Exact ground states for a class of one-dimensional frustrated quantum spin models
Strongly Correlated Electrons
2009-10-31 v1
Abstract
We have found the exact ground state for two frustrated quantum spin-1/2 models on a linear chain. The first model describes ferromagnet- antiferromagnet transition point. The singlet state at this point has double-spiral ordering. The second model is equivalent to special case of the spin-1/2 ladder. It has non-degenerate singlet ground state with exponentially decaying spin correlations and there is an energy gap. The exact ground state wave function of these models is presented in a special recurrent form and recurrence technics of expectation value calculations is developed.
Keywords
Cite
@article{arxiv.cond-mat/9912010,
title = {Exact ground states for a class of one-dimensional frustrated quantum spin models},
author = {D. V. Dmitriev and V. Ya. Krivnov and A. A. Ovchinnikov},
journal= {arXiv preprint arXiv:cond-mat/9912010},
year = {2009}
}
Comments
16 pages, 3 figures, RevTeX