  We theoretically study the magnetic properties of pyrochlore iridate bilayer
and trilayer thin films grown along the $[111]$ direction using a strong
coupling approach. We find the ground state magnetic configurations on a mean
field level and carry out a spin-wave analysis about them. In the trilayer case
the ground state is found to be the all-in-all-out (AIAO) state, whereas the
bilayer has a deformed AIAO state. For all parameters of the spin-orbit coupled
Hamiltonian we study, the lowest magnon band in the trilayer case has a nonzero
Chern number. In the bilayer case we also find a parameter range with nonzero
Chern numbers. We calculate the magnon Hall response for both geometries,
finding a striking sign change as function of temperature. Using a slave-boson
mean-field theory we study the doping of the trilayer system and discover an
unconventional time-reversal symmetry broken $d+id$ superconducting state. Our
study complements prior work in the weak coupling limit and suggests that the
$[111]$ grown thin film pyrochlore iridates are a promising candidate for
topological properties and unconventional orders.
