On the ground-state properties of antiferromagnetic half-integer spin chains with long-range interactions
arXiv:cond-mat/0205408 · doi:10.1088/0305-4470/36/47/L01
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.
3 pages, RevTeX4