Stability and phase transition of skyrmion crystals generated by Dzyaloshinskii-Moriya interaction.
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| Title: | Stability and phase transition of skyrmion crystals generated by Dzyaloshinskii-Moriya interaction. |
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| Authors: | El Hog, Sahbi1 sahbi.el-hog@u-cergy.fr, Bailly-Reyre, Aurélien1 aurelien.bailly-reyre@u-cergy.fr, Diep, H.T.1 diep@u-cergy.fr |
| Source: | Journal of Magnetism & Magnetic Materials. Jun2018, Vol. 455, p32-38. 7p. |
| Subjects: | Skyrmions, Phase transitions, Magnetic fields, Crystals, Monte Carlo method |
| Abstract: | We generate a crystal of skyrmions in two dimensions using a Heisenberg Hamiltonian including the ferromagnetic interaction J , the Dzyaloshinskii-Moriya interaction D , and an applied magnetic field H . The ground state (GS) is determined by minimizing the interaction energy. We show that the GS is a skyrmion crystal in a region of ( D , H ) . The stability of this skyrmion crystalline phase at finite temperatures is shown by a study of the time-dependence of the order parameter using Monte Carlo simulations. We observe that the relaxation is very slow and follows a stretched exponential law. The skyrmion crystal phase is shown to undergo a transition to the paramagnetic state at a finite temperature. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Magnetism & Magnetic Materials is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 128390958 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Stability and phase transition of skyrmion crystals generated by Dzyaloshinskii-Moriya interaction. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22El+Hog%2C+Sahbi%22">El Hog, Sahbi</searchLink><relatesTo>1</relatesTo><i> sahbi.el-hog@u-cergy.fr</i><br /><searchLink fieldCode="AR" term="%22Bailly-Reyre%2C+Aurélien%22">Bailly-Reyre, Aurélien</searchLink><relatesTo>1</relatesTo><i> aurelien.bailly-reyre@u-cergy.fr</i><br /><searchLink fieldCode="AR" term="%22Diep%2C+H%2ET%2E%22">Diep, H.T.</searchLink><relatesTo>1</relatesTo><i> diep@u-cergy.fr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Magnetism+%26+Magnetic+Materials%22">Journal of Magnetism & Magnetic Materials</searchLink>. Jun2018, Vol. 455, p32-38. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Skyrmions%22">Skyrmions</searchLink><br /><searchLink fieldCode="DE" term="%22Phase+transitions%22">Phase transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetic+fields%22">Magnetic fields</searchLink><br /><searchLink fieldCode="DE" term="%22Crystals%22">Crystals</searchLink><br /><searchLink fieldCode="DE" term="%22Monte+Carlo+method%22">Monte Carlo method</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We generate a crystal of skyrmions in two dimensions using a Heisenberg Hamiltonian including the ferromagnetic interaction J , the Dzyaloshinskii-Moriya interaction D , and an applied magnetic field H . The ground state (GS) is determined by minimizing the interaction energy. We show that the GS is a skyrmion crystal in a region of ( D , H ) . The stability of this skyrmion crystalline phase at finite temperatures is shown by a study of the time-dependence of the order parameter using Monte Carlo simulations. We observe that the relaxation is very slow and follows a stretched exponential law. The skyrmion crystal phase is shown to undergo a transition to the paramagnetic state at a finite temperature. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Magnetism & Magnetic Materials is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jmmm.2017.10.031 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 32 Subjects: – SubjectFull: Skyrmions Type: general – SubjectFull: Phase transitions Type: general – SubjectFull: Magnetic fields Type: general – SubjectFull: Crystals Type: general – SubjectFull: Monte Carlo method Type: general Titles: – TitleFull: Stability and phase transition of skyrmion crystals generated by Dzyaloshinskii-Moriya interaction. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: El Hog, Sahbi – PersonEntity: Name: NameFull: Bailly-Reyre, Aurélien – PersonEntity: Name: NameFull: Diep, H.T. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2018 Type: published Y: 2018 Identifiers: – Type: issn-print Value: 03048853 Numbering: – Type: volume Value: 455 Titles: – TitleFull: Journal of Magnetism & Magnetic Materials Type: main |
| ResultId | 1 |
