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Stripe skyrmions and skyrmion crystals [PDF]
Communications Physics, 2020 Abstract Skyrmions are important in quantum field theory and information technology for being topological solitons and for their attractive applications. Magnetic skyrmions are believed to be circular and stripy spin textures accompanied skyrmion crystals (SkXs) termed spiral/helical/cycloid orders have zero skyrmion number.
X. R. Wang, X. C. Hu, H. T. Wu
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Nonexistence of Skyrmion–Skyrmion and Skyrmion–anti-Skyrmion static equilibria [PDF]
Journal of Mathematical Physics, 2011 We consider classical static Skyrmion–anti-Skyrmion and Skyrmion–Skyrmion configurations, symmetric with respect to a reflection plane, or symmetric up to a G-parity transformation, respectively. We show that the stress tensor component completely normal to the reflection plane, and hence its integral over the plane, is negative definite or positive ...
Gibbons, GW, Warnick, CM, Wong, WW
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Skyrmion–anti-Skyrmion chains [PDF]
Journal of Physics A: Mathematical and Theoretical, 2009 Static axially symmetric sphaleron-type solutions describing chains of interpolating Skyrmion--anti-Skyrmions have been constructed numerically. The configurations are characterized by two integers n and m, where $\pm n$ are the winding numbers of the constituent Skyrmion and anti-Skyrmion and the second integer m defines type of the solution, it has ...
Shnir, Ya., Tchrakian, D. H.
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Journal of Physics: Condensed Matter, 2021 Abstract We study the impact of an exchange-reducing defect on a skyrmion in a thin film of finite thickness. Attraction of the skyrmion to a defect is demonstrated in a lattice model by computing the micromagnetic energy accounting for the exchange, Dzyaloshinskii–Moriya interaction, magnetic anisotropy, and dipole–dipole coupling ...
Amel Derras-Chouk, Eugene M Chudnovsky
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Skyrmion-skyrmion and skyrmion-edge repulsions in skyrmion-based racetrack memory [PDF]
Scientific Reports, 2015 Magnetic skyrmions are promising for building next-generation magnetic memories and spintronic devices due to their stability, small size and the extremely low currents needed to move them. In particular, skyrmion-based racetrack memory is attractive for information technology, where skyrmions are used to store information as data bits instead of ...
Zhang, Xichao +6 more
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Low energy Skyrmion-Skyrmion scattering [PDF]
Physical Review D, 1994 6 ...
Gisiger, T., Paranjape, M. B.
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Journal of Mathematical Physics, 2000 A systematic numerical study of the classical solutions to the combined system consisting of the Georgi–Glashow model and the SO(3) gauged Skyrme model is presented. The gauging of the Skyrme system permits a lower bound on the energy, so that the solutions of the composite system can be topologically stable. The solutions feature some very interesting
Kleihaus, B. +2 more
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Journal of Physics A: Mathematical and Theoretical, 2023 Abstract A new method is introduced to construct approximations to Skyrmions that are explicit rational functions of the spatial Cartesian coordinates. The scheme uses ADHM data of a Yang–Mills instanton to produce a Skyrmion with a baryon number that is equal to the instanton number.
Harland, D., Sutcliffe, P.M.
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Skyrmion–skyrmion interaction in a magnetic film [PDF]
Journal of Physics: Condensed Matter, 2020 Interaction of two skyrmions stabilized by the ferromagnetic exchange, Dzyaloshinskii-Moriya interaction (DMI), and external magnetic field has been studied numerically on a 2D lattice of size large compared to the separation, $d$, between the skyrmions. We show that two skyrmions of the same chirality (determined by the symmetry of the crystal) repel.
D Capic, D A Garanin, E M Chudnovsky
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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2011 The baby Skyrme model is a (2+1)-dimensional analogue of the Skyrme model, in which baryons are described by topological solitons. We introduce a version of the baby Skyrme model in which the global O (3) symmetry is broken to the dihedral group D N ...
Jäykkä, J. +2 more
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