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We propose a phase diagram of quasi-low-dimensional type II superconductorsin parallel magnetic fields, when antiferromagnetic fluctuations contribute tothe pairing interactions. We point out that pairing interactions mediated byantiferromagnetic fluctuations necessarily include both singlet channels andtriplet channels as attractive interactions. Usually, a singlet pairing isfavored at zero field, but a triplet pairing occurs at high fields where thesinglet pairing is suppressed by the Pauli paramagnetic pair-breaking effect.As a result, the critical field increases divergently at low temperatures. Apossible relation to experimental phase diagrams of a quasi-one-dimensionalorganic superconductor is briefly discussed. We also discuss a possibility thata triplet superconductivity is observed even at zero field.Comment: 4 pages, 1 figure (Latex, revtex.sty, epsf.sty

Coexistence of Singlet and Triplet Attractive Channels in the Pairing Interactions Mediated by Antiferromagnetic Fluctuations