Estudio de propiedades de skyrmions aislados en sistemas ferromagnéticos
Se estudiaron propiedades magnéticas de un skyrmion aislado, usando al MnSi como el material magnético base, lo que implica un tipo de simetría y anisotropía magnética. Posteriormente se tomaron en cuenta las interacciones magnéticas que conllevan a la formación del skyrmion, siendo la interacción d...
- Autores:
-
Mejía Oquendo, Jose Rafael
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2024
- Institución:
- Universidad de Córdoba
- Repositorio:
- Repositorio Institucional Unicórdoba
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- spa
- OAI Identifier:
- oai:repositorio.unicordoba.edu.co:ucordoba/8635
- Acceso en línea:
- https://repositorio.unicordoba.edu.co/handle/ucordoba/8635
https://repositorio.unicordoba.edu.co/
- Palabra clave:
- Skyrmion
Propiedades magnéticas
Anisotropía magnética
Interacción Zee- man
Interacción de Dzyaloshinski-Moriya
Interacción dipolar magnética
Skyrmion
Magnetic properties
Magnetic Anisotropy
Zee-man Interaction
Dzyaloshinski-Moriya interaction
Magnetic dipole interaction
- Rights
- openAccess
- License
- Copyright Universidad de Córdoba, 2024
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Estudio de propiedades de skyrmions aislados en sistemas ferromagnéticos |
| title |
Estudio de propiedades de skyrmions aislados en sistemas ferromagnéticos |
| spellingShingle |
Estudio de propiedades de skyrmions aislados en sistemas ferromagnéticos Skyrmion Propiedades magnéticas Anisotropía magnética Interacción Zee- man Interacción de Dzyaloshinski-Moriya Interacción dipolar magnética Skyrmion Magnetic properties Magnetic Anisotropy Zee-man Interaction Dzyaloshinski-Moriya interaction Magnetic dipole interaction |
| title_short |
Estudio de propiedades de skyrmions aislados en sistemas ferromagnéticos |
| title_full |
Estudio de propiedades de skyrmions aislados en sistemas ferromagnéticos |
| title_fullStr |
Estudio de propiedades de skyrmions aislados en sistemas ferromagnéticos |
| title_full_unstemmed |
Estudio de propiedades de skyrmions aislados en sistemas ferromagnéticos |
| title_sort |
Estudio de propiedades de skyrmions aislados en sistemas ferromagnéticos |
| dc.creator.fl_str_mv |
Mejía Oquendo, Jose Rafael |
| dc.contributor.advisor.none.fl_str_mv |
López Ortiz, Javier del Cristo |
| dc.contributor.author.none.fl_str_mv |
Mejía Oquendo, Jose Rafael |
| dc.contributor.jury.none.fl_str_mv |
Espriella Vélez, Nicolas Antonio de la JIMENEZ NARVAEZ, ROSBEL |
| dc.subject.proposal.spa.fl_str_mv |
Skyrmion Propiedades magnéticas Anisotropía magnética Interacción Zee- man Interacción de Dzyaloshinski-Moriya Interacción dipolar magnética |
| topic |
Skyrmion Propiedades magnéticas Anisotropía magnética Interacción Zee- man Interacción de Dzyaloshinski-Moriya Interacción dipolar magnética Skyrmion Magnetic properties Magnetic Anisotropy Zee-man Interaction Dzyaloshinski-Moriya interaction Magnetic dipole interaction |
| dc.subject.keywords.eng.fl_str_mv |
Skyrmion Magnetic properties Magnetic Anisotropy Zee-man Interaction Dzyaloshinski-Moriya interaction Magnetic dipole interaction |
| description |
