  A gauged Dirac-Weyl equation in (2+1)-dimension is considered. This equation
has the particularity to describe the states of a graphene Dirac matter. In
particular we are interested in matter interacting with a Chern-Simons gauge
fields. We show that exact self-dual solutions are admitted. These solutions
are the same as those supported by nonrelativistic matter interacting with a
Chern-Simons gauge field.
