  The phase diagram of localization is numerically calculated for a
three-dimensional disordered system in the presence of a magnetic field using
the Peierls substitution. The mobility edge trajectory shifts in the
energy-disorder space when increasing the field. In the band center, localized
states near the phase boundary become delocalized. The obtained field
dependence of the critical disorder is in agreement with a power law behavior
expected from scaling theory. Close to the tail of the band the magnetic field
causes localization of extended states.
