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Transition-metal oxides are one of the most typical systems where the effect of Coulomb interaction plays a critical role on their magnetic and electronic properties. Especially interesting is what is expected when electrons localized due to the strong Coulomb repulsion start moving by changing the bandwidth or the number of carriers. We anticipate there an unknown, dramatic phenomenon governed by quantum fluctuations. One of the topics we study now is a quantum spin lattice based on a triangular geometry where magnetic frustration tends to suppress ordinary long-range order and may lead to an unusual spin liquid ground state. Recently, we found superconductivity for the first time in the pyrochlore oxides Cd2Re2O7 and AOs2O6 (A = K, Rb, Cs) which crystallize in such a three-dimensionally frustrated lattice. |