Abstract

Using the numerical diagonalization method, we investigate superconductivity and relatedferromagnetism in the one-dimensional two-orbital Hubbard model with a finite band splitting atless than half filling. We obtain a superconducting (SC) region with the Luttinger liquid parameterKρ>1 and confirm anomalous flux quantization in the SC state. It is found that the SC phaseappears near the partially polarized ferromagnetic phase. We also calculate various pairingcorrelation functions to clarify the nature of the SC phase. Detailed analysis of thesefunctions indicates that the triplet pairing between the nearest neighbour sites is relevantto the superconductivity. This suggests that ferromagnetic fluctuation plays an importantrole for the superconductivity.

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