  We study diluted antiferromagnetic Ising models on triangular and kagome
lattices in a magnetic field, using the replica-exchange Monte Carlo method. We
observe seven and five plateaus in the magnetization curve of the diluted
antiferromagnetic Ising model on the triangular and kagome lattices,
respectively, when a magnetic field is applied. These observations contrast
with the two plateaus observed in the pure model. The origin of multiple
plateaus is investigated by considering the spin configuration of triangles in
the diluted models. We compare these results with those of a diluted
antiferromagnetic Ising model on the three-dimensional pyrochlore lattice in a
magnetic field pointing in the [111] direction, sometimes referred to as the
"kagome-ice" problem. We discuss the similarity and dissimilarity of the
magnetization curves of the "kagome-ice" state and the two-dimensional kagome
lattice.
