Effect of different Dzyaloshinskii-Moriya interactions on entanglement in the Heisenberg XYZ chain

TL;DR

This study investigates how various Dzyaloshinskii-Moriya interactions influence thermal entanglement in a two-qubit Heisenberg XYZ model, revealing the control parameters and effects on critical temperature.

Contribution

It demonstrates the differential impact of DM coupling parameters on entanglement and identifies the most effective control parameter based on spin coupling strengths.

Findings

Different DM couplings affect entanglement and critical temperature.

Largest spin coupling coefficient makes the corresponding DM interaction most effective.

Adjusting DM interaction direction optimizes entanglement control.

Abstract

In this paper, we study the thermal entanglement in a two-qubit Heisenberg XYZ system with different Dzyaloshinskii-Moriya (DM) couplings. We show that different DM coupling parameters have different influences on the entanglement and the critical temperature. In addition, we find that when $J_{i}$ ($i$-component spin coupling interaction) is the largest spin coupling coefficient, $D_{i}$ ($i$-component DM interaction) is the most efficient DM control parameter, which can be obtained by adjusting the direction of DM interaction.