The Bloch point 3D topological charge induced by the magnetostatic interaction.

Tejo, F.; Hernández Heredero, Rafael José; Chubykalo-Fesenko, O.; Gusliyenko, Kostyantyn

dc.contributor.author	Tejo, F.
dc.contributor.author	Hernández Heredero, Rafael José
dc.contributor.author	Chubykalo-Fesenko, O.
dc.contributor.author	Gusliyenko, Kostyantyn
dc.date.accessioned	2021-11-29T08:48:34Z
dc.date.available	2021-11-29T08:48:34Z
dc.date.issued	2021-11-05
dc.identifier.citation	Scientific Reports 11(1) : (2021) // Article ID 21714	es_ES
dc.identifier.issn	2045-2322
dc.identifier.uri	http://hdl.handle.net/10810/54161
dc.description.abstract	[EN]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.	es_ES
dc.description.sponsorship	F.T. acknowledges support by ANID-PFCHA/Postdoctorado Becas Chile 74200122. K.G. acknowledges support by IKERBASQUE (the Basque Foundation for Science). This work was supported by the Spanish Ministry of Science and Innovation under grants FIS2016-78591-C3-3-R, PID2019-108075RB-C31, PID2019-108075RB-C33 and PID2019-106802GB-I00 /AEI/1013039/501100011033.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Nature Research	es_ES
dc.relation	info:eu-repo/grantAgreement/MICINN/FIS2016-78591-C3-3-R	es_ES
dc.relation	info:eu-repo/grantAgreement/MICINN/PID2019-108075RB-C31	es_ES
dc.relation	info:eu-repo/grantAgreement/MICINN/PID2019-108075RB-C33	es_ES
dc.relation	info:eu-repo/grantAgreement/MICINN/PID2019-106802GB-I00	es_ES
dc.rights	info:eu-repo/semantics/openAccess	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/es/	*
dc.title	The Bloch point 3D topological charge induced by the magnetostatic interaction.	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.rights.holder	This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.	es_ES
dc.rights.holder	Atribución 3.0 España	*
dc.relation.publisherversion	https://www.nature.com/articles/s41598-021-01175-9	es_ES
dc.identifier.doi	10.1038/s41598-021-01175-9
dc.departamentoes	Física de materiales	es_ES
dc.departamentoeu	Materialen fisika	es_ES

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This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Except where otherwise noted, this item's license is described as This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.