Exactly solvable two-dimensional quantum spin models

Details Exactly solvable two-dimensional quantum spin models Exactly solvable two-dimensional quantum spin models

1999-11-24

arxiv.org/abs/cond-mat/9911399v1

JETP 88, 138 (1999)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 9 figures, Revtex

Scientific paper

10.1134/1.558776

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 sites of a lattice and the metric spinors corresponding to bonds between nearest neighbor sites. 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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