{"id":220,"date":"2023-07-14T19:11:31","date_gmt":"2023-07-14T17:11:31","guid":{"rendered":"https:\/\/webs.uab.cat\/simmas\/?page_id=220"},"modified":"2025-10-17T20:29:24","modified_gmt":"2025-10-17T18:29:24","slug":"research-line-micromagnetism","status":"publish","type":"page","link":"https:\/\/webs.uab.cat\/simmas\/research-line-micromagnetism\/","title":{"rendered":"Micro- and nano-magnetism at SiMMaS"},"content":{"rendered":"\n<h2 class=\"wp-block-heading alignwide\">Some topics developed at SiMMaS<\/h2>\n\n\n\n<div class=\"wp-block-group alignwide\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<details class=\"wp-block-mamaduka-toggles alignwide wp-block-toggles\"><summary><strong><em>Skyrmions<\/em><\/strong><\/summary><div class=\"wp-block-toggles__content\">\n<details class=\"wp-block-mamaduka-toggles wp-block-toggles\"><summary><strong><em>Transport of skyrmions on racetracks. <\/em><\/strong><\/summary><div class=\"wp-block-toggles__content\">\n<p>Magnetic skyrmions can be considered as magnetic bits due to their nanometric size and topologically protected stability. We have studied the dynamics of such skyrmions in racetrack geometries and, in general, in confined geometries. Analytical expressions for the trajectories of skyrmions in confined geometries (including long tracks and square samples) when driven by polarised electric currents. The force exerted by the borders is derived as a function of the material parameters (anisotropy, Dzyaloshinskii-Moriya, and exchange constants) and incorporated in the equation of motion of the skyrmions.<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"120\" src=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2023\/07\/medium-1-2.png\" alt=\"\" class=\"wp-image-231\" srcset=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2023\/07\/medium-1-2.png 500w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2023\/07\/medium-1-2-300x72.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><figcaption class=\"wp-element-caption\">Trajectories for a skyrmion with squared borders, for the case of ac driving current of different values of frequencies. A resonance effect is seen in the third picture. The value of the driving current is the same in all cases<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"422\" height=\"500\" src=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/medium.png\" alt=\"\" class=\"wp-image-382\" srcset=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/medium.png 422w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/medium-253x300.png 253w\" sizes=\"auto, (max-width: 422px) 100vw, 422px\" \/><figcaption class=\"wp-element-caption\">Trajectories of a rigid skyrmion for\u00a0different driving currents and borders.<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<p>Skyrmions, as bits of information, can be transported along nanoracetracks. However, temperature, defects, and\/or granularity can produce diffusion, pinning, etc. These effects may cause undesired errors in information transport may compromise the feasibility of the device. We have performed simulations of a realistic system where both the (room) temperature and sample granularity are taken into account. Key feasibility magnitudes, such as the success probability of a skyrmion traveling a given distance along the racetrack, are calculated. The model proposed is based on the Fokker\u2013Planck equation resulting from Thiele&#8217;s rigid model for skyrmions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized is-style-default\"><img loading=\"lazy\" decoding=\"async\" width=\"1000\" height=\"420\" src=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2023\/09\/d3na00464c1.gif\" alt=\"\" class=\"wp-image-250\" \/><\/figure>\n\n\n\n<p>Defects are unavoidable in real materials. Defects, either intrinsic or artificially incorporated, can alter the material properties. In the particular case of skyrmionic ferromagnetic materials, defects modify the stability and dynamics of the skyrmions. These magnetic structures have aroused great interest due to their potential as information carriers. Hence, the knowledge and control of the influence of defects on skyrmions are essential for their use in applications, such as magnetic memories or information mobility. We have studied how these defects affect the mobility of skyrmions and have also studied different ways to model them.<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:66.66%\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"676\" src=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge4-1-1024x676.gif\" alt=\"\" class=\"wp-image-398\" srcset=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge4-1-1024x676.gif 1024w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge4-1-300x198.gif 300w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge4-1-768x507.gif 768w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge4-1-1536x1013.gif 1536w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge4-1-2048x1351.gif 2048w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge4-1-1200x792.gif 1200w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge4-1-1980x1306.gif 1980w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Dynamics of skyrmions with different types of defects (attractive-repulsive) and different magnitudes of driving currents.