Micromagnetic Simulation of Domain Structure Transition in Ferromagnetic Nanospheres under Zero External Field

In this work, we investigated the domain structure transition in ferromagnetic nanospheres at the ground-state conditions under zero external magnetic field by micromagnetic simulation. Four basic ferromagnetic materials, nickel (Ni), permalloy (Py), iron (Fe), and cobalt (Co), with variation in...

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Main Authors: Dede Djuhana, Candra Kurniawan, Dong-Hyun Kim, Agus Tri Widodo
Format: Article
Language:English
Published: Universitas Indonesia 2021-07-01
Series:International Journal of Technology
Subjects:
Online Access:https://ijtech.eng.ui.ac.id/article/view/4278
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author Dede Djuhana
Candra Kurniawan
Dong-Hyun Kim
Agus Tri Widodo
author_facet Dede Djuhana
Candra Kurniawan
Dong-Hyun Kim
Agus Tri Widodo
author_sort Dede Djuhana
collection DOAJ
description In this work, we investigated the domain structure transition in ferromagnetic nanospheres at the ground-state conditions under zero external magnetic field by micromagnetic simulation. Four basic ferromagnetic materials, nickel (Ni), permalloy (Py), iron (Fe), and cobalt (Co), with variation in diameters from 20 to 100 nm were modeled in the simulation. It was observed that a transition of domain structure occurs from a single-domain to a multi-domain structure at a specific diameter based on the magnetization energy profile. Interestingly, a vortex–core orientation in the multi-domain regime was related to the magnetocrystalline axis of the material, which first aligns with the hard-axis direction, and then changes to the easy-axis direction for low-anisotropy materials (Ni, Py, and Fe). In contrast, only hard-axis orientation exists for high-anisotropy materials (Co). Furthermore, it is also observed that the transition of domain structure was related to the critical diameter. Below the critical diameter, a single-domain structure is exhibited in which the demagnetization energy was larger than the exchange energy. A multi-domain structure emerged above the critical diameter where the exchange energy was larger than the demagnetization energy. The comparable values of critical diameter were also calculated based on the Kittel and Brown equations. The results of the critical diameter from the micromagnetic simulation agreed with the theoretical calculations. Therefore, an interpretation of these magnetization dynamics is an important step in the material selection for granular magnetic-based storage.
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spelling doaj.art-401534c0739d45fd96340e8459b4d4e12023-01-02T07:18:31ZengUniversitas IndonesiaInternational Journal of Technology2086-96142087-21002021-07-0112353954810.14716/ijtech.v12i3.42784278Micromagnetic Simulation of Domain Structure Transition in Ferromagnetic Nanospheres under Zero External FieldDede Djuhana0Candra Kurniawan1Dong-Hyun Kim2Agus Tri Widodo3Department of Physics, Faculty Mathematics and Natural Science (FMIPA), Universitas Indonesia, Kampus UI Depok, Depok 16424, Indonesia1.Department of Physics, Faculty Mathematics and Natural Science (FMIPA), Universitas Indonesia, Kampus UI Depok, Depok 16424, Indonesia 2. Research Center for Physics, Indonesian Institute of ScienDepartment of Physics, Chungbuk National University, Cheongju 28644, South KoreaDepartment of Physics, Faculty Mathematics and Natural Science (FMIPA), Universitas Indonesia, Kampus UI Depok, Depok 16424, IndonesiaIn this work, we investigated the domain structure transition in ferromagnetic nanospheres at the ground-state conditions under zero external magnetic field by micromagnetic simulation. Four basic ferromagnetic materials, nickel (Ni), permalloy (Py), iron (Fe), and cobalt (Co), with variation in diameters from 20 to 100 nm were modeled in the simulation. It was observed that a transition of domain structure occurs from a single-domain to a multi-domain structure at a specific diameter based on the magnetization energy profile. Interestingly, a vortex–core orientation in the multi-domain regime was related to the magnetocrystalline axis of the material, which first aligns with the hard-axis direction, and then changes to the easy-axis direction for low-anisotropy materials (Ni, Py, and Fe). In contrast, only hard-axis orientation exists for high-anisotropy materials (Co). Furthermore, it is also observed that the transition of domain structure was related to the critical diameter. Below the critical diameter, a single-domain structure is exhibited in which the demagnetization energy was larger than the exchange energy. A multi-domain structure emerged above the critical diameter where the exchange energy was larger than the demagnetization energy. The comparable values of critical diameter were also calculated based on the Kittel and Brown equations. The results of the critical diameter from the micromagnetic simulation agreed with the theoretical calculations. Therefore, an interpretation of these magnetization dynamics is an important step in the material selection for granular magnetic-based storage.https://ijtech.eng.ui.ac.id/article/view/4278critical diameterdomain structuremicromagneticmulti-domainsingle domain
spellingShingle Dede Djuhana
Candra Kurniawan
Dong-Hyun Kim
Agus Tri Widodo
Micromagnetic Simulation of Domain Structure Transition in Ferromagnetic Nanospheres under Zero External Field
International Journal of Technology
critical diameter
domain structure
micromagnetic
multi-domain
single domain
title Micromagnetic Simulation of Domain Structure Transition in Ferromagnetic Nanospheres under Zero External Field
title_full Micromagnetic Simulation of Domain Structure Transition in Ferromagnetic Nanospheres under Zero External Field
title_fullStr Micromagnetic Simulation of Domain Structure Transition in Ferromagnetic Nanospheres under Zero External Field
title_full_unstemmed Micromagnetic Simulation of Domain Structure Transition in Ferromagnetic Nanospheres under Zero External Field
title_short Micromagnetic Simulation of Domain Structure Transition in Ferromagnetic Nanospheres under Zero External Field
title_sort micromagnetic simulation of domain structure transition in ferromagnetic nanospheres under zero external field
topic critical diameter
domain structure
micromagnetic
multi-domain
single domain
url https://ijtech.eng.ui.ac.id/article/view/4278
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AT candrakurniawan micromagneticsimulationofdomainstructuretransitioninferromagneticnanospheresunderzeroexternalfield
AT donghyunkim micromagneticsimulationofdomainstructuretransitioninferromagneticnanospheresunderzeroexternalfield
AT agustriwidodo micromagneticsimulationofdomainstructuretransitioninferromagneticnanospheresunderzeroexternalfield