Quantum phases of dipolar bosons in a multilayer optical lattice

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