<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:33.33%\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"609\" src=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge2-1024x609.png\" alt=\"\" class=\"wp-image-385\" srcset=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge2-1024x609.png 1024w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge2-300x178.png 300w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge2-768x456.png 768w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge2-1200x713.png 1200w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge2.png 1393w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"720\" height=\"177\" src=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/Imatge6.gif\" alt=\"\" class=\"wp-image-400\" \/><figcaption class=\"wp-element-caption\">Probability density of finding the centre of a skyrion along three racetracks in which a random distribution of defects with different &#8220;intensities&#8221; has been considered.<br><\/figcaption><\/figure>\n\n\n\n<p>More information: <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/doi.org\/10.1103\/PhysRevB.94.184104\">Analytical trajectories of skyrmions in confined geometries: Skyrmionic racetracks and nano-oscillators<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/pubs.rsc.org\/en\/content\/articlelanding\/2019\/nr\/c9nr02171j\/unauth\">Accelerating, guiding, and compressing skyrmions by defect rails\u2020<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/journals.aps.org\/prb\/abstract\/10.1103\/PhysRevB.101.140404\">Deterministic approach to skyrmionic dynamics at nonzero temperatures: Pinning sites and racetracks<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/pubs.aip.org\/aip\/apm\/article\/10\/1\/010702\/2834867\">Defect modeling in skyrmionic ferromagnetic systems<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/pubs.rsc.org\/en\/content\/articlelanding\/2023\/na\/d3na00464c\">Survival of skyrmions along granular racetracks at room temperature<\/a><\/li>\n<\/ul>\n<\/div><\/details>\n\n\n\n<details class=\"wp-block-mamaduka-toggles wp-block-toggles\"><summary><strong><em>Generation of skyrmions by template imprinting<\/em><\/strong><\/summary><div class=\"wp-block-toggles__content\">\n<p>Magnetic skyrmions are promising candidates as information carriers in new generation magnetic memories. The physical conditions for nucleating and stabilizing skyrmions depend largely on many parameters such as temperature or the type of materials. We have demonstrate how skyrmions can be imprinted in ultrathin ferromagnetic films, either individually and also in large numbers by bringing a magnetic nanostructured template close to the film. <\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"226\" src=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2023\/07\/133103_1_f1.jpeg\" alt=\"\" class=\"wp-image-221\" srcset=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2023\/07\/133103_1_f1.jpeg 700w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2023\/07\/133103_1_f1-300x97.jpeg 300w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><figcaption class=\"wp-element-caption\">Sketch of the proposed procedure for imprinting skyrmions. A magnetic template is approached to an initially ferromagnetic (FM) thin film (left); under the appropriate conditions, a lattice of skyrmions is nucleated (center) and stabilized when the template, which remains unaffected, is removed away (right).<\/figcaption><\/figure>\n\n\n\n<p>More Information<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/pubs.aip.org\/aip\/apl\/article\/107\/13\/133103\/28573\/\" target=\"_blank\" rel=\"noreferrer noopener\">Imprinting skyrmions in thin films by ferromagnetic and superconducting templates<\/a><\/li>\n<\/ul>\n<\/div><\/details>\n<\/div><\/details>\n\n\n\n<details class=\"wp-block-mamaduka-toggles alignwide wp-block-toggles\"><summary><strong><em>Hybrid Systems FM-SC<\/em><\/strong><\/summary><div class=\"wp-block-toggles__content\">\n<details class=\"wp-block-mamaduka-toggles wp-block-toggles\"><summary><strong><em>Magnetic multistates<\/em><\/strong><\/summary><div class=\"wp-block-toggles__content\">\n<p>We have developed simulations for accounting for the interaction of a FM disk and a superconducting disk. The interaction is accounted for by solving simultaneously the Brown and London equations. We have discussed the effect of the different parameters on the results and some possible applications such as multivalued logic, storage, and skyrmionic metamaterials.<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"266\" src=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2024\/03\/fmsc.png\" alt=\"\" class=\"wp-image-265\" style=\"width:462px;height:auto\" srcset=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2024\/03\/fmsc.png 500w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2024\/03\/fmsc-300x160.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><figcaption class=\"wp-element-caption\">Sketch of the studied sytem and the possible magnetic structures present in the ferromagnetic layer. During a hysteresis loop, the magnetic state of the ferromagnet can change from one state to the other, being hihgly influcence by the presence of the superconducting layer.<\/figcaption><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"191\" src=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/medium-3.png\" alt=\"\" class=\"wp-image-393\" srcset=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/medium-3.png 500w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/medium-3-300x115.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><figcaption class=\"wp-element-caption\">The averaged\u00a0z<br>\u00a0component of the normalised magnetisation during the hysteresis loop. The plot demonstrates de possibility (and the protocol needed) to change from one state to the other two.