External and Crystal Magnetic Field Effects on the Compensation Phenomena of Mixed-Spin (5/2, 7/2) Hexagonal Ising Nanowire

Based on the Ising model, using the Monte Carlo method, we examine the magnetic and thermodynamic characteristics of a ferrimagnetic hexagonal nanowire with spin-5/2 and spin-7/2 of alternate layer structure under external and longitudinal crystal magnetic fields, in particular the physical effect of the external magnetic field on compensation behavior. Moreover, the phase diagrams in the (T,D/Js\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T, D/J_{s}$$\end{document}), (T,Jint/Js\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T, J_{int}/J_{s}$$\end{document}), and (T,Jσ/Js)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$T, J_{\sigma }/J_{s})$$\end{document} planes have been detailed. Consequently, we have obtained single and double compensation temperatures for the determined longitudinal crystal and external field parameters. The magnetizations of type-N, type-Q, and type-M have been found for certain parameter values in our system. This research was compared with other theoretical and experimental findings.