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

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.

7pages Revtex

References in corpus (6)

• Exchange Operator Formalism for Integrable Systems of Particles
• Lattice Integrable Systems of Haldane-Shastry Type
• On Models with Inverse-Square Exchange
• Interacting Fermion Systems from Two Dimensional QCD
• Invariants of the Haldane-Shastry $SU(N)$ Chain
• Exact Solution of a One-Dimensional Multicomponent Lattice Gas with Hyperbolic Interaction

Cited by in corpus (1)

• Shortest paths on systems with power-law distributed long-range connections