Reply to "Comment on 'Isotope effect in multi-band and multi-channel attractive systems and inverse isotope effect in iron-based superconductors'"

Abstract

The Comment insists on the following: in our model it is assumed that the effective interactions have specific energy ranges within the single band with a cutoff at ω_1 for the phononic part and a range from ω_1 to ω_2 in the AF channel. Our reply is that we assume that V_i(k,k')\neq 0 if |ξ_k|<ω_i and |ξ_{k'}|<ω_i, and otherwise V_i(k,k')= 0 (i=1,2), as stated in our paper. This is the model of BCS type with two attractive interactions, and this assumption is the characteristic of the BCS approximation. The claim "the integration limits have been modified such that the AF channel mediated pairing sets in where the ph-channel pairing terminates and is limited at an energy given by ω_j=ω_{AF}" in the Comment is wrong. We describe the model and the method to solve the gap equation in more detail.