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We discuss a mass-lumped midpoint scheme for the numerical approximation of the Landau-Lifshitz-Gilbert equation, which models the dynamics of the magnetization in ferromagnetic materials. In addition to the classical micromagnetic field…

Numerical Analysis · Mathematics 2022-03-15 Giovanni Di Fratta , Carl-Martin Pfeiler , Dirk Praetorius , Michele Ruggeri

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 investigate the non-equilibrium dynamics of spherical spin models with two-spin interactions. For the exactly solvable models of the d-dimensional spherical ferromagnet and the spherical Sherrington-Kirkpatrick model the asymptotic…

Statistical Mechanics · Physics 2015-06-25 W. Zippold , R. Kuehn , H. Horner

We study the dynamics of skyrmions in Dzyaloshinskii-Moriya materials with easy-axis anisotropy. An important link between topology and dynamics is established through the construction of unambiguous conservation laws obtained earlier in…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Stavros Komineas , Nikos Papanicolaou

Chirality causes diverse phenomena in nature such as the formation of biological molecules, antimatters, non-collinear spin structures, and magnetic skyrmions. The chirality in magnetic materials is often caused by the noncollinear exchange…

Materials Science · Physics 2019-04-10 Duck-Ho Kim , Sang-Cheol Yoo , Dae-Yun Kim , Byoung-Chul Min , Sug-Bong Choe

A detailed analytic and numerical analysis of the interaction between two bubble skyrmions has been carried out. Results from micromagnetic calculations show a strong dependence of the parameters of the skyrmion magnetic profile as a…

Mesoscale and Nanoscale Physics · Physics 2019-07-29 M. A. Castro , D. Mancilla-Almonacid , J. A. Valdivia , S. Allende

We study the geometrical conditions for stabilizing magnetic skyrmions in cylindrical nanostrips and nanotubes of ferromagnetic materials with chiral interactions. We obtain the low-temperature equilibrium state of the system implementing a…

Mesoscale and Nanoscale Physics · Physics 2020-08-28 Dimitris Kechrakos , Lida Tzannetou , Aristotelis Patsopoulos

Reliable control of skyrmion lifetime is essential for realizing spintronic devices, yet the role of higher-order exchange - which can lead to skyrmion stabilization - remains largely unexplored. Here we calculate lifetimes of isolated…

Magnetic skyrmions are particle-like topological excitations that recently generated much interest as candidates for future spintronic devices based on skyrmion small size, enhanced topological stability, and/or mutual interaction. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-08-28 Thomas T. J. Mutter , Andrey O. Leonov , Katsuya Inoue

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

We report on a new source of in-plane anisotropy in nanomagnets due to the presence of Dzyaloshinskii-Moriya interaction (DMI). This anisotropy depends on the shape of the magnet, and is orthogonal to the demagnetization shape anisotropy.…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 M. Cubukcu , J. Sampaio , K. Bouzehouane , D. Apalkov , A. V. Khvalkovskiy , V. Cros , N. Reyren

Synthetic antiferromagnets have great potential as skyrmion carriers in which new properties are expected for these spin textures, owing to changed magnetostatics and the absence of net topological charge. Here we numerically simulate the…

Mesoscale and Nanoscale Physics · Physics 2023-09-08 Eloi Haltz , Christopher E. A. Barker , Christopher H. Marrows

Since the early 1960's, the discovery of Dzyaloshinskii-Moriya interaction (DMI) helped to explain the physical mechanisms behind certain magnetic phenomena, such as net moment in antiferromagnets, or enhanced anisotropy field from heavy…

Materials Science · Physics 2023-05-04 Albert Fert , Mairbek Chshiev , André Thiaville , Hongxin Yang

The non-equilibrium spin dynamics of a one-dimensional system of repulsively interacting fermions is studied by means of density-matrix renormalization-group simulations. We focus on the short-time decay of the oscillation amplitudes of the…

Strongly Correlated Electrons · Physics 2012-06-20 Sebastiano Peotta , Davide Rossini , Pietro Silvi , G. Vignale , Rosario Fazio , Marco Polini

We studied the non-equilibrium short-time dynamics of a spin-1/2 chain with Dzyaloshinskii-Moriya interactions after a sudden quench by a transverse field. We found that inhomogeneous spin-spirals with opposite chiralities propagate from…

Strongly Correlated Electrons · Physics 2011-08-26 E. Solano-Carrillo , R. Franco , J. Silva-Valencia

Synthetic antiferromagnetic (SAF) skyrmions are nanoscale composite textures that exhibit high-speed, Hall-free current-driven motion and recently demonstrated self-propulsion. These remarkable properties rely on the stability of the SAF…

Mesoscale and Nanoscale Physics · Physics 2025-12-22 Rai M. Menezes , Clecio C. de Souza Silva

The dynamic behavior and stabilization of skyrmions in magnetic multilayers are critical for advancing spintronic and magnonic technologies. In our study, we investigate the static and dynamic properties of $[Re/Co(d_{Co})/Pt]_{20}$…

We explore magnetic-field-driven chaos in magnetic skyrmions. Oscillating magnetic fields induce nonlinear dynamics in skyrmions, arising from the coupling of the secondary gyrotropic mode with a non-uniform, breathing-like mode. Through…

Materials Science · Physics 2023-09-11 Gyuyoung Park , Sang-Koog Kim

Dzyaloshinskii-Moriya interaction (DMI) plays a crucial role in stabilizing the exotic topologically stable skyrmion spin textures in the noncentrosymmetric crystals. The recent discovery of biskyrmions and skyrmions in the globally…

Chiral skyrmion states exist in non - centrosymmetric magnetic crystals as a consequence of the asymmetric exchange Dzyaloshinskii-Moriya interactions that destroy the homogeneous magnetic state and generally lead to twisted incommensurate…

Mesoscale and Nanoscale Physics · Physics 2014-06-10 A. O. Leonov
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