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Physical review. B, Condensed matter

Completeness of the Bethe states for the supersymmetrict-Jmodel

Angela Foerster, Michael Karowski

Published Oct 1, 1992• 41 citations
Publisher

Abstract

A complete set of eigenstates for the supersymmetric t-J model in one dimension is obtained by combining the Bethe ansatz with the Spl(2,1) supersymmetry of the model.Received 10 February 1992DOI:https://doi.org/10.1103/PhysRevB.46.9234©1992 American Physical Society

DOI
10.1103/physrevb.46.9234

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Physical review. B, Condensed matter•Aug 1, 1992•6 citations
A complete set of eigenstates for the supersymmetric t-J model in one dimension is obtained by combining the Bethe ansatz with the Spl(2,1) supersymmetry of the model.Received 10 February 1992DOI:https://doi.org/10.1103/PhysRevB.46.9234©1992 American Physical Society
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.