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We investigate the electronic states of a one-dimensional two-orbital Hubbardmodel with band splitting by the exact diagonalization method. The Luttingerliquid parameter $K_{\rho}$ is calculated to obtain superconducting (SC) phasediagram as a function of on-site interactions: the intra- and inter-orbitalCoulomb $U$ and $U'$, the Hund coupling $J$, and the pair transfer $J'$. Inthis model, electron and hole Fermi pockets are produced when the Fermi levelcrosses both the upper and lower orbital bands. We find that the system showstwo types of SC phases, the SC \Roman{u'-large} for $U>U'$ and the SC\Roman{u-large} for $U<U'$, in the wide parameter region including both weakand strong correlation regimes. Pairing correlation functions indicate that themost dominant pairing for the SC \Roman{u'-large} (SC \Roman{u-large}) is theintersite (on-site) intraorbital spin-singlet with (without) sign reversal ofthe order parameters between two Fermi pockets. The result of the SC\Roman{u'-large} is consistent with the sign-reversing s-wave pairing that hasrecently been proposed for iron oxypnictide superconductors.

Superconductivity in a Two-Orbital Hubbard Model with Electron and Hole Fermi Pockets: Application in Iron Oxypnictide Superconductors