  We report on the first observation of magnetic catalysis at zero temperature
in a fully nonperturbative simulation of the graphene effective field theory.
Using lattice gauge theory, a nonperturbative analysis of the theory of
strongly-interacting, massless, (2+1)-dimensional Dirac fermions in the
presence of an external magnetic field is performed. We show that in the
zero-temperature limit, a nonzero value for the chiral condensate is obtained
which signals the spontaneous breaking of chiral symmetry. This result implies
a nonzero value for the dynamical mass of the Dirac quasiparticle. This in turn
has been posited to account for the quantum-Hall plateaus that are observed at
large magnetic fields.