Se estudiaron propiedades magnéticas de un skyrmion aislado, usando al MnSi como el material magnético base, lo que implica un tipo de simetría y anisotropía magnética. Posteriormente se tomaron en cuenta las interacciones magnéticas que conllevan a la formación del skyrmion, siendo la interacción de Dzyaloshinski-Moriya la principal causa de la formación de skyrmions. Se tiene en cuenta de que la muestra presenta una anisotropía magnética cubica y no unixial, que conduce una ecuación de movimiento que describe los estado del sistema skyrmions en el equilibrio. Asimismo, todas las interacciones magnéticas se tomaron dentro de la aproximación de límite al continuo, con el fin resaltar los efectos de las simetrías cristalinas en el estado de equilibrio del sistema. |
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2024 |
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2024-08-23T22:11:28Z |
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2024-08-23T22:11:28Z |
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2024-08-23 |
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Trabajo de grado - Pregrado |
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Text |
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Universidad de Córdoba |
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Repositorio Universidad de Córdoba |
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https://repositorio.unicordoba.edu.co/ |
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spa |
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T. H. R. Skyrme, A non-linear field theory, Royal Society, 07 February 1961, https://doi. org/10.1098/rspa.1961.0018. T.H.R. Skyrme, A unified field theory of mesons and baryons, Nuclear Physics, March-April 1962, Vol. 31, pags. 556-569, https://doi.org/10.1016/0029-5582(62)90775-7 Michel Remoissenet, Waves Called Solitons: Concepts and Experiments, 1994, Springer, https://link.springer.com/book/10.1007/978-3-662-03057-8 M. Remoissenet and J. A. Whitehead, Waves Called Solitons: Concepts and Experiments, Ame- rican Journal of Physics, 04 June 1998, Vol. 63, http://dx.doi.org/10.1119/1.18083. K. Everschor-Sitte, J. Masell, R. M. Reeve, and M. Kläui, Perspective: Magnetic skyrmions- Overview of recent progress in an active research field, Journal of Applied Physics, 26 Decem- ber 2018, Vol. 124, https://doi.org/10.1063/1.5048972. Fert, A., Cros, V. and Sampaio, J., Skyrmions on the track, Nature Nanotech 8, 152-156 (2013), https://doi.org/10.1038/nnano.2013.29 Naoto Nagaosa and Yoshinori Tokura, Topological properties and dynamics of magnetic skyrmions, Nature Nanotech 8, 899-911 (2013), https://doi.org/10.1038/nnano.2013. 243 Stancil, Daniel D. and Prabhakar, Alok Spin Waves: Theory and Applications, 2009, Springer, https://doi.org/10.1007/978-1-4419-8087-9 Sara Guerrero Suárez, Anisotropía de la susceptibilidad magnética en crista- les naturales de hematites, Universidad Complutense de Madrid, 2015, https: //www.fundaciongarciasineriz.es/wp-content/uploads/attachments/xxii_ a082016_guerrero.pdf Michel Petitjean, Chiral mixtures, J. Math. Phys. 43, 4147?4157 (2002), https://doi.org/ 10.1063/1.1484559 Michel Petitjean, Extreme asymmetry and chirality. A challenging quantification, Sym- metry: Culture and Science 2020, 31[4], 439-447, https://journal-scs.symmetry.hu/ abstract/?pid=817 Mario Reis, Fundamentals of Magnetism, Academic Press 2013 Elsevier Inc., https://doi. org/10.1016/C2012-0-02644-0 T. Holstein and H. Primakoff, Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet, Phys. Rev. 