Integrable models of coupled Heisenberg chains

TL;DR

This paper constructs a new integrable model of coupled Heisenberg spin chains using Yangian symmetry and analyzes its thermodynamic properties via algebraic Bethe Ansatz.

Contribution

It introduces a novel integrable model of coupled Heisenberg chains derived from Yangian invariance, expanding the class of solvable quantum spin systems.

Findings

Derived an integrable family of coupled Heisenberg chains

Analyzed thermodynamical properties using algebraic Bethe Ansatz

Demonstrated the role of Yangian symmetry in integrable models

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.