  We analyze the transitions that a magnetic field provokes in the ground state
of an artificial homonuclear diatomic molecule. For that purpose, we have
performed numerical diagonalizations for a double quantum dot around the regime
of filling factor 2. We present phase diagrams in terms of tunneling and Zeeman
couplings, and confinement strength. We identify a series of transitions from
ferromagnetic to symmetric states through a set of canted states with
antiferromagnetic couping between the two quantum dots.
