Stable dilute supersolid of two-dimensional dipolar bosons
  We consider two-dimensional bosonic dipoles oriented perpendicularly to the plane. On top of the usual two-body contact and long-range dipolar interactions we add a contact three-body repulsion as expected, in particular, for dipoles in the bilayer geometry with tunneling. The three-body repulsion is crucial for stabilizing the system, and we show that our model allows for stable continuous space supersolid states in the dilute regime and calculate the zero-temperature phase diagram. 
Zhen-Kai Lu, Yun Li, D. S. Petrov, G. V. Shlyapnikov
cond-mat.quant-gas cond-mat.other quant-ph