Constructing soluble quantum spin models Original Research Article

By applying the bond operator method, we construct several soluble quantum spin models in two and three dimensions. We first generalize the spin-1/2 bond operators developed by Sachdev and Bhatt [Phys. Rev. B 41 (1990) 9323] to spin S⩾1. Then we study two and three-dimensional antiferromagnetic spin-S Heisenberg models and establish conditions on the couplings such that the completely dimerized state is an eigenstate of the model Hamiltonians.