbital as well as bothsinglet and triplet components of t_{2g} electrons. The superconducting stateis found stable only by electron doping, but not by hole doping, for the caseof carrier doped Sr_2IrO_4. We also study an effective single-orbital Hubbardmodel to discuss the similarities to high-T_c cuprate superconductors and themulti-orbital effects.

Monte Carlo study of an unconventional superconducting phase in Ir-oxide J_{eff}=1/2 Mott insulators induced by carrier doping