Spin chain connected to the quantum superalgebra $\mathrm{sl}_q(1\mid 1)$

We consider an integrable system with $R$-matrix connected to the algebra $\mathrm{sl}_q(1\mid1)$. We construct the Hamiltonian of the system and find its spectrum by means of the algebraic Bethe Ansatz. The symmetry algebra of the chain is written out. The partition function of the model on the lattice with domain wall boundary conditions is calculated.