On the ground-state properties of antiferromagnetic half-integer spin chains with long-range interactions
Condensed Matter
2009-11-07 v3
Abstract
The Lieb-Shultz-Mattis theorem is extended to Heisenberg chains with long-range interactions. We prove that the half-integer spin chain has no gap, if it possesses unique ground state and the exchange decays faster than the inverse-square of distance between spins. The results can be extended to a wide class of one-dimensional models.
Cite
@article{arxiv.cond-mat/0205408,
title = {On the ground-state properties of antiferromagnetic half-integer spin chains with long-range interactions},
author = {Tigran Hakobyan},
journal= {arXiv preprint arXiv:cond-mat/0205408},
year = {2009}
}
Comments
3 pages, RevTeX4