Supersolid Order of Frustrated Hard-Core Bosons in a Triangular Lattice   System
  We numerically demonstrate that a supersolid phase exists in a frustrated hard-core boson system on a triangular lattice over a wide range of interaction strength. In the infinite repulsion (Ising) limit, we establish a mapping to the same problem with unfrustrated hopping, which connects the supersolid to the known results in that case. The weak superfluidity can be destroyed or strongly enhanced by a next nearest neighbor hopping term, which provides valuable information for experimental realization of a supersolid phase on optical lattice. 
H. C. Jiang, M. Q. Weng, Z. Y. Weng, D. N. Sheng, and L. Balents