  We investigate the Gross-Neveu model in $2+1$ dimensions in a constant and
homogeneous magnetic field using one reducible flavor of overlap fermions. Our
lattice simulations suggest that the magnetic catalysis phenomenon, i.e., an
increase of the chiral condensate with the magnetic field, is present for all
temperatures below the chiral phase transition, in accordance with predictions
from mean-field and beyond-mean-field calculations.
