  The phenomenon of magnetization plateaus in antiferromagnets under magnetic
field has always been an important topic in magnetism. We propose to probe the
elusive physics of plateaus in 2-d by considering hole-doped antiferromagnet
and studying the signatures of magnetization plateaus in terms of the
properties of holes, coupled to an effective gauge field generated by the spin
sector. The latter mediates interaction between the holes, found to be
algebraically decaying long-ranged with both Coulombic and dipolar forms
outside plateau and short-ranged (local) inside plateau. The resulting hole
spectral weight is significantly broadened off-plateau, while it remains
sharply-peaked on-plateau. We also extend the result obtained for 1-d system
where finite hole doping gives rise to a shift in the magnetization value of
the plateaus.
