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We propose a mechanism by which the paramagnetic pair-breaking effect islargely reduced in superconductors with coexisting antiferromagnetic long-range and short-range orders. The mechanism is an extension of the Jaccarinoand Peter mechanism to antiferromagnetic conductors, but the resultant phasediagram is quite different. In order to illustrate the mechanism, we examine amodel which consists of mobile electrons and antiferromagnetically correlatedlocalized spins with Kondo coupling between them. It is found that for weakKondo coupling, the superconductivity occurs over an extraordinarily wideregion of the magnetic field including zero field. The critical field exceedsthe Chandrasekhar and Clogston limit, but there is no lower limit in contrastto the Jaccarino and Peter mechanism. On the other hand, for strong Kondocoupling, both the low-field superconductivity and a field-inducedsuperconductivity occur. Possibilities in hybrid ruthenate cupratesuperconductors and some organic superconductors are discussed.Comment: 5 pages, 1 figure, revtex.sty, to be published in J.Phys.Soc.Jpn.  Vol.71, No.3 (2002

Enhancement of the Upper Critical Field and a Field-Induced Superconductivity in Antiferromagnetic Conductors