<\/figcaption><\/figure>\n<\/div>\n<\/div>\n\n\n\n<p>More information <\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/journals.aps.org\/prapplied\/abstract\/10.1103\/PhysRevApplied.17.034069\">Mutual Interaction between Superconductors and Ferromagnetic Skyrmionic Structures in Confined Geometries<\/a><\/li>\n<\/ul>\n<\/div><\/details>\n<\/div><\/details>\n\n\n\n<details class=\"wp-block-mamaduka-toggles alignwide wp-block-toggles\"><summary><strong><em>Random Phenomena in Magnetic Materials<\/em><\/strong><\/summary><div class=\"wp-block-toggles__content\">\n<p>Random phenomena are ubiquitous in magnetism. They include, for example: the random orientation of magnetization in an assembly of non-interacting isotropic magnets; arbitrary maze domain patterns in magnetic multilayers with out-of-plane anisotropy, random polarization, and chirality of an array of magnetic vortices; or Brownian skyrmion motion, among others. Usually, for memory applications, randomness needs to be avoided to reduce noise and enhance stability and endurance. However, these uncontrolled magnetic effects, especially when incorporated in magnetic random-access memories, offer a wide range of new opportunities in, e.g., stochastic computing, the generation of true random numbers, or physical unclonable functions for data security. Partial control of randomness leads to tunable probabilistic bits, which are of interest for neuromorphic computing and for new logic paradigms, as a first step toward quantum computing.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"520\" height=\"322\" src=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/m_070903_1_5.0055400.figures.online.f1.jpeg\" alt=\"\" class=\"wp-image-389\" srcset=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/m_070903_1_5.0055400.figures.online.f1.jpeg 520w, https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2025\/10\/m_070903_1_5.0055400.figures.online.f1-300x186.jpeg 300w\" sizes=\"auto, (max-width: 520px) 100vw, 520px\" \/><\/figure>\n\n\n\n<p>More information<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/pubs.aip.org\/aip\/apm\/article\/9\/7\/070903\/1078546\">Exploiting random phenomena in magnetic materials for data security, logics, and neuromorphic computing: Challenges and prospects<\/a><\/li>\n<\/ul>\n<\/div><\/details>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator alignwide has-alpha-channel-opacity\" \/>\n\n\n\n<h2 class=\"wp-block-heading alignwide\">Short questions\/answers about this topics<\/h2>\n\n\n\n<details class=\"wp-block-mamaduka-toggles alignwide wp-block-toggles\"><summary>What is a skyrmion?<\/summary><div class=\"wp-block-toggles__content\">\n<p>A magnetic skyrmion is a topologically stable, swirling spin texture in a magnetic material. It consists of a localized region where the magnetization vector rotates continuously, forming a vortex-like structure. Skyrmions exhibit unique properties and have potential applications in magnetic storage, spintronics, and information processing.<\/p>\n<\/div><\/details>\n\n\n\n<details class=\"wp-block-mamaduka-toggles alignwide wp-block-toggles\"><summary>Which is the Landau-Lifshitz-Gilbert equation?<\/summary><div class=\"wp-block-toggles__content\">\n<p>The Landau-Lifshitz-Gilbert (LLG) equation is a fundamental equation in magnetism that describes the dynamics of a magnetization distribution in a magnetic material. It is given by:<\/p>\n\n\n\n<p>d<strong>M<\/strong>\/d<em>t<\/em> = &#8211;<em>\u03b3<\/em><strong> M<\/strong> x <strong>H<\/strong><sub>eff<\/sub> + <em>\u03b1<\/em> <strong>M<\/strong> x (d<strong>M<\/strong>\/d<em>t<\/em>)<\/p>\n\n\n\n<p><strong>M<\/strong> represents the magnetization distribution, <em>t<\/em> is time, <em>\u03b3<\/em> is the gyromagnetic ratio, <strong>H<\/strong><sub>eff<\/sub> is the effective magnetic field, <em>\u03b1<\/em> is the damping parameter, and d<strong>M<\/strong>\/d<em>t<\/em> is the time derivative of the magnetization vector.<\/p>\n\n\n\n<p>The first term on the right-hand side represents the precession of the magnetization around the effective magnetic field, while the second term accounts for the damping effect, which tends to align the magnetization with the effective field.<\/p>\n\n\n<\/div><\/details>\n\n\n\n<div class=\"wp-block-media-text is-stacked-on-mobile\" style=\"grid-template-columns:20% auto\"><figure class=\"wp-block-media-text__media\"><img loading=\"lazy\" decoding=\"async\" width=\"211\" height=\"120\" src=\"https:\/\/webs.uab.cat\/simmas\/wp-content\/uploads\/sites\/420\/2023\/07\/baixa.png\" alt=\"\" class=\"wp-image-232 size-full\" \/><\/figure><div class=\"wp-block-media-text__content\">\n<p class=\"has-small-font-size\">Page under construction<\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Some topics developed at SiMMaS Short questions\/answers about this topics Page under construction<\/p>\n","protected":false},"author":1832,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-220","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/simmas\/wp-json\/wp\/v2\/pages\/220","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/webs.uab.cat\/simmas\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/webs.uab.cat\/simmas\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/webs.uab.cat\/simmas\/wp-json\/wp\/v2\/users\/1832"}],"replies":[{"embeddable":true,"href":"https:\/\/webs.uab.cat\/simmas\/wp-json\/wp\/v2\/comments?post=220"}],"version-history":[{"count":29,"href":"https:\/\/webs.uab.cat\/simmas\/wp-json\/wp\/v2\/pages\/220\/revisions"}],"predecessor-version":[{"id":401,"href":"https:\/\/webs.uab.cat\/simmas\/wp-json\/wp\/v2\/pages\/220\/revisions\/401"}],"wp:attachment":[{"href":"https:\/\/webs.uab.cat\/simmas\/wp-json\/wp\/v2\/media?parent=220"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}