Abstract :
The anisotropic t–J model (Uq(gl(2|1)) Perk–Schultz model) with staggered disposition of the anisotropy parameter along a chain is considered and the corresponding ladder type integrable model is constructed. This is a generalisation to spin-1 case of the staggered XXZ spin-1/2 model considered earlier. The corresponding Hamiltonian is calculated and, since it contains next to nearest neighbour interaction terms, can be written in a zig-zag form. The algebraic Bethe ansatz technique is applied and the eigenstates, along with eigenvalues of the transfer matrix of the model are found.