Ground states of 2D tilted dipolar bosons with density-induced hopping

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 $\theta \lesssim 35.3^{\circ}$ or $\theta \gtrsim 35.3^{\circ}$ respectively. More interesting physics happens at tilt angles $\theta \gtrsim 58^{\circ}$, 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, a stripe supersolid intervenes between the superfluid and stripe solid phase.