Superconductivity of quasi-one-dimensional electrons in strong magnetic field

Superconductivity of quasi-one-dimensional electrons in the magnetic field is studied. The system is described as one-dimensional electrons with no frustration due to the magnetic field. The interaction is assumed to be attractive between electrons in the nearest chains, which corresponds to the lines of nodes of the energy gap in the absence of the magnetic field. In the mean-field approximation, the effective interaction depends on the magnetic field and the transverse momentum. As the magnetic field becomes strong, the transition temperature of the spin-tripler superconductivity oscillates, while that of the spin-singlet increases monotonically. A possibility of the observation in the quasi-one-dimensional organic superconductors is discussed.