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Related papers: Chiral skyrmions of large radius

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Chiral skyrmions are stable particle-like solutions of the Landau-Lifshitz equation for ferromagnets with the Dzyaloshinskii-Moriya (DM) interaction, characterized by a topological number. We study the profile of an axially symmetric…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Stavros Komineas , Christof Melcher , Stephanos Venakides

The profile and energy of chiral skyrmions, found in magnetic materials with the Dzyaloshinskii-Moriya interaction, can be approximated by formulae obtained through asymptotic analysis in the limits of small and large skyrmion radius. Using…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 Stavros Komineas , Christof Melcher , Stephanos Venakides

We examine the stability of vortex-like configuration of magnetization in magnetic materials, so-called the magnetic skyrmion. These correspond to critical points of the Landau-Lifshitz energy with the Dzyaloshinskii-Moriya (DM)…

Analysis of PDEs · Mathematics 2023-07-26 Slim Ibrahim , Ikkei Shimizu

We re-examine the internal structure of skyrmioniums stabilized in quasi-two-dimensional chiral magnets with easy-axis uniaxial anisotropy. Skyrmioniums are particle-like states of two nested skyrmions with opposite polarities contributing…

Mesoscale and Nanoscale Physics · Physics 2024-04-17 Kaito Nakamura , Andrey O. Leonov

A magnetic skyrmion is a topological object consisting of an inner domain, an outer domain, and a wall that separates the two domains. The skyrmion size and wall width are two fundamental quantities of a skyrmion that depend sensitively on…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 X. S. Wang , H. Y. Yuan , X. R. Wang

Magnetic skyrmions widely exist in a diverse range of magnetic systems, including chiral magnets with a non-centrosymmetric structure characterized by Dzyaloshinkii-Moriya interaction~(DMI). In this study, we propose a generalized…

Numerical Analysis · Mathematics 2023-04-13 Panchi Li , Shuting Gu , Jin Lan , Jingrun Chen , Weiqing Ren , Rui Du

We have performed micromagnetic simulations to study the formation of skyrmions in ferromagnetic elements with different shapes having perpendicular anisotropy. The strength of Dzyaloshinskii-Moriya interaction (D) and uniaxial anisotropy…

Mesoscale and Nanoscale Physics · Physics 2021-10-06 Aroop Kumar Behera , Swapna Sindhu Mishra , Sougata Mallick , Braj Bhusan Singh , Subhankar Bedanta

Extended numerical simulations enable to ascertain the diffusive behavior at finite temperatures of chiral walls and skyrmions in ultra-thin model Co layers exhibiting symmetric - Heisenberg - as well as antisymmetric -…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 Jacques Miltat , Stanislas Rohart , André Thiaville

Magnetic skyrmions have attracted considerable attention recently for their huge potential in spintronic applications. Generally skyrmions are big compared to the atomic lattice constant, which allows for the Ginzburg-Landau type…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Shi-Zeng Lin , Satoru Hayami

Stability boundaries of the skyrmion lattice in non-centrosymmetric bulk ferromagnets with the Dzyaloshinskii-Moriya interaction in external magnetic field are discussed. We compare the classical energies of the spin configuration of the…

Strongly Correlated Electrons · Physics 2024-12-05 S. V. Grigoriev , V. E. Timofeev , D. N. Aristov

We find closed-form solution of the Euler equation for a chiral magnet in terms of a skyrmion or a meron depending on the relative strengths of magnetic anisotropy and magnetic field. We show that the relevant length scales for these…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Sandip Bera , Sudhansu S. Mandal

We examine the current-induced dynamics of a skyrmion that is subject to both structural and bulk inversion asymmetry. There arises a hybrid type of Dzyaloshinskii-Moriya interaction (DMI) which is in the form of a mixture of interfacial…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Kyoung-Whan Kim , Kyoung-Woong Moon , Nico Kerber , Jonas Nothhelfer , Karin Everschor-Sitte

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

Magnetic skyrmions have been the subject of extensive experimental studies in ferromagnetic thin films and multilayers, revealing a diversity in their size, stability and internal structure. While the orthodox skyrmion theory focuses on the…

Materials Science · Physics 2020-01-22 Anne Bernand-Mantel , Cyrill B. Muratov , Thilo M. Simon

When magnetic skyrmions decay, their size in real space decreases in a finite time before they eventually collapse. We construct an effective continuum model and use its dynamics to describe the shrinking behavior of skyrmions before they…

Mesoscale and Nanoscale Physics · Physics 2025-05-13 Frederik Austrup , Wolfgang Häusler , Michael Lau , Michael Thorwart

It has been clarified that charged excitation known as a skyrmion exists around the ferromagnetic ground state at the Landau level filling factor $\nu=1/q$, where $q$ is an odd integer. An infinite sized skyrmion is realized in the absence…

Condensed Matter · Physics 2009-10-31 Daijiro Yoshioka

We find numerically skyrmionic textures with skyrmion number Q=0 in ferromagnets with the Dzyaloshinskii-Moriya interaction and perpendicular anisotropy. These have the form of a skyrmion-antiskyrmion pair and may be called chiral droplets.…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Naveen Sisodia , Pranaba Kishor Muduli , Nikos Papanicolaou , Stavros Komineas

Breathing oscillations of skyrmions in chiral antiferromagnets can be excited by a temporal modification of the Dzyaloshinskii-Moriya interaction or magnetocrystalline anisotropy strength. We employ an adiabatic approximation and derive a…

Mesoscale and Nanoscale Physics · Physics 2022-03-09 S. Komineas , P. E. Roy

We consider a ferromagnetic nanowire and we focus on an asymptotic regime where the Dzyaloshinskii-Moriya interaction is taken into account. First we prove a dimension reduction result via $\Gamma$-convergence that determines a limit…

Analysis of PDEs · Mathematics 2023-05-10 Raphaël Côte , Radu Ignat

The antisymmetric Dzyaloshinskii-Moriya interaction (DMI) plays a decisive role for the stabilization and control of chirality of skyrmion textures in various magnetic systems exhibiting a noncentrosymmetric crystal structure. A less…

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