SciPost Physics

SciPost Phys. 4, 027 (2018) · published 25 May 2018

• doi: 10.21468/SciPostPhys.4.5.027
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Abstract

Magnetic skyrmions and bubbles, observed in ferromagnetic thin films with perpendicular magnetic anisotropy, are topological solitons which differ by their characteristic size and the balance in the energies at the origin of their stabilisation. However, these two spin textures have the same topology and a continuous transformation between them is allowed. In the present work, we derive an analytical model to explore the skyrmion-bubble transition. We evidence a region in the parameter space where both topological soliton solutions coexist and close to which transformations between skyrmion and bubbles are observed as a function of the magnetic field. Above a critical point, at which the energy barrier separating both solutions vanishes, only one topological soliton solution remains, which size can be continuously tuned from micrometer to nanometer with applied magnetic field.

• Zaspel et al., Magnetic Chiral Solitons Stabilized by Oersted Field at a Thin-Film Nanocontact with Electric Current
  Ukr. J. Phys. 64, 933 (2019) [Crossref]
• Srivastava et al., Mapping different skyrmion phases in double wedges of Ta/FeCoB/TaOx trilayers
  Phys. Rev. B 100, 220401 (2019) [Crossref]
• Hu et al., Auto-oscillations for the coupling between breathing mode and chiral switching in magnetic skyrmions
  J. Phys. D: Appl. Phys. 54, 015005 (2021) [Crossref]
• Juge et al., Skyrmions in synthetic antiferromagnets and their nucleation via electrical current and ultra-fast laser illumination
  Nat Commun 13, 4807 (2022) [Crossref]
• Tan et al., Skyrmion generation from irreversible fission of stripes in chiral multilayer films
  Phys. Rev. Materials 4, 114419 (2020) [Crossref]
• Bernand-Mantel et al., A Quantitative Description of Skyrmions in Ultrathin Ferromagnetic Films and Rigidity of Degree $$\pm \,1$$ Harmonic Maps from $${\mathbb {R}}^2$$ to $${\mathbb {S}}^2$$
  Arch Rational Mech Anal 239, 219 (2021) [Crossref]
• Qvortrup et al., Study of skyrmions in ferromagnetic metallic superlattices using in situ Lorentz magnetic methods
  BIO Web Conf. 129, 29001 (2024) [Crossref]
• Legrand et al., Modeling the Shape of Axisymmetric Skyrmions in Magnetic Multilayers
  Phys. Rev. Applied 10, 064042 (2018) [Crossref]
• Staňo et al.,
  27, 155 (2018) [Crossref]
• Xie et al., Computational Search for Ultrasmall and Fast Skyrmions in the Inverse Heusler Family
  IEEE Trans. Magn. 56, 1 (2020) [Crossref]
• Mougel et al., Instability of skyrmions in magnetic fields
  116, 262406 (2020) [Crossref]
• Ourdani et al., Theoretical Investigation of Skyrmion Dynamics in Pt/Co/MgO Nanodots
  Materials 15, 7474 (2022) [Crossref]
• Aranda et al., Single Chiral Skyrmions in Ultrathin Magnetic Films
  Materials 11, 2238 (2018) [Crossref]
• Yu et al., Voltage-controlled skyrmion-based nanodevices for neuromorphic computing using a synthetic antiferromagnet
  Nanoscale Adv. 2, 1309 (2020) [Crossref]
• Bernand-Mantel et al., Unraveling the role of dipolar versus Dzyaloshinskii-Moriya interactions in stabilizing compact magnetic skyrmions
  Phys. Rev. B 101, 045416 (2020) [Crossref]
• Telegin et al., Dynamics of skyrmion textures in thin ferrimagnetic films
  Indian J Phys, (2024) [Crossref]
• Manchon et al., Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
  Rev. Mod. Phys. 91, 035004 (2019) [Crossref]
• Komineas et al., Chiral magnetic skyrmions across length scales
  New J. Phys. 25, 023013 (2023) [Crossref]
• Chen et al., Unveiling the Emergent Traits of Chiral Spin Textures in Magnetic Multilayers
  Advanced Science 9, 2103978 (2022) [Crossref]
• Mutter et al., Skyrmion instabilities and distorted spiral states in a frustrated chiral magnet
  Phys. Rev. B 100, 060407 (2019) [Crossref]
• Yang et al., Magnetic domain walls of the van der Waals material Fe3GeTe2
  2D Mater. 9, 025022 (2022) [Crossref]
