  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.
