  In this work I investigate a two-band Hubbard model using the Gutzwiller
wavefunction. The tight-binding part of the model was constructed to have a
gapless spin-density wave state which leads to Dirac points in the
bandstructure, a common feature of many iron-pnictide compounds. For quarter,
half and three-quarter fillings I show that the Hund's rule coupling has a
large impact on the metal-insulator transition in the paramagnetic phase. For
the half-filled model in the antiferromagnetic phase, the magnetism evolves in
a Stoner-like behavior and the size of the ordered moment is mainly determined
by the Hubbard interaction. As the Hund's coupling plays a minor role in this
state, the model does not describe a Hund's metal which is in contrast to more
realistic models for iron-pnictide compounds.
