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Related papers: Lattice Three-Dimensional Skyrmions Revisited

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Magnetic skyrmions are nano-sized topologically protected spin textures with particle-like properties. They can form lattices perpendicular to the magnetic field and the orientation of these skyrmion lattices with respect to the…

Strongly Correlated Electrons · Physics 2017-11-22 L. J. Bannenberg , F. Qian , R. M. Dalgliesh , N. Martin , G. Chaboussant , M. Schmidt , D. L. Schlagel , T. A. Lograsso , H. Wilhelm , C. Pappas

Generation and propagation of optical skyrmions provide a versatile plalform for topologically nontrivial optical informatics and light-matter interactions, but their acceleration along curved trajectories is to be studied. In this study,…

Optics · Physics 2025-01-10 Haijun Wu , Weijie Zhou , Zhihan Zhu , Yijie Shen

Skyrmions are topological solitons in two-dimensional systems and have been observed in various physical systems. Generating and controlling skyrmions in artificial resonator arrays lead to novel acoustic, photonic, and electric devices,…

Mesoscale and Nanoscale Physics · Physics 2026-05-21 Hiroshi Yamaguchi , Daiki Hatanaka , Motoki Asano

The class of static, spherically symmetric, and finite energy hedgehog solutions in the SU(2) Skyrme model is examined on a metric three-cylinder. The exact analytic shape function of the 1-Skyrmion is found. It can be expressed via…

Mathematical Physics · Physics 2008-11-26 Lukasz Bratek

Magnetic skyrmions are swirling spin textures with topologically protected noncoplanarity. Recently, skyrmions with the topological number of unity have been extensively studied in both experiment and theory. We here show that a skyrmion…

Strongly Correlated Electrons · Physics 2018-10-24 Ryo Ozawa , Satoru Hayami , Yukitoshi Motome

We show that skyrmions arising from compact five dimensional models have stable sizes. We numerically obtain the skyrmion configurations and calculate their size and energy. Although their size strongly depends on the magnitude of localized…

High Energy Physics - Theory · Physics 2009-12-15 Alex Pomarol , Andrea Wulzer

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

Magnetic skyrmions are particle-like chiral spin textures found in a magnetic film with out-of-planeanisotropy and are considered to be potential candidates as information carriers in next generationdata storage devices. Despite intense…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 S. Saha , M. Zelent , S. Finizio , M. Mruczkiewicz , S. Tacchi , A. K. Suszka , S. Wintz , N. S. Bingham , J. Raabe , M. Krawczyk , L. J. Heyderman

We discuss an ansatz for Skyrme fields in three dimensions which uses rational maps between Riemann spheres, and produces shell-like structures of polyhedral form. Houghton, Manton and Sutcliffe showed that a single rational map gives good…

High Energy Physics - Theory · Physics 2007-05-23 N. S. Manton , B. M. A. G. Piette

We study a semi-linear version of the Skyrme system due to Adkins and Nappi. The objects in this system are maps from $(1+3)$-dimensional Minkowski space into the $3$-sphere and 1-forms on $\mathbb{R}^{1+3}$, coupled via a Lagrangian…

Analysis of PDEs · Mathematics 2017-03-24 Andrew Lawrie , Casey Rodriguez

We study a frustrated antiferromagnetic Heisenberg model on a triangular lattice with the Dzyaloshinskii-Moriya interaction (DMI) in the presence of an external magnetic field and a single-ion anisotropy. Phase diagrams in the…

Statistical Mechanics · Physics 2021-12-14 M. Mohylna , M. Žukovič

Magnetic skyrmions are topological solitons with a nanoscale winding spin texture that hold promise for spintronics applications. Until now, skyrmions have been observed in a variety of magnets that exhibit nearly parallel alignment for the…

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 review the SU(2) Skyrme model and describe its topological soliton solutions, which are called Skyrmions. Skyrmions provide a model of nuclei in which the conserved topological charge is identified with the baryon number of a nucleus.…

High Energy Physics - Theory · Physics 2008-09-23 Nicholas S. Manton , Stephen W. Wood

Using atomistic simulations, we show that new types of skyrmion states called skyrmion molecular crystals and skyrmion superlattices can be realized on triangular substrates when there are two or three skyrmions per substrate minimum. We…

Mesoscale and Nanoscale Physics · Physics 2024-07-30 J. C. Bellizotti Souza , N. P. Vizarim , C. J. O. Reichhardt , P. A. Venegas , C. Reichhardt

Magnetic skyrmion, i.e. a topologically stable swirling spin texture, appears as a particle-like object in the two-dimensional (2D) systems, and has recently attracted attention as a candidate of novel information carrier. In the real…

Strongly Correlated Electrons · Physics 2022-02-16 S. Seki , M. Suzuki , M. Ishibashi , R. Takagi , N. D. Khanh , Y. Shiota , W. Koshibae , Y. Tokura , T. Ono

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…

Skyrmions have attracted rapidly growing interest due to their topological properties and unique aspects for potential novel applications such as data storage and soft robotics. They can also serve as key elements for materials by design,…

Soft Condensed Matter · Physics 2021-01-20 Ayhan Duzgun , Avadh Saxena , Jonathan V. Selinger

Competing magnetic interactions may stabilize smooth magnetization textures that can be characterized by a topological winding number. Such textures, which are spatially localized within a two-dimensional plane, are commonly known as…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Alexander P. Petrović , Christina Psaroudaki , Peter Fischer , Markus Garst , Christos Panagopoulos

Exact analytic solutions of the Skyrme model defined on a spherically symmetric $R^{(1,1)} \times S^2$ geometry, chosen to mimic finite volume effects, are presented. The static and spherically symmetric configurations have non-trivial…

High Energy Physics - Theory · Physics 2015-06-22 Fabrizio Canfora , Francisco Correa , Jorge Zanelli
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