Integrability of the Heisenberg Chains with Boundary Impurities and Their Bethe Ansatz

TL;DR

This paper demonstrates the integrability of spin-1/2 and spin-1 XXZ Heisenberg chains with boundary impurities and derives their eigenvalues using the Bethe ansatz method.

Contribution

It extends integrability results to chains with boundary impurities and generalizes to higher spin chains using the fusion method.

Findings

Established integrability of spin-1/2 XXZ chain with boundary impurities.

Generalized integrability to spin-1 XXZ chain.

Derived eigenvalues of Hamiltonians via Bethe ansatz.

Abstract

In this paper, we show the integrability of spin-1/2 XXZ Heisenberg chain with two arbitrary spin boundary Impurities. By using the fusion method, we generalize it to the spin-1 XXZ chain. Then the eigenvalues of Hamiltonians of these models are obtained by the means of Bethe ansatz method.