The Bloch point 3D topological charge induced by the magnetostatic interaction
Abstract A hedgehog or Bloch point is a point-like 3D magnetization configuration in a ferromagnet. Regardless of widely spread treatment of a Bloch point as a topological defect, its 3D topological charge has never been calculated. Here, applying the concepts of the emergent magnetic field and Dira...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2021-11-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-021-01175-9 |
| _version_ | 1818934536845656064 |
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| author | F. Tejo R. Hernández Heredero O. Chubykalo-Fesenko K. Y. Guslienko |
| author_facet | F. Tejo R. Hernández Heredero O. Chubykalo-Fesenko K. Y. Guslienko |
| author_sort | F. Tejo |
| collection | DOAJ |
| description | Abstract A hedgehog or Bloch point is a point-like 3D magnetization configuration in a ferromagnet. Regardless of widely spread treatment of a Bloch point as a topological defect, its 3D topological charge has never been calculated. Here, applying the concepts of the emergent magnetic field and Dirac string, we calculate the 3D topological charge (Hopf index) of a Bloch point and show that due to the magnetostatic energy contribution it has a finite, non-integer value. Thus, Bloch points form a new class of hopfions—3D topological magnetization configurations. The calculated Bloch point non-zero gyrovector leads to important dynamical consequences such as the appearance of topological Hall effect. |
| first_indexed | 2024-12-20T05:05:50Z |
| format | Article |
| id | doaj.art-495b25e7ff24403ba7d05228c264d13f |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-20T05:05:50Z |
| publishDate | 2021-11-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-495b25e7ff24403ba7d05228c264d13f2022-12-21T19:52:24ZengNature PortfolioScientific Reports2045-23222021-11-011111910.1038/s41598-021-01175-9The Bloch point 3D topological charge induced by the magnetostatic interactionF. Tejo0R. Hernández Heredero1O. Chubykalo-Fesenko2K. Y. Guslienko3Instituto de Ciencia de Materiales de MadridDepartamento de Matemática Aplicada a las TIC, ETSIST, Universidad Politécnica de MadridInstituto de Ciencia de Materiales de MadridDepartamento de Polímeros y Materiales Avanzados, Universidad del País Vasco, UPV/EHUAbstract A hedgehog or Bloch point is a point-like 3D magnetization configuration in a ferromagnet. Regardless of widely spread treatment of a Bloch point as a topological defect, its 3D topological charge has never been calculated. Here, applying the concepts of the emergent magnetic field and Dirac string, we calculate the 3D topological charge (Hopf index) of a Bloch point and show that due to the magnetostatic energy contribution it has a finite, non-integer value. Thus, Bloch points form a new class of hopfions—3D topological magnetization configurations. The calculated Bloch point non-zero gyrovector leads to important dynamical consequences such as the appearance of topological Hall effect.https://doi.org/10.1038/s41598-021-01175-9 |
| spellingShingle | F. Tejo R. Hernández Heredero O. Chubykalo-Fesenko K. Y. Guslienko The Bloch point 3D topological charge induced by the magnetostatic interaction Scientific Reports |
| title | The Bloch point 3D topological charge induced by the magnetostatic interaction |
| title_full | The Bloch point 3D topological charge induced by the magnetostatic interaction |
| title_fullStr | The Bloch point 3D topological charge induced by the magnetostatic interaction |
| title_full_unstemmed | The Bloch point 3D topological charge induced by the magnetostatic interaction |
| title_short | The Bloch point 3D topological charge induced by the magnetostatic interaction |
| title_sort | bloch point 3d topological charge induced by the magnetostatic interaction |
| url | https://doi.org/10.1038/s41598-021-01175-9 |
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