Emergence of a Dimer-Dimer Interaction in the Low-Energy Effective Quantum-Dimer Model of a Diamond-Like-Decorated Square-Lattice Heisenberg Antiferromagnets with Further Neighbor Couplings

摘要

We study spin-1/2 Heisenberg antiferromagnets on a diamond-like-decoratedsquare lattice perturbed by two kinds of further neighbor couplings. In ourprevious study [J. Phys. Soc. Jpn. 85, 094002 (2016)], the second-ordereffective Hamiltonian for the Heisenberg model perturbed by a further neighborcoupling was found to be a square-lattice quantum-dimer model with a finitehopping amplitude, t>0, and no dimer-dimer interaction, v=0. In this study, weintroduce another kind of further neighbor coupling and show that it leads toan attractive interaction between dimers, which suggests the stabilization ofthe columnar phase of the square-lattice quantum-dimer model. The calculatedv/t is presented as a function of the ratio of the two exchange parameters inthe Heisenberg model.