Integrable models of coupled Heisenberg chains

Abstract

We show that the solutions of the Yang--Baxter equation invariant under the action of the Yangian $Y(s{l}_2)$ lead to inhomogenous vertex models. Starting from a four dimensional representation of $Y(s{l}_2)$ we obtain an integrable family of coupled Heisenberg spin-$\frac{1}{2}$ chains. Some thermodynamical properties of this model are studied by means of the algebraic Bethe Ansatz.

10 pages, latex, 5 postscript figures

References in corpus (3)

• Spin-ladders with spin gaps: A description of a class of cuprates
• Thermodynamics of Integrable Chains with Alternating Spins
• Critical Behaviour of integrable mixed spins chains

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