  We consider a minimal model to investigate the quantum phases of hardcore,
polarized dipolar atoms confined in multilayer optical lattices. The model is a
variant of the extended Bose-Hubbard model, which incorporates intralayer
repulsion and interlayer attraction between the atoms in nearest-neighbour
sites. We study the phases of this model emerging from the competition between
the attractive interlayer interaction and the interlayer hopping. Our results
from the analytical and cluster-Gutzwiller mean-field theories reveal that
multimer formation occurs in the regime of weak intra and interlayer hopping
due to the attractive interaction. In addition, intralayer isotropic repulsive
interaction results in the checkerboard ordering of the multimers. This leads
to an incompressible checkerboard multimer phase at half-filling. At higher
interlayer hopping, the multimers are destabilized to form resonating
valence-bond like states. Furthermore, we discuss the effects of thermal
fluctuations on the quantum phases of the system.
