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Research Report MRR96-058

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

Y.-K. Zhou and M.T. Batchelor

Abstract: The integrable quantum group $spl_q(2,1)$ -invariant supersymmetric t-J model with open boundaries is studied via an analytic treatment of the Bethe equations. An su(2) feature is seen to hold for states at or close to half-filling. For these states the eigenvalues of the transfer matrix of the t-J model satisfy a set of su(2) functional relations. The finite-size corrections to the relevant eigenvalues, and thus the surface effect on the spin excitations, have been calculated analytically by solving the functional relations.


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