The exact solution of a generalized two-spins model

TL;DR

This paper provides an exact solution to a family of two-spins models with Heisenberg exchange interactions, magnetic fields, and anisotropy, using algebraic Bethe ansatz and $gl(2)$-invariant $R$-matrix.

Contribution

It introduces an exact algebraic Bethe ansatz solution for a generalized two-spins model with additional magnetic and anisotropic interactions.

Findings

Exact solution obtained via algebraic Bethe ansatz.

Inclusion of magnetic $B$-fields and Haldane anisotropy.

Applicable to models with $gl(2)$-invariant $R$-matrix.

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.