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arXiv:cond-mat/9611013 · Nuclear Physics B

Spin excitations in the integrable open quantum group invariant supersymmetric t−J model

Yu-Sen Zhou, Murray T. Batchelor

Published Apr 1, 1997• 13 citations
arXivHTMLPDF
DOI
10.1016/s0550-3213(97)00106-5

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In this work we investigate the supersymmetric t-J model in one dimension. The spectrum of the hamiltonian is obtained by means of the algebraic nested Bethe-ansatz method. Furthermore, we present a detailed analysis of the algebraic structure of the states. By combining the Bethe ansatz with the spl(2,1) supersymmetry of the t-J hamiltonian a complete set of eigenstates is constructed. The ground state and the elementary excitations of the model are investigated. We also introduce a new integrable vertex model, the anisotropic t-J model, which possesses splq(2, 1) "quantum supergroup" invariance.