This paper describes a model for polycrystalline ferromagnet-antiferromagne
t bilayers. Independent antiferromagnetic grains are coupled to a ferromagn
etic film both by direct coupling to the net moments at the interfaces of t
he grains and by spin-flop coupling. Rotation of the ferromagnetic magnetiz
ation applies a torque to the antiferromagnetic spins at the interface of e
ach grain which winds up partial domain walls in the antiferromagnet. The m
odel explains both the unidirectional anisotropy that gives rise to the wel
l-known shifted hysteresis loops, and the hysteretic effects observed in ro
tational torque and ferromagnetic resonance experiments. The unidirectional
anisotropy comes from grains in which the antiferromagnetic order is stabl
e as the magnetization is rotated. The hysteretic effects come from grains
in which the antiferromagnetic order irreversibly switches as the domain wa
ll is wound up past a postulated critical angle. For all of the models cons
idered here, spin-flop coupling does not contribute to the unidirectional a
nisotropy. [S0163-1829(99)01305-3].