  Understanding magnetism in multiple magnetic sublattice system, driven by the
interplay of varied nature of magnetic exchanges, is on one hand challenging
and on other hand intriguing. Motivated by the recent synthesis of AA'BB'O_6
double double perovskites with multiple magnetic ions both at A- and B-sites,
we investigate the mechanism of magnetic behavior in these interesting class of
compounds. We find that the magnetism in such multiple sublattice compounds is
governed by the interplay and delicate balance between two distinct mechanisms,
a) kinetic energy-driven multiple sublattice double exchange mechanism and b)
the conventional super-exchange mechanism. The derived spin Hamiltonian based
on first-principles calculations is solved by the classical Monte Carlo
technique which reproduces the observed magnetic properties. Finally, the
influence of off-stoichiometry, as in experimental samples, is discussed. Some
of these double double perovskite compounds are found to possess large total
magnetic moment and also are found to be half-metallic, which raises the hope
of future applications of these large magnetic moment half-metallic oxides in
spintronics and memory devices.
