C. Trefzger, M. Alloing, C. Menotti, F. Dubin, M. Lewenstein
New Journal of Physics 12, 093008 (2010)
We study a gas of dipolar Bosons confined in a two-dimensional optical lattice. Dipoles are considered to point freely in both up and down directions perpendicular to the lattice plane. This results in a nearest neighbor repulsive (attractive) interaction for aligned (anti-aligned) dipoles. We find regions of parameters where the ground state of the system exhibits insulating phases with either ferromagnetic or anti-ferromagnetic ordering. Evidences for the existence of a novel counterflow supersolid quantum phase are also presented.