  We investigate the QCD phase diagram at zero chemical potential and finite
temperature in the presence of an external magnetic field within the three
flavor Polyakov-Nambu-Jona-Lasinio and entangled Polyakov-Nambu-Jona-Lasinio
models looking for the inverse magnetic catalysis. Two scenarios for a scalar
coupling parameter dependent on the magnetic field intensity are considered.
These dependencies of the coupling allow to reproduce qualitatively lattice QCD
results for the quark condensates and for the Polyakov loop: due to the
magnetic field the quark condensates are enhanced at low and high temperatures
and suppressed for temperatures close to the transition temperatures while the
Polyakov loop increases with the increasing of the magnetic field.
