The exact solution of a generalized two-spins model

Abstract

We present the exact solution of a family of two-spins models. The models are solved by the algebraic Bethe ansatz method using the $gl(2)$-invariant $R$-matrix and a multi-spins Lax operator. The interactions are by the Heisenberg spins exchange. We are also considering magnetic $B$-fields and a term for Haldane single spin anisotropy.