Abstract
A method is proposed for constructing an exact ground-state wave function of a two-dimensional model with spin 1/2. The basis of the method is to represent the wave function by a product of fourth-rank spinors associated with the nodes of a lattice and the metric spinors corresponding to bonds between nearest neighbor nodes. The function so constructed is an exact wave function of a 14-parameter model. The special case of this model depending on one parameter is analyzed in detail. The ground state is always a nondegenerate singlet, and the spin correlation functions decay exponentially with distance. The method can be generalized for models with spin 1/2 to other types of lattices.
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Zh. Éksp. Teor. Fiz. 115, 249–267 (January 1999)
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Dmitriev, D.V., Krivnov, V.Y. & Ovchinnikov, A.A. Exactly solvable two-dimensional quantum spin models. J. Exp. Theor. Phys. 88, 138–147 (1999). https://doi.org/10.1134/1.558776
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DOI: https://doi.org/10.1134/1.558776