Monte Carlo simulations of a system consisting of a ferromagnetic layer exc
hange coupled to a diluted antiferromagnetic layer described by a classical
spin model show a strong dependence of the exchange bias on the degree of
dilution in agreement with recent experimental observations on Co/CoO bilay
ers. These simulations reveal that diluting the antiferromagnet leads to th
e formation of domains in the volume of the antiferromagnet carrying a rema
nent surplus magnetization which causes and controls exchange bias. To furt
her support this domain state model for exchange bias we study, in the pres
ent article, the dependence of the bias field on the thickness of the antif
erromagnetic layer. It is shown that the bias field strongly increases with
increasing film thickness and eventually goes over a maximum before it lev
els out for large thicknesses. These findings are in full agreement with ex
periments. (C) 2001 American Institute of Physics.