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Related papers: Stability of axisymmetric chiral skyrmions

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Chiral magnetic skyrmions are topological solitons, of significant physical interest, arising in ferromagnets described by a micromagnetic energy including a chiral (Dzyaloshinskii-Moriya) interaction term. We show that for small chiral…

Analysis of PDEs · Mathematics 2020-04-03 Stephen Gustafson , Li Wang

We consider the Landau-Lifshitz equation for the spin torque oscillator - a uniaxial ferromagnet in an external magnetic field with polarised spin current driven through it. In the absence of the Gilbert damping, the equation turns out to…

Pattern Formation and Solitons · Physics 2020-04-22 I. V. Barashenkov , Alexander Chernyavsky

Two recently developed methods of modelling chiral magnetic soliton elliptical instability are applied in two novel scenarios, the tilted ferromagnetic phase of chiral magnets dominated by easy-plane anisotropy and the general case of the…

Mesoscale and Nanoscale Physics · Physics 2024-01-10 Bruno Barton-Singer

We report tailed skyrmions -- a new class of stable soliton solutions of the 2D chiral magnet model. Tailed skyrmions have elongated shapes and emerge in a narrow range of fields near the transition between the spin spirals and the…

Mesoscale and Nanoscale Physics · Physics 2023-04-20 Vladyslav M. Kuchkin , Nikolai S. Kiselev , Pavel F. Bessarab

We examine skyrmionic field configurations on a spherical ferromagnet with large normal anisotropy. Exploiting variational concepts of angular momentum we find a new family of localized solutions to the Landau-Lifshitz equation that are…

Mathematical Physics · Physics 2019-10-02 Christof Melcher , Zisis N. Sakellaris

Magnetic skyrmions, topological spin textures observed in chiral magnets, have attracted huge interest due to their applications in the field of spintronics. In this work we study the stability of circular isolated skyrmions in…

Strongly Correlated Electrons · Physics 2019-03-06 S. A. Osorio , M. B. Sturla , H. D. Rosales , D. C. Cabra

We examine micromagnetic pattern formation in chiral magnets, driven by the competition of Heisenberg exchange, Dzyaloshinskii-Moriya interaction, easy-plane anisotropy and thermodynamic Landau potentials. Based on equivariant bifurcation…

Mathematical Physics · Physics 2020-10-28 Xinye Li , Christof Melcher

Topological magnetic solitons, such as skyrmions, exhibit intriguing particle-like properties that make them attractive for fundamental research and practical applications. While many magnetic systems can host skyrmions as statically stable…

Strongly Correlated Electrons · Physics 2025-01-22 Vladyslav M. Kuchkin , Bruno Barton-Singer , Pavel F. Bessarab , Nikolai S. Kiselev

Using a general framework, interaction potentials between chiral magnetic solitons in a planar system with a tilted external magnetic field are calculated analytically in the limit of large separation. The results are compared to previous…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Bruno Barton-Singer , Bernd J. Schroers

This work studies the symmetries, the associated momentum map, and relative equilibria of a mechanical system consisting of a small axisymmetric magnetic body-dipole in an also axisymmetric external magnetic field that additionally exhibits…

Symplectic Geometry · Mathematics 2013-11-12 Lyudmila Grigoryeva , Juan-Pablo Ortega , Stanislav Zub

We examine lower order perturbations of the harmonic map prob- lem from $\mathbb{R}^2$ to $\mathbb{S}^2$ including chiral interaction in form of a helicity term that prefers modulation, and a potential term that enables decay to a uniform…

Analysis of PDEs · Mathematics 2016-11-08 Lukas Döring , Christof Melcher

Skyrmions represent topologically stable field configurations with particle-like properties. We used neutron scattering to observe the spontaneous formation of a two-dimensional lattice of skyrmion lines, a type of magnetic vortices, in the…

Strongly Correlated Electrons · Physics 2015-05-13 S. Mühlbauer , B. Binz , F. Jonietz , C. Pfleiderer , A. Rosch , A. Neubauer , R. Georgii , P. Böni

The uniform motion of chiral magnetic skyrmions induced by a spin-transfer torque displays an intricate dependence on the skyrmions' topological charge and shape. We reveal surprising patterns in this dependence through simulations of the…

We show that competition between local interactions in monoaxial chiral magnets provides the stability of two-dimensional (2D) solitons with identical energies but opposite topological charges. These skyrmions and antiskyrmions represent…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Vladyslav M. Kuchkin , Nikolai S. Kiselev

We report a microscopic mechanism for stabilization of biskyrmions in nature by investigating a minimal classical spin lattice model with nearest neighbour ferromagnetic Heisenberg exchange and static chiral magnetic interaction on the…

Strongly Correlated Electrons · Physics 2024-05-31 Deepak S. Kathyat , Pinaki Sengupta

We present a comprehensive micromagnetic model of isolated axisymmetric skyrmions in magnetic multilayers with perpendicular anisotropy. Most notably, the essential role of the internal dipolar field is extensively considered with a minimum…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 William Legrand , Nathan Ronceray , Nicolas Reyren , Davide Maccariello , Vincent Cros , Albert Fert

Nanoscale magnetic skyrmions have interesting static and transport properties that make them candidates for future spintronic devices. Control and manipulation of the size and behavior of skyrmions is thus of crucial importance. Using a…

Mesoscale and Nanoscale Physics · Physics 2017-12-13 Steven S. -L. Zhang , C. Phatak , A. K. Petford-Long , O. G. Heinonen

Micromagnetic calculations demonstrate a peculiar evolution of non-axisymmetric skyrmions driven by an applied magnetic field in confined helimagnets with longitudinal modulations. We argue that these specific solitonic states can be…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 A. O. Leonov , J. C. Loudon , A. N. Bogdanov

Magnetic skyrmions are topologically nontrivial spin configurations that possess particle-like properties. Earlier research was mainly focused on a specific type of skyrmion with topological charge Q = -1. However, theoretical analyses of…

The magnetic skyrmion structure can be formed in the chiral magnets (CMs) with strong Dzyaloshinskii-Moriya interactions. In this work, we propose a way of artificially tailoring the topological details of the skyrmion such as its radial…

Mesoscale and Nanoscale Physics · Physics 2016-10-06 Yin-Yan Zhang , Rui Zhu
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