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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MDPI AG
2022-11-01
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Series: | Nanomaterials |
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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. |
first_indexed | 2024-03-09T17:37:39Z |
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id | doaj.art-62ee4a4932994f88973954e7d5e4b7cb |
institution | Directory Open Access Journal |
issn | 2079-4991 |
language | English |
last_indexed | 2024-03-09T17:37:39Z |
publishDate | 2022-11-01 |
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series | Nanomaterials |
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 |