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Theoretical and Mathematical Physics

Irreducible monodromy matrices for the R matrix of the XXZ model and local lattice quantum Hamiltonians

V. Tarasov

Published May 1, 1985• 96 citations
Publisher
DOI
10.1007/bf01017900

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Using notation inherited from the six-vertex model, we construct diagrams that represent the action of the factorizing F-matrices associated to the finite length XXZ spin-12 chain. We provide a diagrammatic proof that these F-matrices factorize the tensor R1…nσ corresponding with elements of the permutation group. We consider in particular the diagram for the tensor R1…nσc, which cyclically permutes the spin chain. This leads us to a diagrammatic construction of the local spin operators Si± and Siz in terms of the monodromy matrix operators.