Abstract
The effect of magnetic fluctuations on the critical behaviour of unconventional ferromagnetic superconductors (UGe2, URhGe, etc.) and superfluids is investigated by the renormalization group method. For the case of isotropic ferromagnetic order a new unusual critical behaviour is predicted. It is also shown that the uniaxial and bi-axial magnetic symmetries produce fluctuation-driven phase transitions of first order. The results can be used in interpretations of experimental data and for a further development of the theory of critical phenomena in complex systems.
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