102(5), 1217(1958). Alex Povilus, Zeeman Effect, Physics 441- Fall 2003, December 20-2003, https://physlab. lums.edu.pk/images/c/c5/Zeeman2.pdf Börge Göbel, Ingrid Mertig, Oleg A. Tretiakov, Beyond skyrmions: Review and perspectives of alternative magnetic quasiparticles, Physics Reports, 12 February 2021, Vol. 895, pags. 1-28, https://doi.org/10.1016/j.physrep.2020.10.001 Hwei P. Hsu, Análisis de Fourier. Addison-Wesley Iberoamericana, 1987. Michael Cottam, Linear and Nonlinear Spin Waves in Magnetic Films and Su- perlattices, World Scientific Publishing Company, 1994, https://www.amazon.com/ LINEAR-NONLINEAR-WAVES-MAGNETIC-SUPERLATTICES/dp/981021006X Divinskiy, Boris, Spin-wave dynamics driven by spin-orbit torque, 2020, Westfälische Wilhelms-Universität Münster. https://www.uni-muenster.de/imperia/md/content/ physik_ap/demokritov/abschlussarbeiten/boris_thesis.pdf Gurevich, A.G. and Melkov, G.A. Magnetization Oscillations and Waves, Taylor & Fran- cis,1996, https://books.google.com.co/books?id=YgQtSvFIvFQC. Sayantika Bhowal, S. Satpathy, Pratik Sahu, Magnetic Skyrmions in Condensed Matter Physics, STUDENT JOURNAL OF PHYSICS, 21 August 2020, Vol. 8, https://www.iopb.res.in/ ~sjp/82final/f1.pdf Andrey Komarov, Konstantin Komarov, Alioune Niang, and François Sanchez, Nature of soliton interaction in fiber lasers with continuous external optical injection, phys. rev. A, 24 January 2014, Vol. 89, https://journals.aps.org/pra/abstract/10.1103/PhysRevA. 89.013833. Yan Zhou, Magnetic skyrmions: intriguing physics and new spintronic device concepts, Natio- nal Science Review, 08 October 2018, Vol. 6, pags. 210-212, https://doi.org/10.1093/ nsr/nwy109 R. Tomasello, E. Martinez, R. Zivieri, L. Torres, M. Carpentieri and G. Finocchio, A strategy for the design of skyrmion racetrack memories, Scientific Reports, 29 October 2014, Vol. 4, https://doi.org/10.1038/srep06784 Xichao Zhang, G. P. Zhao, Hans Fangohr, J. Ping Liu, W. X. Xia, J. Xia and F. J. Mor- van, Skyrmion-skyrmion and skyrmion-edge repulsions in skyrmion-based racetrack memory, Scientific Reports, 6 January 2015, Vol. 5, https://doi.org/10.1038/srep07643 Jan Müller, Shape-dependence of the barrier for skyrmions on a two-lane racetrack, SPIE DIGI- TAL LIBRARY, 26 September 2016, Vol. 9931, https://doi.org/10.1117/12.2237624 Bruno Barton-Singer, Calum Ross, Bernd J. Schroers, Magnetic Skyrmions at Critical Coupling, Communications in Mathematical Physics, 20 January 2020, Vol. 375, https://doi.org/ 10.1007/s00220-019-03676-1 Sebastian Gliga, Ultrafast vortex core dynamics investigated by finite-element micromag- netic simulations, Forschungszentrums Jülich, 2009, vol. 79, https://doi.org/10.1007/ 978-1-4419-8087-9 A O Leonov,T L Monchesky, N Romming, A Kubetzka, A N Bogdanov and R Wiesendanger, The properties of isolated chiral skyrmions in thin magnetic films, New Journal of Physics , 31 May 2016, doi:10.1088/1367-2630/18/6/065003 |
