Role of interactions in the energy of the spin resonance peak in Fe-based superconductors

We consider the spin response within the five-orbital model for iron-based superconductors and study two cases: equal and unequal gaps in different bands. In the first case, the spin resonance peak in the superconducting state appears below the characteristic energy scale determined by the gap magnitude, $2{\mathrm{\Delta }}_L$. In the second case, the energy scale corresponds to the sum of smaller and larger gap magnitudes, ${\mathrm{\Delta }}_L+{\mathrm{\Delta }}_S$. Increasing the values of the Hubbard interaction and the Hund’s exchange, we observe a shift of the spin resonance energy to lower frequencies.