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We analyze how the magnetic disorder affects the properties of the two-band$s_\pm$ and $s_{++}$ models, which are subject of hot discussions regardingiron-based superconductors and other multiband systems like MgB$_2$. We showthat there are several cases when the transition temperature $T_c$ is not fullysuppressed by magnetic impurities in contrast to the Abrikosov-Gor'kov theory,but a saturation of $T_c$ takes place in the regime of strong disorder. Thesecases are: (1) the purely interband impurity scattering, (2) the unitaryscattering limit. We show that in the former case the $s_\pm$ gap is preserved,while the $s_{++}$ state transforms into the $s_\pm$ state with increasingmagnetic disorder. For the case (2), the gap structure remains intact.

Unexpected impact of magnetic disorder on multiband superconductivity