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López Ortiz, Javier del Cristo69933a37-80b7-47fe-91ef-f67eea9a034a600Mejía Oquendo, Jose Rafaelcdff39ec-bd80-4170-9d16-4797db63fb37-1Espriella Vélez, Nicolas Antonio de la421da0b3-24ed-44f7-b0ed-42afa0f7d569600JIMENEZ NARVAEZ, ROSBEL6b3316bd-62a8-4165-8c38-f1728c1dc6a96002024-08-23T22:11:28Z2024-08-23T22:11:28Z2024-08-23https://repositorio.unicordoba.edu.co/handle/ucordoba/8635Universidad de CórdobaRepositorio Universidad de Córdobahttps://repositorio.unicordoba.edu.co/Se estudiaron propiedades magnéticas de un skyrmion aislado, usando al MnSi como el material magnético base, lo que implica un tipo de simetría y anisotropía magnética. Posteriormente se tomaron en cuenta las interacciones magnéticas que conllevan a la formación del skyrmion, siendo la interacción de Dzyaloshinski-Moriya la principal causa de la formación de skyrmions. Se tiene en cuenta de que la muestra presenta una anisotropía magnética cubica y no unixial, que conduce una ecuación de movimiento que describe los estado del sistema skyrmions en el equilibrio. Asimismo, todas las interacciones magnéticas se tomaron dentro de la aproximación de límite al continuo, con el fin resaltar los efectos de las simetrías cristalinas en el estado de equilibrio del sistema.ResumenIntroducciónConceptos fundamentales en magnetismoSkyrmions magnéticosFormación de skyrmions aislados en sistemas ferromagnéticosResultados y conclusionesPregradoFísico(a)Trabajos de Investigación y/o Extensiónapplication/pdfspaUniversidad de CórdobaFacultad de Ciencias BásicasMontería, Córdoba, ColombiaFísicaCopyright Universidad de Córdoba, 2024https://creativecommons.org/licenses/by-nc-nd/4.0/Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Estudio de propiedades de skyrmions aislados en sistemas ferromagnéticosTrabajo de grado - Pregradoinfo:eu-repo/semantics/bachelorThesishttp://purl.org/coar/resource_type/c_7a1finfo:eu-repo/semantics/acceptedVersionTextT. H. R. Skyrme, A non-linear field theory, Royal Society, 07 February 1961, https://doi. org/10.1098/rspa.1961.0018.T.H.R. Skyrme, A unified field theory of mesons and baryons, Nuclear Physics, March-April 1962, Vol. 31, pags. 556-569, https://doi.org/10.1016/0029-5582(62)90775-7Michel Remoissenet, Waves Called Solitons: Concepts and Experiments, 1994, Springer, https://link.springer.com/book/10.1007/978-3-662-03057-8M. Remoissenet and J. A. Whitehead, Waves Called Solitons: Concepts and Experiments, Ame- rican Journal of Physics, 04 June 1998, Vol. 63, http://dx.doi.org/10.1119/1.18083.K. Everschor-Sitte, J. Masell, R. M. Reeve, and M. Kläui, Perspective: Magnetic skyrmions- Overview of recent progress in an active research field, Journal of Applied Physics, 26 Decem- ber 2018, Vol. 124, https://doi.org/10.1063/1.5048972.Fert, A., Cros, V. and Sampaio, J., Skyrmions on the track, Nature Nanotech 8, 152-156 (2013), https://doi.org/10.1038/nnano.2013.29Naoto Nagaosa and Yoshinori Tokura, Topological properties and dynamics of magnetic skyrmions, Nature Nanotech 8, 899-911 (2013), https://doi.org/10.1038/nnano.2013. 243Stancil, Daniel D. and Prabhakar, Alok Spin Waves: Theory and Applications, 2009, Springer, https://doi.org/10.1007/978-1-4419-8087-9Sara Guerrero Suárez, Anisotropía de la susceptibilidad magnética en crista- les naturales de hematites, Universidad Complutense de Madrid, 2015, https: //www.fundaciongarciasineriz.es/wp-content/uploads/attachments/xxii_ a082016_guerrero.pdfMichel Petitjean, Chiral mixtures, J. Math. Phys. 43, 4147?4157 (2002), https://doi.org/ 10.1063/1.1484559Michel Petitjean, Extreme asymmetry and chirality. A challenging quantification, Sym- metry: Culture and Science 2020, 31[4], 439-447, https://journal-scs.symmetry.hu/ abstract/?pid=817Mario Reis, Fundamentals of Magnetism, Academic