Theory of phonon-assisted adsorption in graphene: Many-body infrared dynamics

We devise a theory of adsorption of low-energy atoms on suspended graphene membranes maintained at low temperature based on a model of atom-acoustic phonon interactions. Our primary technique includes a nonperturbative method which treats the dynamics of the multiple phonons in an exact manner within the purview of the independent boson model. We present a study on the effects of the phonons assisting the renormalization as well as decay of the incident atom propagator and discuss results for the many-body adsorption rates for atomic hydrogen on graphene micromembranes. Additionally, we report similarities of this model with other branches of quantum field theories that include long-range interactions like quantum electrodynamics and perturbative gravity.