The nineteen-vertex models of Zamolodchikov-Fateev, Izergin-Korepin and the supersymmetric osp(1|2) with periodic boundary conditions are studied. We find the spectrum of these quantum spin chains using the Coordinate Bethe Ansatz. The approche is a suitable parametrization of their wavefunctions. We also applied the Algebraic Bethe Ansatz in order to obtain the eigenvalues and eigenvectors of the corresponding transfer matrices.

Jul 29, 19984 citations

arXiv:cond-mat/9409116 · The European Physical Journal B

Exact solution of new integrable nineteen-vertex models and quantum spin-1 chains

A. Kl�mper, Sergey I. Matveenko, J. Zittartz

Published Sep 1, 1995• 15 citations

arXiv HTML PDF

DOI: 10.1007/bf01313063

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We solved the Yang-Baxter equation for the

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