Heisenberg spin chains based on sℓ(2|1) symmetry Original Research Article

We find the general rational solution of the Yang–Baxter equation with symmetry sℓ(2|1). The R-matrix obtained acts on the tensor product of arbitrary representations of the superalgebra sℓ(2|1). Based on this R-matrix we construct the local Hamiltonians for integrable homogeneous periodic chains and open chains.