The entanglement in one-dimensional random XY spin chain with Dzyaloshinskii-Moriya interaction

TL;DR

This paper investigates how impurities and Dzyaloshinskii-Moriya interaction influence entanglement in one-dimensional random XY spin chains, revealing that these factors can enhance or suppress entanglement depending on their strengths and the chain type.

Contribution

It provides a detailed analysis of the effects of impurities and DM interaction on entanglement in random XY spin chains, highlighting their competing roles.

Findings

Weak DM interaction increases entanglement in ferromagnetic chains.

Impurities have opposite effects on entanglement below and above critical DM interaction.

DM interaction enhances entanglement to a steady value in antiferromagnetic chains.

Abstract

The impurities of exchange couplings, external magnetic fields and Dzyaloshinskii--Moriya (DM) interaction considered as Gaussian distribution, the entanglement in one-dimensional random $XY$ spin systems is investigated by the method of solving the different spin-spin correlation functions and the average magnetization per spin. The entanglement dynamics at central locations of ferromagnetic and antiferromagnetic chains have been studied by varying the three impurities and the strength of DM interaction. (i) For ferromagnetic spin chain, the weak DM interaction can improve the amount of entanglement to a large value, and the impurities have the opposite effect on the entanglement below and above critical DM interaction. (ii) For antiferromagnetic spin chain, DM interaction can enhance the entanglement to a steady value. Our results imply that DM interaction strength, the impurity and exchange couplings (or magnetic field) play competing roles in enhancing quantum entanglement.