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Related papers: Path to collapse for an isolated N\'eel skyrmion

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Magnetic skyrmions are whirls in the magnetization whose topological winding number promises stability against thermal fluctuations and defects. They can only decay via singular spin configurations. We analyze the corresponding energy…

Strongly Correlated Electrons · Physics 2019-10-24 Benjamin Heil , Achim Rosch , Jan Masell

This paper explores the energy landscape of ferromagnetic multilayer heterostructures that feature magnetic skyrmions -- tiny whirls of spins with non-trivial topology -- in each magnetic layer. Such magnetic heterostructures have been…

Analysis of PDEs · Mathematics 2026-04-03 N. J. Dubicki , V. V. Slastikov , A. Bernand-Mantel , C. B. Muratov

We perform a direct comparison between Kramers' method in many dimensions -- i.e., Langer's theory -- adapted to magnetic spin systems, and a path sampling method in the form of forward flux sampling, as a means to compute collapse rates of…

Mesoscale and Nanoscale Physics · Physics 2020-03-31 L. Desplat , C. Vogler , J. -V. Kim , R. L. Stamps , D. Suess

The investigation of magnetic solitons often relies on numerical modeling to determine key features such as stability, annihilation, nucleation, and motion. However, as soliton sizes approach atomic length scales, the accuracy of these…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Matthew Copus , Ezio Iacocca

We observe metastable localized spin configurations with topological charges ranging from $Q=-3$ to $Q=2$ in a (Pt$_{0.95}$Ir$_{0.05}$)/Fe bilayer on Pd$(111)$ surface by performing spin dynamics simulations, using a classical Hamiltonian…

We consider multiskyrmion configurations in 2D ferromagnets with Dzyaloshinskii-Moriya (DM) interaction and the magnetic field, using the stereographic projection method. In the absence of DM interaction, $D$, and the field, $B$, the…

Strongly Correlated Electrons · Physics 2019-02-20 V. E. Timofeev , A. O. Sorokin , D. N. Aristov

We explore the interplay between topology and eigenmodes by changing the stabilizing mechanism of skyrmion lattices (skX). We focus on two prototypical ultrathin films hosting an hexagonal (Pd/Fe/Ir(111)) and a square (Fe/Ir(111)) skyrmion…

Mesoscale and Nanoscale Physics · Physics 2023-05-11 Louise Desplat , Bertrand Dupé

We investigate the topological change of a Belavin-Polyakov skyrmion under the action of a spin-polarized current. The dynamics is described by the Schr\"odinger equation for the electrons carrying the current coupled to the Landau-Lifshitz…

Mesoscale and Nanoscale Physics · Physics 2014-12-02 Alberto D. Verga

I revisit the well-known phase transition between the hexagonal skyrmion lattice and the homogeneous state within the phenomenological Dzyaloshinskii theory for chiral magnets which includes only the exchange, Dzyaloshinskii-Moriya and…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Andrey O. Leonov

We show that stable skyrmions with diameters of a few nanometers can emerge in atomic Pd/Fe bilayers on the Rh(111) surface. Based on density functional theory we calculate the exchange and the Dzyaloshinskii-Moriya interaction as well as…

We study annihilation mechanisms of small first- and second-order skyrmions and antiskyrmions on the frustrated $J_1-J_2-J_3$ square lattice with broken inversion symmetry (DMI). We find that annihilation happens via the injection of the…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 L. Desplat , J. -V. Kim , R. L. Stamps

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

Skyrmions have become one of the most visited topics during the last decade in condensed matter physics. In this work, and by means of analytical calculations and micromagnetic simulations, we explore the effect of the magnetostatic field…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 N. Vidal-Silva , A. Riveros , F. Tejo , J. Escrig , D. Altbir

High tunability of two dimensional magnetic materials (by strain, gating, heterostructuring or otherwise) provides unique conditions for studying versatile magnetic properties and controlling emergent magnetic phases. Expanding the scope of…

Computational Physics · Physics 2020-07-07 Raí M. Menezes , Clécio C. de Souza Silva , Milorad V. Milošević

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

The stability of magnetic skyrmions has been investigated in the past, but mostly in the absence of thermal fluctuations. However, thermal spin fluctuations modify the magnetic properties (exchange stiffness, Dzyaloshinskii-Moriya…

Materials Science · Physics 2023-10-06 Ioannis Charalampidis , Joseph Barker

Magnetic skyrmions are chiral spin textures with attractive features, such as ultra-small size, solitonic nature, and easy mobility with small electrical currents that make them promising as information-carrying bits in low-power…

Mesoscale and Nanoscale Physics · Physics 2022-06-17 Md Golam Morshed , Hamed Vakili , Avik W. Ghosh

Magnetic skyrmions are intriguing topological spin textures that promise future high-density spintronic devices. The creation of magnetic skyrmions has been understood based on the energetics of skyrmions, but the detailed dynamic process…

Mesoscale and Nanoscale Physics · Physics 2020-11-17 Soong-Geun Je

We present a micromagnetic theory of compact magnetic skyrmions under applied magnetic field that accounts for the full dipolar energy and the interfacial Dzyaloshinskii-Moryia interaction (DMI) in the thin film regime. Asymptotic analysis…

Materials Science · Physics 2024-06-18 Anne Bernand-Mantel , Anaïs Fondet , Sarah Barnova , Theresa M. Simon , Cyrill B. Muratov

We propose an alternative route to stabilize magnetic skyrmion textures which does not require Dzyaloshinkii-Moriya interaction, magnetic anisotropy, or an external Zeeman field. Instead, it solely relies on the emergence of flux in the…

Mesoscale and Nanoscale Physics · Physics 2023-03-02 Yun-Peng Huang , Panagiotis Kotetes