# Tuning the thermal entanglement in a Ising-$XXZ$ diamond chain with two impurities

## TL;DR

This paper investigates how impurities in an Ising-$XXZ$ diamond chain can be used to locally tune and improve thermal entanglement, providing exact solutions and insights into impurity effects.

## Contribution

It offers a rigorous, exactly solvable model demonstrating impurity-induced local control and enhancement of thermal entanglement in a spin chain.

## Key findings

- Impurities enable local tuning of entanglement.
- Impurities improve thermal entanglement performance.
- Exact transfer-matrix solution confirms impurity effects.

## Abstract

We study the local thermal entanglement in a spin-1/2 Ising-$XXZ$ diamond structure with two impurities. In this spin chain, we have the two impurities with an isolated $XXZ$ dimer between them. We focus on the study of the thermal entanglement in this dimer. The main goal of this paper is to provide a good understanding of the effect of impurities in the entanglement of the model. This model is exactly solved by a rigorous treatment based on the transfer-matrix method. Our results show that the entanglement can be tuned by varying the impurities parameters in this system. In addition, it is shown that the thermal entanglement for such a model exhibits a clear performance improvement when we control and manipulate the impurities compared to the original model without impurities. Finally, the impurities can be manipulated to locally control the thermal entanglement, unlike the original model where it is done globally.