Reply to "Comment on `Theory of Phonon-Assisted Adsorption in Graphene: Many-Body Infrared Dynamics' "

Based on a new self-energy for atom-phonon interaction, preceding Comment argues about the insufficiency of the mathematical techniques within the Independent Boson Model (IBM) to study physisorption in graphene membranes. In this Reply, we show that the new self-energy reported in the Comment is a perturbative expansion approximated for a 2-phonon process, severely divergent for membrane sizes larger than 100 nm and within its current mathematical form, ill-suited for investigating the physics of physisorption in graphene micromembranes. Additionally, we provide with further evidence of the adsorption rate within the IBM that further reinforces the physical soundness of the mathematical techniques reported in Phys. Rev. B 100, 075429 (2019).