Quasi-Exactly Solvable N-Body Spin Hamiltonians with Short-Range   Interaction Potentials
  We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models. A nontrivial modification of the exchange operator formalism is used to obtain several infinite families of eigenfunctions of these models in closed form. 
A. Enciso, F. Finkel, A. Gonzalez-Lopez, M.A. Rodriguez