New Pairing State and Partial Destruction of Pairing in Antiferromagnetic Superconductors

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Abstract
A possibility of coexistence of antiferromagnetism and superconductivity is investigated theoretically. It is shown that a new superconducting pairing state is more stable than simple BCS pairing state under antiferromagnetic molecular field, which is similar to the Fulde-Ferrell state under ferromagnetic molecular field. We derive the critical value of this molecular field at which this new pairing state is completely quenched. Recent experiments on rare-earth ternary compounds of antiferromagnetic superconductors are interpreted in terms of this state.