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

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

2001-03-19

arxiv.org/abs/cond-mat/0103373v1

Phys. Rev. B 63, 134437 (2001), Mar. 15 issue

Physics

Condensed Matter

Strongly Correlated Electrons

7pages Revtex

Scientific paper

10.1103/PhysRevB.63.134437

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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