Batchelor, MurrayMaslen, Mark2015-12-132015-12-130305-4470http://hdl.handle.net/1885/91095We show that a two-leg ladder Hamiltonian introduced recently by Albeverio and Fei can be made to satisfy the Hecke algebra. As a result we have found an equivalent representation of the eigenspectrum in terms of the spin-1/2 antiferromagnetic X X Z chain at Δ = -5/3. The values of thermodynamic quantities such as the ground state energy and mass gap follow from the known X X Z results.200010.1088/0305-4470/33/3/3012015-12-12