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Magnetic vortices and skyrmions represent two fundamental classes of topological spin textures in ferromagnetic systems, distinguished by their unique stabilization mechanisms and degrees of freedom. Vortices, characterized by circular…

Computational Physics · Physics 2025-03-21 Haobing Zhang , Xintao Fan , Weiwei Wang

Magnetic skyrmions are small swirling topological defects in the magnetization texture stabilized by the protection due to their topology. In most cases they are induced by chiral interactions between atomic spins existing in…

Materials Science · Physics 2017-12-21 Albert Fert , Nicolas Reyren , Vincent Cros

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

Magnetic skyrmions are topologically non-trivial spin whirls that may not be transformed continuously into topologically trivial states such as ferromagnetic spin alignment. In recent years lattice structures composed of skyrmions have been…

Strongly Correlated Electrons · Physics 2016-03-30 Andreas Bauer , Christian Pfleiderer

Axisymmetric magnetic lines of nanometer sizes (chiral vortices or skyrmions) have been predicted to exist in a large group of noncentrosymmetric crystals more than two decades ago. Recently these magnetic textures have been directly…

Mesoscale and Nanoscale Physics · Physics 2016-08-14 N. S. Kiselev , A. N. Bogdanov , R. Schäfer , U. K. Rößler

We study the spin textures of a confined two-dimensional electron in inhomogeneous magnetic fields. These fields can either be external or effective fields due to a background magnetic texture in the plane in which the electron resides. By…

Mesoscale and Nanoscale Physics · Physics 2020-03-12 Amin Naseri , Shenglin Peng , Wenchen Luo , Jesko Sirker

Topologically stable structures include vortices in a wide variety of matter, such as skyrmions in ferro- and antiferromagnets, and hedgehog point defects in liquid crystals and ferromagnets. These are characterized by integer-valued…

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…

Symmetry breaking together with strong spin-orbit interaction give rise to many exciting phenomena within condensed matter physics. A recent example is the existence of chiral spin textures, which are observed in magnetic systems lacking…

Mesoscale and Nanoscale Physics · Physics 2017-09-26 Wanjun Jiang , Gong Chen , Kai Liu , Jiadong Zang , Suzanne G. E. te Velthuis , Axel Hoffmann

Skyrmions represent topologically stable field configurations with particle-like properties. We used neutron scattering to observe the spontaneous formation of a two-dimensional lattice of skyrmion lines, a type of magnetic vortices, in the…

Strongly Correlated Electrons · Physics 2015-05-13 S. Mühlbauer , B. Binz , F. Jonietz , C. Pfleiderer , A. Rosch , A. Neubauer , R. Georgii , P. Böni

Equilibrium properties and localised magnon excitations are investigated in topologically distinct skyrmionic textures. The observed shape of the structures and their orientation on the lattice is explained based on their vorticities and…

Materials Science · Physics 2020-11-17 Levente Rózsa , Markus Weißenhofer , Ulrich Nowak

Magnetic skyrmions are chiral spin structures with a whirling configuration. Their topological properties, nanometer size and the fact that they can be moved by small current densities have opened a new paradigm for the manipulation of…

Magnetic skyrmions have so far been treated as two-dimensional spin structures characterized by a topological winding number describing the rotation of spins across the skyrmion. However, in real systems with a finite thickness of the…

Axisymmetric magnetic strings with a fixed sense of rotation and nanometer sizes (chiral magnetic vortices or Skyrmions) have been predicted to exist in a large group of non-centrosymmetric crystals more than two decades ago. Recently these…

Strongly Correlated Electrons · Physics 2016-08-14 Ulrich K. Rößler , Andrei A. Leonov , Alexei N. Bogdanov

Emergent phenomena and functions arising from topological electron-spin textures in real space or momentum space are attracting growing interest for new concept of states of matter as well as for possible applications to spintronics. One…

Skyrmions--topologically protected nanoscale spin textures with vortex-like configurations--hold transformative potential for ultra-dense data storage, spintronics and quantum computing. However, their practical utility is challenged by…

Mesoscale and Nanoscale Physics · Physics 2025-03-11 Lei Liu , Xiujuan Zhang , Ming-Hui Lu , Yan-Feng Chen

Magnetic skyrmions have attracted enormous research interest since their discovery a decade ago. The non-trivial real-space topology of these nano-whirls leads to fundamentally interesting and technologically relevant consequences - the…

Mesoscale and Nanoscale Physics · Physics 2021-01-18 Börge Göbel , Ingrid Mertig , Oleg A. Tretiakov

Chiral magnets are an emerging class of topological matter harbouring localized and topologically protected vortex-like magnetic textures called skyrmions, which are currently under intense scrutiny as a new entity for information storage…

We show that non-Abelian vortices can exist in magnetic materials. These are singularity-free textures, are described by spin-lattice and field theory models, and we demonstrate that typical magnetic materials can be quite suitable for…

Strongly Correlated Electrons · Physics 2022-05-31 Filipp N. Rybakov , Olle Eriksson

We investigate the interaction of magnetic vortices and skyrmions with a spin-polarized current. In a square lattice, fixed classical spins and quantum itinerant electrons, evolve according to the coupled Landau-Lifshitz and Schr\"odinger…

Mesoscale and Nanoscale Physics · Physics 2014-04-22 Ricardo Gabriel Elias , Alberto D. Verga
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