Possible enhancement of transition temperature due to magnetic impurities with internal structure in a superconductor

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Superconductivity is one of central issues in progress of science technology. We investigate additional degrees of freedom such as orbital that differ from magnetic degrees of freedom, which are relevant to stability conditions of higher temperature superconductors. In a multiband case, for increase of the transition temperature of superconductivity, we focus on(1) relative signs of order parameters in superconducting bands and(2) multipole(orbital moment) types of magnetic impurities coupled to band electrons. This result gives a new concept for the study of superconductivity and magnetism.