• Saha et al., Formation of Néel-type skyrmions in an antidot lattice with perpendicular magnetic anisotropy
  Phys. Rev. B 100, 144435 (2019) [Crossref]
• Denker et al., Size and density control of skyrmions with picometer CoFeB thickness variations—observation of zero-field skyrmions and skyrmion merging
  J. Phys. D: Appl. Phys. 56, 495302 (2023) [Crossref]
• Mallick et al., Driving skyrmions in flow regime in synthetic ferrimagnets
  Nat Commun 15, 8472 (2024) [Crossref]
• Birch et al., Control of stripe, skyrmion and skyrmionium formation in the 2D magnet Fe3−xGeTe2 by varying composition
  2D Mater. 11, 025008 (2024) [Crossref]
• Gong et al., Optimizing skyrmionium movement and stability via stray magnetic fields in trilayer nanowire constructs
  Phys. Chem. Chem. Phys. 26, 4716 (2024) [Crossref]
• Berges et al., Size-dependent mobility of skyrmions beyond pinning in ferrimagnetic GdCo thin films
  Phys. Rev. B 106, 144408 (2022) [Crossref]
• Camosi et al., Self-organised stripe domains and elliptical skyrmion bubbles in ultra-thin epitaxial Au0.67Pt0.33/Co/W(110) films
  New J. Phys. 23, 013020 (2021) [Crossref]
• Denneulin et al., Visibility and Apparent Size of Néel-Type Magnetic Skyrmions in Fresnel Defocus Images of Multilayer Films
  27, 1356 (2021) [Crossref]
• Uzunova et al., Magnon Modes for a Magnetic Disc in a Cone Vortex State
  45, 92 (2019) [Crossref]
• Rana et al., Room-Temperature Skyrmions at Zero Field in Exchange-Biased Ultrathin Films
  Phys. Rev. Applied 13, 044079 (2020) [Crossref]
• Denneulin et al., Off-axis electron holography of Néel-type skyrmions in multilayers of heavy metals and ferromagnets
  Ultramicroscopy 220, 113155 113155 (2021) [Crossref]
• Hrabec et al., Synthetic chiral magnets promoted by the Dzyaloshinskii–Moriya interaction
  117, 130503 (2020) [Crossref]
• Barton et al., Radially dependent stray field signature of chiral magnetic skyrmions
  Phys. Rev. B 108, 104409 (2023) [Crossref]
• Camley et al., Consequences of the Dzyaloshinskii-Moriya interaction
  Surface Science Reports 78, 100605 100605 (2023) [Crossref]
• Wang et al., Efficient generation and deterministic annihilation of a single skyrmion via pure localized heating
  135, 143902 (2024) [Crossref]
• Hoffmann et al., Atomistic Perspective of Long Lifetimes of Small Skyrmions at Room Temperature
  Phys. Rev. Lett. 124, 247201 (2020) [Crossref]
• Thiaville et al.,
  , 1 (2021) [Crossref]
• Jia et al., Material systems for FM-/AFM-coupled skyrmions in Co/Pt-based multilayers
  Phys. Rev. Materials 4, 094407 (2020) [Crossref]
• Bernand-Mantel et al., Theory of magnetic field stabilized compact skyrmions in thin-film ferromagnets
  Phys. Rev. B 108, L161405 (2023) [Crossref]
• Cortés-Ortuño et al., Proposal for a micromagnetic standard problem for materials with Dzyaloshinskii–Moriya interaction
  New J. Phys. 20, 113015 (2018) [Crossref]
• Garnier et al., Topological superconductivity with deformable magnetic skyrmions
  Commun Phys 2, 126 (2019) [Crossref]
• Samardak et al., Topologically Nontrivial Spin Textures in Thin Magnetic Films
  Phys. Metals Metallogr. 123, 238 (2022) [Crossref]
• Lu et al., Analytic theory for Néel skyrmion size, accounting for finite film thickness
  Journal of Magnetism and Magnetic Materials 584, 171044 171044 (2023) [Crossref]
• Heil et al., Universality of annihilation barriers of large magnetic skyrmions in chiral and frustrated magnets
  Phys. Rev. B 100, 134424 (2019) [Crossref]
• Lim et al., Multifunctional oxides for topological magnetic textures by design
  J. Phys. D: Appl. Phys. 54, 093001 (2021) [Crossref]
• Kumar et al., Control of Skyrmion Chirality in Ta/Fe−Co−B/TaOx Trilayers by TaOx Oxidation and Fe−Co−B Thickness
  Phys. Rev. Applied 19, 024064 (2023) [Crossref]
• Zhu et al., Field-free transformations of topological spin textures in ferrimagnetic TbFeCo films
  124, 252401 (2024) [Crossref]
• Fillion et al., Gate-controlled skyrmion and domain wall chirality
  Nat Commun 13, 5257 (2022) [Crossref]