Field-Driven Magnetic Phase Diagram and Vortex Stability in Fe Nanometric Square Prisms

In this work, we deal with the zero temperature hysteretic properties of iron (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>Fe</mi></semantics></math></inline-formula>) quadrangula...

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Main Authors: Mauricio Galvis, Fredy Mesa, Johans Restrepo
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Nanomaterials
Subjects:
Online Access:https://www.mdpi.com/2079-4991/12/23/4243
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author Mauricio Galvis
Fredy Mesa
Johans Restrepo
author_facet Mauricio Galvis
Fredy Mesa
Johans Restrepo
author_sort Mauricio Galvis
collection DOAJ
description In this work, we deal with the zero temperature hysteretic properties of iron (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>Fe</mi></semantics></math></inline-formula>) quadrangular nanoprisms and the size conditions underlying magnetic vortex states formation. Different aspect ratios of a square base prism of thickness <i>t</i> with free boundary conditions were considered in order to summarize our results in a proposal of a field-driven magnetic phase diagram where such vortex states are stable along the hysteresis loops. To do that, a Hamiltonian consisting of exchange, magnetostatic, Zeeman and cubic anisotropy energies was considered. The time dynamics at each magnetic field step was performed by solving the time-dependent Landau–Lifshitz–Gilbert differential equation. The micromagnetic simulations were performed using the Ubermag package based on the Object Oriented Micromagnetic Framework (OOMMF). Circular magnetic textures were also characterized by means of topological charge calculations. The aspect ratio dependencies of the coercive force, nucleation and annihilation fields are also analyzed. Computations agree with related experimental observations and other micromagnetic calculations.
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spelling doaj.art-62ee4a4932994f88973954e7d5e4b7cb2023-11-24T11:47:48ZengMDPI AGNanomaterials2079-49912022-11-011223424310.3390/nano12234243Field-Driven Magnetic Phase Diagram and Vortex Stability in Fe Nanometric Square PrismsMauricio Galvis0Fredy Mesa1Johans Restrepo2Group of Magnetism and Simulation G+, Institute of Physics, University of Antioquia, A.A. 1226, Medellín 050010, ColombiaNanoTech Group, Facultad de Ingeniería y Ciencias Básicas, Fundación Universitaria Los Libertadores, Cra. 16 No. 63a-68, Bogotá 111221, ColombiaGroup of Magnetism and Simulation G+, Institute of Physics, University of Antioquia, A.A. 1226, Medellín 050010, ColombiaIn this work, we deal with the zero temperature hysteretic properties of iron (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>Fe</mi></semantics></math></inline-formula>) quadrangular nanoprisms and the size conditions underlying magnetic vortex states formation. Different aspect ratios of a square base prism of thickness <i>t</i> with free boundary conditions were considered in order to summarize our results in a proposal of a field-driven magnetic phase diagram where such vortex states are stable along the hysteresis loops. To do that, a Hamiltonian consisting of exchange, magnetostatic, Zeeman and cubic anisotropy energies was considered. The time dynamics at each magnetic field step was performed by solving the time-dependent Landau–Lifshitz–Gilbert differential equation. The micromagnetic simulations were performed using the Ubermag package based on the Object Oriented Micromagnetic Framework (OOMMF). Circular magnetic textures were also characterized by means of topological charge calculations. The aspect ratio dependencies of the coercive force, nucleation and annihilation fields are also analyzed. Computations agree with related experimental observations and other micromagnetic calculations.https://www.mdpi.com/2079-4991/12/23/4243iron nanoprismsmicromagneticsvortex statesmagnetic phase diagramaspect ratio
spellingShingle Mauricio Galvis
Fredy Mesa
Johans Restrepo
Field-Driven Magnetic Phase Diagram and Vortex Stability in Fe Nanometric Square Prisms
Nanomaterials
iron nanoprisms
micromagnetics
vortex states
magnetic phase diagram
aspect ratio
title Field-Driven Magnetic Phase Diagram and Vortex Stability in Fe Nanometric Square Prisms
title_full Field-Driven Magnetic Phase Diagram and Vortex Stability in Fe Nanometric Square Prisms
title_fullStr Field-Driven Magnetic Phase Diagram and Vortex Stability in Fe Nanometric Square Prisms
title_full_unstemmed Field-Driven Magnetic Phase Diagram and Vortex Stability in Fe Nanometric Square Prisms
title_short Field-Driven Magnetic Phase Diagram and Vortex Stability in Fe Nanometric Square Prisms
title_sort field driven magnetic phase diagram and vortex stability in fe nanometric square prisms
topic iron nanoprisms
micromagnetics
vortex states
magnetic phase diagram
aspect ratio
url https://www.mdpi.com/2079-4991/12/23/4243
work_keys_str_mv AT mauriciogalvis fielddrivenmagneticphasediagramandvortexstabilityinfenanometricsquareprisms
AT fredymesa fielddrivenmagneticphasediagramandvortexstabilityinfenanometricsquareprisms
AT johansrestrepo fielddrivenmagneticphasediagramandvortexstabilityinfenanometricsquareprisms