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Spin-s quantum chains and Temperley-Lieb algebras

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Batchelor, M. T.
Barber, M. N.

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The authors construct a family of isotropic spin-s quantum chains consisting of sums of operators satisfying a Temperley-Lieb algebra. Exact values for the infinite lattice limit of the ground-state energy per site and for the (non-zero) gap to the lowest energy excited state follow from the Temperley-Lieb equivalence with a Bethe ansatz soluble XXZ model. The family of spin chains includes the biquadratic spin-1 model.

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Journal of Physics A: Mathematical and General

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