Effect of Dzyaloshinskii–Moriya and Kaplan–Shekhtman–Entin–Wohlman–Aharony Interactions on Thermal Entanglement of Heisenberg XYZ Chains Under External Magnetic Field

This paper investigates quantum entanglement in a two-qubit Heisenberg XYZ system with x-components of the Kaplan–Shekhtman–Entin–Wohlman–Aharony and Dzyaloshinskii–Moriya couplings subjected to a uniform magnetic field along the x-axis. By the notion of concurrence, the influence of these two kinds of interactions on thermal entanglement is studied in detail for both antiferromagnetic and ferromagnetic cases. By setting the coupling strength of the spin, we quickly recover the isotropic XY, anisotropic XY, and XXX Heisenberg models. Additionally, we demonstrate that the Dzyaloshinskii–Moriya and Kaplan–Shekhtman–Entin–Wohlman–Aharony couplings are more beneficial control variables, raising the value of these parameters results in more substantial entanglement and an increased critical temperature Tc\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T_c$$\end{document}. Moreover, a significant magnetic field makes the system less entangled.