Exactly solvable two-dimensional quantum spin models
Strongly Correlated Electrons
2009-10-31 v1
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 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.
Keywords
Cite
@article{arxiv.cond-mat/9911399,
title = {Exactly solvable two-dimensional quantum spin models},
author = {D. V. Dmitriev and V. Ya. Krivnov and A. A. Ovchinnikov},
journal= {arXiv preprint arXiv:cond-mat/9911399},
year = {2009}
}
Comments
15 pages, 9 figures, Revtex