# Theory of Phonon-Assisted Adsorption in Graphene: Many-Body Infrared Dynamics

## TL;DR

This paper develops a non-perturbative theoretical model for low-energy atom adsorption on suspended graphene at 10 K, focusing on phonon-assisted processes and many-body dynamics, with implications for quantum field theories.

## Contribution

It introduces an exact non-perturbative approach to study phonon-assisted atom adsorption on graphene, linking many-body dynamics with quantum field theory analogies.

## Key findings

- Calculated many-body adsorption rates for atomic hydrogen on graphene.
- Identified phonon effects on atom propagator renormalization and decay.
- Drawn parallels between the model and quantum electrodynamics and gravity theories.

## Abstract

We devise a theory of adsorption of low-energy atoms on suspended graphene membranes maintained at 10 K based on a model of atom-acoustic phonon interactions. Our primary technique includes a non-perturbative 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 (QED) and perturbative gravity.