Exact Realization of a Quantum-Dimer Model in Heisenberg   Antiferromagnets on a Diamond-Like Decorated Lattice
  We study Heisenberg antiferromagnets on a diamond-like decorated square lattice perturbed by further neighbor couplings. The second-order effective Hamiltonian is calculated and the resultant Hamiltonian is found to be a square-lattice quantum-dimer model with a finite hopping amplitude and no repulsion, which suggests the stabilization of the plaquette phase. Our recipe for constructing quantum-dimer models can be adopted for other lattices and provides a route for the experimental realization of quantum-dimer models. 
Yuhei Hirose, Akihide Oguchi, and Yoshiyuki Fukumoto
cond-mat.stat-mech cond-mat.str-el