Batchelor, M. T.Barber, M. N.2026-01-062026-01-060305-4470ORCID:/0000-0001-6742-0518/work/162950082https://hdl.handle.net/1885/733803871The 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.en199010.1088/0305-4470/23/1/0040007753525