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A new critical behavior in unconventional superconductors and superfluids isestablished and described by the Wilson-Fisher renormalization-group method.For certain symmetries of order a new type of fluctuation-driven first orderphase transitions at finite and zero temperature are predicted. The results canbe applied to a wide class of ferromagnetic superconductive and superfluidsystems, in particular, to itinerant ferromagnets as UGe_2 and URhGe.Comment: 10 pages, 3 figures; minor style changes, title chang

New magnetic effects on the phase transitions in unconventional superconductors