# The effect of a Chern-Simons term on dynamical gap generation in graphene

## TL;DR

This paper investigates how a Chern-Simons term influences the dynamical generation of an energy gap in graphene, revealing that increasing the Chern-Simons coefficient suppresses the gap and raises the critical coupling needed for gap formation.

## Contribution

It introduces a non-perturbative Schwinger-Dyson analysis of the impact of a Chern-Simons term on gap generation in graphene, highlighting its suppressive effect.

## Key findings

- Chern-Simons term suppresses dynamical gap formation
- Critical coupling increases with Chern-Simons coefficient
- Strong suppression of the gap observed

## Abstract

We study the effect of a Chern-Simons term on dynamical gap generation in a low energy effective theory that describes some features of mono-layer suspended graphene. We use a non-perturbative Schwinger-Dyson approach. We solve a set of coupled integral equations for eight independent dressing functions that describe fermion and photon degrees of freedom. We find a strong suppression of the gap, and corresponding increase in the critical coupling, as a function of increasing Chern-Simons coefficient.