Heisenberg XYZ Hamiltonian with Integrable Impurities

TL;DR

This paper introduces an exactly solvable impurity model within the open boundary Heisenberg XYZ spin chain, extending integrability to include impurities in the anisotropic model with boundary conditions.

Contribution

It is the first to incorporate integrable impurities into the fully anisotropic Heisenberg XYZ model with open boundaries, expanding the scope of integrable impurity models.

Findings

Constructed an exactly solvable impurity Hamiltonian

Demonstrated reduction to the XXZ impurity model in a special limit

Extended integrability to anisotropic open boundary spin chains

Abstract

In this letter, we construct a Hamiltonian of the impurity model within the framework of the open boundary Heisenberg XYZ spin chain. This impurity model is an exactly solved one and it degenerates to the integrable XXZ impurity model under the triangular limit. This approach is the first time to add the integrable impurities to the completely anisotropic Heisenberg spin model with the open boundary conditions.