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Skyrmions refer to small swirling spin structures that emerge in ferromagnetic materials and show promising features to be used as a `bit' of information in future spintronic devices. Our research explores the possibility of nucleating…

Materials Science · Physics 2024-12-31 Tamali Mukherjee , Banasree Sadhukhan , V Satya Narayana Murthy

The first analytic solutions representing baryonic layers living at finite baryon density within a constant magnetic field in the gauged Skyrme model are constructed. A remarkable feature of these configurations is that, if the Skyrme term…

High Energy Physics - Theory · Physics 2024-02-13 Sergio L. Cacciatori , Fabrizio Canfora , Federica Muscolino

An analytical model for the domain wall structure in ultrathin films with perpendicular easy axis and interfacial Dzyaloshinskii-Moriya interaction, submitted to an arbitrary in-plane magnetic field, is presented. Its solution is simplified…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Pierre Géhanne , André Thiaville , Stanislas Rohart , Vincent Jeudy

The nonlinear $\sigma$-model is considered to be useful in describing hadrons (Skyrmions) in low energy hadron physics and the approximate behavior of the global texture. Here we investigate the properties of the static solution of the…

High Energy Physics - Theory · Physics 2010-11-01 Chul H. Lee , Joon Ha Kim , Hyun Kyu Lee

The orientation of N\'eel-type skyrmions in the lacunar spinels GaV$_4$S$_8$ and GaV$_4$Se$_8$ is tied to the polar axes of their underlying crystal structure through the Dzyaloshinskii-Moriya interaction. In these crystals, the skyrmion…

Strongly Correlated Electrons · Physics 2020-09-04 B. Gross , S. Philipp , K. Geirhos , A. Mehlin , S. Bordács V. Tsurkan , A. Leonov , I. Kézsmárki , M. Poggio

Skyrme chains are topologically-nontrivial solutions of the Skyrme model which are (quasi-)periodic in one spatial direction. We report numerical and analytic investigations which show that such solutions exist. Chains of 1-skyrmions are…

High Energy Physics - Theory · Physics 2009-01-16 Derek Harland , R. S. Ward

Phases of matter are ubiquitous with everyday examples including solids and liquids. In reduced dimensions, particular phases, such as the two-dimensional (2D) hexatic phase and corresponding phase transitions occur. A particularly exciting…

Facing the ever-growing demand for data storage will most probably require a new paradigm. Nanoscale magnetic skyrmions are anticipated to solve this issue as they are arguably the smallest spin textures in magnetic thin films in nature. We…

We study inter-skyrmion interactions and stable spin configurations in a 2D chiral magnet with in-plane anisotropies of a tilted magnetic field and the magneto-crystalline anisotropy on a (011) thin film. We find that in both cases a small…

Mesoscale and Nanoscale Physics · Physics 2021-12-15 Mai Kameda , Rio Koyama , Takuro Nakajima , Yuki Kawaguchi

Two-dimensional chiral magnets are known to host a variety of skyrmions, characterized by an integer topological charge. However, these systems typically favor uniform lattices as a thermodynamically stable phase composed of either…

Materials Science · Physics 2026-03-18 Sayan Banik , Nikolai S. Kiselev , Ashis K. Nandy

Two flavours Skyrmion will be analyzed analytically, in case of static and rotational Skyrme equations. Numerical solution of a nonlinear scalar field equation, i.e. the Skyrme equation, will be worked with finite difference method. This…

High Energy Physics - Phenomenology · Physics 2010-06-30 Miftachul Hadi , Irwandi Nurdin , Denny Hermawanto

The first analytic topologically non-trivial solutions in the (3+1)-dimensional gauged non-linear sigma model representing multi-solitons at finite volume with manifest ordered structures generating their own electromagnetic field are…

High Energy Physics - Theory · Physics 2019-06-17 Fabrizio Canfora , Seung Hun Oh , Aldo Vera

We demonstrate existence of topologically nontrivial energy minimizing maps of a given positive degree from bounded domains in the plane to $\mathbb S^2$ in a variational model describing magnetizations in ultrathin ferromagnetic films with…

Analysis of PDEs · Mathematics 2026-04-03 Cyrill B. Muratov , Theresa M. Simon , Valeriy V. Slastikov

The recent discovery of tunable Dzyaloshinskii-Moriya interactions in layered magnetic materials with perpendicular magnetic anisotropy makes them promising candidates for stabilization and manipulation of skyrmions at elevated…

Mesoscale and Nanoscale Physics · Physics 2015-12-17 Rick Keesman , A. O. Leonov , P. van Dieten , Stefan Buhrandt , G. T. Barkema , Lars Fritz , R. A. Duine

Magnetic skyrmions, which are topologically distinct magnetic spin textures, are gaining increased attention for their unique physical properties and potential applications in spintronic devices. Here we present a design strategy for…

We present a combined analytical and numerical micromagnetic study of the equilibrium energy, size and shape of anti-skyrmionic magnetic configurations. Anti-skyrmions can be stabilized when the Dzyaloshinskii-Moriya interaction has…

Materials Science · Physics 2018-04-18 Lorenzo Camosi , Nicolas Rougemaille , Olivier Fruchart , Jan Vogel , Stanislas Rohart

The O(3) Skyrme system in two space dimensions admits topological soliton solutions. This paper studies the transition between the high-density crystalline phase of such solitons and the low-density phase where there are multi-Skyrmions…

High Energy Physics - Theory · Physics 2009-11-10 R. S. Ward

Some years ago, Atiyah and Manton described a method to construct approximate Skyrmion solutions from Yang-Mills instantons. Here we present a dynamical realization of this construction using domain walls in a five-dimensional gauge theory.…

High Energy Physics - Theory · Physics 2007-05-23 Minoru Eto , Muneto Nitta , Keisuke Ohashi , David Tong

We propose a framework to construct a real-space spin model based on the inverse Hamiltonian design. The method provides an efficient way of realizing unconventional topological spin textures by optimizing the interaction parameters. In…

Strongly Correlated Electrons · Physics 2025-05-01 Kazuki Okigami , Satoru Hayami

Magnetic skyrmions and antiskyrmions are topologically protected quasiparticles exhibiting a whirling spin texture in real space. Antiskyrmions offer some advantages over skyrmions as they are expected to have higher stability and can be…

Materials Science · Physics 2024-08-23 Kai Huang , Edward Schwartz , Ding-Fu Shao , Alexey A. Kovalev , Evgeny Y. Tsymbal