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Topological spin textures are characterized by topological magnetic charges, Q, which govern their electromagnetic properties. Recent studies have achieved skyrmion bundles with arbitrary integer values of Q, opening possibilities for…

Mesoscale and Nanoscale Physics · Physics 2025-12-12 Yongsen Zhang , Jin Tang , Yaodong Wu , Meng Shi , Xitong Xu , Shouguo Wang , Mingliang Tian , Haifeng Du

Magnetic skyrmions are topologically protected chiral spin textures which present opportunities for next-generation magnetic data storage and logic information technologies. The topology of these structures originates in the geometric…

Magnetic skyrmions offer promising prospects for constructing future energy-efficient and high-density information technology, leading to extensive explorations of new skyrmionic materials recently. The topological Hall effect has been…

Quantization of topological charges determines the various topological spin textures that are expected to play a key role in future spintronic devices. While the magnetic skyrmion with a unit topological charge Q has been extensively…

Materials Science · Physics 2021-08-29 Jin Tang , Yaodong Wu , Weiwei Wang , Lingyao Kong , Boyao Lv , Wensen Wei , Jiadong Zang , Mingliang Tian , Haifeng Du

Skyrmions are vortex-like textures of magnetic moments found in some magnetically ordered materials. Here we describe the origin of the skyrmion and discuss the experimental realization of skyrmions in magnetic materials, the dynamic…

Strongly Correlated Electrons · Physics 2022-02-23 Tom Lancaster

A vortex, a circulating flow around a void, is one of the basic topological phenomena in nature. Here we show that vortices generally emerge in spin wave travelling upon topologically nontrivial magnetic texture, due to the transverse…

Mesoscale and Nanoscale Physics · Physics 2024-05-07 Hongbin Wu , Jin Lan

The recent experimental confirmation of a transformation between meron and skyrmion topological spin textures in the chiral magnet Co$_8$Zn$_9$Mn$_3$ [S.-Z. Lin et al., Phys. Rev. B 91, 224407 (2015); X. Z. Yu et al., Nature 564, 95 (2018)]…

Strongly Correlated Electrons · Physics 2021-03-05 Zhentao Wang , Ying Su , Shi-Zeng Lin , Cristian D. Batista

Topology profoundly influences diverse fields of science, providing a powerful framework for classifying phases of matter and predicting nontrivial excitations, such as solitons, vortices, and skyrmions. These topological defects are…

Solitonic magnetic excitations such as domain walls and, specifically, skyrmionics enable the possibility of compact, high density, ultrafast,all-electronic, low-energy devices, which is the basis for the emerging area of skyrmionics. The…

Magnetic skyrmions are two-dimensional non-collinear spin textures characterised by an integer topological number. They commonly crystallise at low temperatures in bulk noncentrosymmetric ferromagnets where the lack of inversion symmetry…

Magnetic vortices and skyrmions are typically characterized by distinct topological invariants. This work presents a unified approach for the topological classification of these textures, encompassing isolated objects and configurations…

Mesoscale and Nanoscale Physics · Physics 2025-04-15 Filipp N. Rybakov , Olle Eriksson , Nikolai S. Kiselev

Topological magnetic solitons, such as skyrmions, exhibit intriguing particle-like properties that make them attractive for fundamental research and practical applications. While many magnetic systems can host skyrmions as statically stable…

Strongly Correlated Electrons · Physics 2025-01-22 Vladyslav M. Kuchkin , Bruno Barton-Singer , Pavel F. Bessarab , Nikolai S. Kiselev

The magnetic skyrmion with the topological number of unity ($Q=1$) is a well-known nanometric swirling spin structure in the nonlinear $\sigma$ model with the Dzyaloshinskii-Moriya interaction. Here, we show that magnetic skyrmion with the…

Mesoscale and Nanoscale Physics · Physics 2016-01-22 Xichao Zhang , Yan Zhou , Motohiko Ezawa

Magnetic skyrmions are textures behaving as quasiparticles which are topologically different from other states. Their discovery in systems with broken inversion symmetry sparked the search for materials containing such magnetic phase at…

A magnetic Skyrmion is a stable two-dimensional nanoparticle describing a localized winding of the magnetization in certain magnetic materials. Skyrmions are the subject of intense experimental and theoretical investigation and have…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 Paul Sutcliffe

Magnetic skyrmions are topological magnetic spin structures exhibiting particle-like behaviour. They are of strong interest from a fundamental viewpoint and for application, where they have potential to act as information carriers in future…

Magnetic skyrmions and bubbles, observed in ferromagnetic thin films with perpendicular magnetic anisotropy, are topological solitons which differ by their characteristic size and the balance in the energies at the origin of their…

Skyrmions are important in topological quantum field theory for being soliton solutions of a nonlinear sigma model and in information technology for their attractive applications. Skyrmions are believed to be circular and stripy spin…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 X. R. Wang , X. C. Hu , H. T. Wu

Spin textures with nontrivial topology, such as vortices and skyrmions, have attracted attention as a source of unconventional magnetic, transport, and optical phenomena. Recently, a new generation of topological spin textures has been…

Strongly Correlated Electrons · Physics 2021-11-08 Satoru Hayami , Yukitoshi Motome

The interaction between the surface of a 3D topological insulator and a skyrmion / anti-skyrmion structure is studied in order to investigate the possibility of electron confinement due to skyrmion presence. Both hedgehog (N\'eel) and…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Dimitrios Andrikopoulos , Bart Sorée , Jo De Boeck