Press 2013 Elsevier Inc., https://doi. org/10.1016/C2012-0-02644-0T. Holstein and H. Primakoff, Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet, Phys. Rev. 102(5), 1217(1958).Alex Povilus, Zeeman Effect, Physics 441- Fall 2003, December 20-2003, https://physlab. lums.edu.pk/images/c/c5/Zeeman2.pdfBörge Göbel, Ingrid Mertig, Oleg A. Tretiakov, Beyond skyrmions: Review and perspectives of alternative magnetic quasiparticles, Physics Reports, 12 February 2021, Vol. 895, pags. 1-28, https://doi.org/10.1016/j.physrep.2020.10.001Hwei P. Hsu, Análisis de Fourier. Addison-Wesley Iberoamericana, 1987.Michael Cottam, Linear and Nonlinear Spin Waves in Magnetic Films and Su- perlattices, World Scientific Publishing Company, 1994, https://www.amazon.com/ LINEAR-NONLINEAR-WAVES-MAGNETIC-SUPERLATTICES/dp/981021006XDivinskiy, Boris, Spin-wave dynamics driven by spin-orbit torque, 2020, Westfälische Wilhelms-Universität Münster. https://www.uni-muenster.de/imperia/md/content/ physik_ap/demokritov/abschlussarbeiten/boris_thesis.pdfGurevich, A.G. and Melkov, G.A. Magnetization Oscillations and Waves, Taylor & Fran- cis,1996, https://books.google.com.co/books?id=YgQtSvFIvFQC.Sayantika Bhowal, S. Satpathy, Pratik Sahu, Magnetic Skyrmions in Condensed Matter Physics, STUDENT JOURNAL OF PHYSICS, 21 August 2020, Vol. 8, https://www.iopb.res.in/ ~sjp/82final/f1.pdfAndrey Komarov, Konstantin Komarov, Alioune Niang, and François Sanchez, Nature of soliton interaction in fiber lasers with continuous external optical injection, phys. rev. A, 24 January 2014, Vol. 89, https://journals.aps.org/pra/abstract/10.1103/PhysRevA. 89.013833.Yan Zhou, Magnetic skyrmions: intriguing physics and new spintronic device concepts, Natio- nal Science Review, 08 October 2018, Vol. 6, pags. 210-212, https://doi.org/10.1093/ nsr/nwy109R. Tomasello, E. Martinez, R. Zivieri, L. Torres, M. Carpentieri and G. Finocchio, A strategy for the design of skyrmion racetrack memories, Scientific Reports, 29 October 2014, Vol. 4, https://doi.org/10.1038/srep06784Xichao Zhang, G. P. Zhao, Hans Fangohr, J. Ping Liu, W. X. Xia, J. Xia and F. J. Mor- van, Skyrmion-skyrmion and skyrmion-edge repulsions in skyrmion-based racetrack memory, Scientific Reports, 6 January 2015, Vol. 5, https://doi.org/10.1038/srep07643Jan Müller, Shape-dependence of the barrier for skyrmions on a two-lane racetrack, SPIE DIGI- TAL LIBRARY, 26 September 2016, Vol. 9931, https://doi.org/10.1117/12.2237624Bruno Barton-Singer, Calum Ross, Bernd J. Schroers, Magnetic Skyrmions at Critical Coupling, Communications in Mathematical Physics, 20 January 2020, Vol. 375, https://doi.org/ 10.1007/s00220-019-03676-1Sebastian Gliga, Ultrafast vortex core dynamics investigated by finite-element micromag- netic simulations, Forschungszentrums Jülich, 2009, vol. 79, https://doi.org/10.1007/ 978-1-4419-8087-9A O Leonov,T L Monchesky, N Romming, A Kubetzka, A N Bogdanov and R Wiesendanger, The properties of isolated chiral skyrmions in thin magnetic films, New Journal of Physics , 31 May 2016, doi:10.1088/1367-2630/18/6/065003SkyrmionPropiedades magnéticasAnisotropía magnéticaInteracción Zee- manInteracción de Dzyaloshinski-MoriyaInteracción dipolar magnéticaSkyrmionMagnetic propertiesMagnetic AnisotropyZee-man InteractionDzyaloshinski-Moriya interactionMagnetic dipole 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