Effects of density-induced hopping on tilted dipolar bosons in a square lattice

Motivated by recent experiments with ultracold magnetic atoms trapped in optical lattices where the orientation of atomic dipoles can be fully controlled by external fields, we study the ground state properties of dipolar bosons trapped in a two-dimensional lattice with density-induced hopping and where the dipoles are tilted along the xz plane. We present ground state phase diagrams of the above system at different tilt angles. We find that, as the dipolar interaction increases, the superfluid phase at half filling factor is destroyed in favor of either a checkerboard or stripe solid phase for tilt angle θ< 35.3^o or θ > 35.3^o respectively. More interesting physics happens at tilt angles θ>58^o where we find that, as the dipolar interaction strength increases, solid phases first appear at filling factor lower than 0.5. Moreover, unlike what observed at lower tilt angles, we find that, at half filling, the superfluid gives way to a stripe solid through a stripe supersolid phase.