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Josephson Effect in Magnetic Superconductors. I. Formulation

The equations which describe the magnetic field, the persistent current and the energy in two magnetic superconductors joined together by an infinite junction were derived in the temperature region between the superconducting- and magnetic-phase-transition temperatures by means of the boson theory. The magnetic field distribution in the system was numerically estimated for a simple case. The magnetic field induced by the persistent current crossing the junction and the persistent current along the junction, and the spin magnetization magnetized by this field were calculated. The total magnetic flux in the range of one period along the junction which is the sum of spin magnetization and persistent current contribution is quantized. As a result, the current inversion was found to occur in the portion away from the junction.