Abstract
We analyze how the magnetic disorder affects the properties of the two-band and models, which are subject of hot discussions regarding iron-based superconductors and other multiband systems like MgB. We show that there are several cases when the transition temperature is not fully suppressed by magnetic impurities in contrast to the Abrikosov-Gor'kov theory, but a saturation of takes place in the regime of strong disorder. These cases are: (1) the purely interband impurity scattering, (2) the unitary scattering limit. We show that in the former case the gap is preserved, while the state transforms into the state with increasing magnetic disorder. For the case (2), the gap structure remains intact.
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