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Integrable models of coupled Heisenberg chains

Holger Frahm·Claus R"odenbeck
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Abstract

We show that the solutions of the Yang--Baxter equation invariant under the action of the Yangian $Y(sl_2)$ lead to inhomogenous vertex models. Starting from a four dimensional representation of $Y(sl_2)$ we obtain an integrable family of coupled Heisenberg spin-$1\over2$ chains. Some thermodynamical properties of this model are studied by means of the algebraic Bethe Ansatz.

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Holger Frahm, Claus R"odenbeck. 1995-02-22. Integrable models of coupled Heisenberg chains. https://doi.org/10.1209/epl%2Fi1996-00302-7

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