Exact Solution of Heisenberg-liquid models with long-range coupling
Strongly Correlated Electrons
2009-11-07 v1
Abstract
We present the exact solution of two Heisenberg-liquid models of particles with arbitrary spin 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 new spin-lattice model with long-range interaction.
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Cite
@article{arxiv.cond-mat/0103373,
title = {Exact Solution of Heisenberg-liquid models with long-range coupling},
author = {Yupeng Wang and P. Schlottmann},
journal= {arXiv preprint arXiv:cond-mat/0103373},
year = {2009}
}
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7pages Revtex