Exact solution of Heisenberg-liquid models with long-range coupling
Yupeng Wang, P. Schlottmann
We present the exact solution of two Heisenberg-liquid models of particles with arbitrary spin S interacting via a hyperbolic long-range potential. In one model the spin-spin coupling has the simple antiferromagnetic Heisenberg exchange form, while for the other model the interaction is of the ferromagnetic Babujian-Takhatajan type. It is found that the Bethe ansatz equations of these models have a similar structure to that of the Babujian-Takhatajan spin chain. We also conjecture the integrability of a third spin-lattice model with long-range interaction.
arXiv:cond-mat/0103373•Physical review. B, Condensed matter•Mar 15, 2001•1 citation