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Exact Solution of Heisenberg-liquid models with long-range coupling

Yupeng Wang·P. Schlottmann
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Abstract

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 new spin-lattice model with long-range interaction.

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Yupeng Wang, P. Schlottmann. 2001-03-19. Exact Solution of Heisenberg-liquid models with long-range coupling. https://doi.org/10.1103/physrevb.63.134437

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