INTEGRABLE SPIN CHAIN WITH 2-PARTICLE AND 3-PARTICLE INTERACTIONS

The one-dimensional model which consists of two isotropic XY chains with spins S = 1/2 coupled by three-spin interaction is considered with the help of the Bethe ansatz. It is shown that the diagonalization of the Hamiltonian can be reduced to solving a set of coupled nonlinear equations. The exact solution of these equations corresponding to the ground state of system is obtained. The model considered exhibits a ground state of Anderson type with the finite magnetization along the quantization axis.