  The magnetic phase diagram of a plaquette dimerized antiferromagnetic system
is studied by using a combination of numerical and analytical techniques. For
the strongly frustrated regime, series expansions and bond operators techniques
are employed to analyze zero magnetization plateau, whereas low energy
effective models are used to study the complete magnetization process. The
interplay between frustration and dimerization gives rise to a rich plateaus
structure that is captured by effective models and corroborated by numerical
density matrix renormalization group simulations, in particular the emergence
of intermediate plateaus at M = 1/4 and 3/4 of saturation in the magnetization
curve.
