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We investigate theoretically magnetoentropic signatures of the crystal phase of magnetic skyrmions of various kinds, commonly appearing in two dimensions, \textit{viz.}, N\'eel, Bloch and anti skyrmions. Using Monte Carlo calculations based…

Strongly Correlated Electrons · Physics 2024-12-03 Ahmed R. Saikia , Narayan Mohanta

The magnetic skyrmion structure can be formed in the chiral magnets (CMs) with strong Dzyaloshinskii-Moriya interactions. In this work, we propose a way of artificially tailoring the topological details of the skyrmion such as its radial…

Mesoscale and Nanoscale Physics · Physics 2016-10-06 Yin-Yan Zhang , Rui Zhu

A new method is introduced to construct approximations to Skyrmions that are explicit rational functions of the spatial Cartesian coordinates. The scheme uses ADHM data of a Yang-Mills instanton to produce a Skyrmion with a baryon number…

High Energy Physics - Theory · Physics 2023-10-03 Derek Harland , Paul Sutcliffe

Topological spin structures, such as magnetic skyrmions, hold great promises for data storage applications, thanks to their inherent stability. In most cases, skyrmions are stabilized by magnetic fields in non-centrosymmetric systems…

Materials Science · Physics 2020-12-02 Danila Amoroso , Paolo Barone , Silvia Picozzi

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

We study the simplest $SO(2)$ gauged $O(5)$ Skyrme models in $4+1$ (flat) dimensions. In the gauge decoupled limit, the model supports topologically stable solitons (Skyrmions) and after gauging, the static energy of the solutions is…

High Energy Physics - Theory · Physics 2020-07-01 Francisco Navarro-Lerida , Eugen Radu , D. H. Tchrakian

We study the formation and growth of a skyrmion crystal (SkX) phase in a frustrated antiferromagnetic Heisenberg model on a triangular lattice with Dzyaloshinskii-Moriya interaction (DMI) in the presence of an external magnetic field. We…

Strongly Correlated Electrons · Physics 2021-12-14 M. Mohylna , M. Žukovič

Magnetic skyrmions are topological quasiparticles potentially useful for memory and computing devices. Antiferromagnetic (AF) skyrmions present no transverse deflection, making them suitable candidates for data storage applications. After…

Strongly Correlated Electrons · Physics 2026-01-27 Inés Corte , Federico Holik , Lorena Rebón , Flavia A. Gómez Albarracín

Magnetic interactions underpin a plethora of magnetic states of matter, hence playing a central role both in fundamental physics and for future spintronic and quantum computation devices. The Dzyaloshinskii-Moriya interaction, being chiral…

Mesoscale and Nanoscale Physics · Physics 2019-08-19 Sascha Brinker , Manuel dos Santos Dias , Samir Lounis

Spin textures arise in the effective action approach to the quantum Hall effect. Up to now these textures, also called Skyrmions, have been mainly studied using approximations. Studies of its finite density form, the crystal, have been…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels R. Walet , Tom Weidig

We construct a stable Skyrmion in 3+1 dimensions as a sine-Gordon kink inside a domain wall within a domain wall in an O(4) sigma model with hierarchical mass terms without the Skyrme term. We also find that higher dimensional Skyrmions can…

High Energy Physics - Theory · Physics 2013-03-29 Muneto Nitta

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

We study the melting of skyrmions in a two-dimensional Heisenberg chiral magnet with bi-axial Dzyaloshinskii--Moriya interactions. These topological excitations may form at zero temperature a triangular crystal with long-range positional…

Statistical Mechanics · Physics 2019-04-26 Yoshihiko Nishikawa , Koji Hukushima , Werner Krauth

The realization of magnetic skyrmions in nanostructures holds great promise for both fundamental research and device applications. Despite recent progress, intrinsic magnetic skyrmions in two-dimensional lattice are still rarely explored.…

Materials Science · Physics 2022-05-11 Wenhui Du , Kaiying Dou , Zhonglin He , Ying Dai , Baibiao Huang , Yandong Ma

We obtain the lowest energy solutions for the skymion field equations and their corresponding vortex structures. Two nondegenerate solutions emerge with their vortex swirls in opposite directions. The solutions are associated with an…

Mesoscale and Nanoscale Physics · Physics 2016-03-09 J. C. Martinez , M. B. A. Jalil

The realization of magnetic skyrmions in two-dimensional (2D) magnets holds great promise for both fundamental research and device applications. Despite recent progress, two-dimensional skyrmion hosts are still limited, due to the fact that…

Materials Science · Physics 2026-02-27 Jingman Pang , Xiaohang Niu , Hong Jian Zhao , Yun Zhang , Laurent Bellaiche

We demonstrate the stray-field-mediated skyrmion stabilizing capabilities of ultrathin exchange-decoupled antisymmetric ferromagnetic bilayers based on conventional transition metal materials. Using an asymptotically exact micromagnetic…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Anne Bernand-Mantel , Valeriy V. Slastikov , Cyrill B. Muratov

Domain wall skyrmions are skyrmions trapped inside a domain wall. We investigate domain wall skyrmions in chiral magnets using a fully analytic approach. Treating the Dzyaloshinskii-Moriya (DM) interaction perturbatively, we construct the…

Mesoscale and Nanoscale Physics · Physics 2023-02-08 Calum Ross , Muneto Nitta

We study $\mathbb{C}P^2$ Skyrmion crystals in the ferromagnetic SU(3) Heisenberg model with a generalization of the Dzyaloshinskii-Moriya interaction and the Zeeman term. The model possesses two different types of Skyrmion crystals with…

Strongly Correlated Electrons · Physics 2022-09-22 Yuki Amari , Yutaka Akagi , Sven Bjarke Gudnason , Muneto Nitta , Yakov Shnir

Monte Carlo simulation study of a classical spin model with Dzylosinskii-Moriya interaction and the spin anisotropy under the magnetic field is presented. We found a rich phase diagram containing the multiple spin spiral (or skyrme crystal)…

Strongly Correlated Electrons · Physics 2009-08-26 Su Do Yi , Shigeki Onoda , Naoto Nagaosa , Jung Hoon Han