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Abstract: The review of recent developments in the unconventional superconductivitytheory is given. In the fist part I consider the physical origin of the Kerrrotation polarization of light reflected from the surface of superconducting$Sr 2RuO 4$. Then the comparison of magneto-optical responses insuperconductors with orbital and spin spontaneous magnetization is presented.The latter result is applied to the estimation of the magneto-opticalproperties of neutral superfluids with spontaneous magnetization. The secondpart is devoted to the natural optical activity or gyrotropy properties ofnoncentrosymmetric metals in their normal and superconducting states. Thetemperature behavior of the gyrotropy coefficient is compared with thetemperature behavior of paramagnetic susceptibility determining the noticeableincrease of the paramagnetic limiting field in noncentrosymmetricsuperconductors. In the last chapter I describe the order parameter and thesymmetry of superconducting state in the itinerant ferromagnet withorthorhombic symmetry. Finally the Josephson coupling between two adjacentferromagnet superconducting domains is discussed.

Autor: V.P.Mineev


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