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Quantum Hall skyrmions are quantized solitons of a ferromagnetic O(3) sigma-model. The reference, classical, solutions depend upon the interaction between the electrons and exhibit completely different asymptotic profiles for the physical…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 E. H. Rezayi , S. L. Sondhi

Since the pioneering work Lohani et. al., Phys. Rev. X 9, 041063 (2019), it became clear that quantum skyrmions have highly unusual properties as compared to the classical skyrmions and, due to their quantumness, cannot be described by…

Mesoscale and Nanoscale Physics · Physics 2025-08-11 D. Maroulakos , A. Wal , A. Ugulava , O. Kharshiladze , L. Chotorlishvili

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…

We deal with magnetic structures that attain integer and half-integer skyrmion numbers. We model and solve the problem analytically, and show how the solutions appear in materials that engender distinct, very specific physical properties,…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 D. Bazeia , J. G. G. S. Ramos , E. I. B. Rodrigues

Magnetic skyrmions are topological spin textures that can be used as information carriers for the next-generation information storage and processing. The electric-field controlling of skyrmions in such devices is essential but remains…

Strongly Correlated Electrons · Physics 2021-08-16 Chao-Kai Li , Xu-Ping Yao , Gang Chen

Skyrmions are topologically stable quasiparticles that have been predicted and demonstrated in quantum fields, solid-state physics, and magnetic materials, but only recently observed in electromagnetic fields, triggering fast expanding…

Optics · Physics 2024-01-05 Yijie Shen , Qiang Zhang , Peng Shi , Luping Du , Xiaocong Yuan , Anatoly V. Zayats

Magnetic skyrmions are topologically protected solitons observed in various classes of real magnets. In two-dimensional systems, where the target space of local magnetization values is the two-sphere $S^2$, skyrmion textures are classified…

Strongly Correlated Electrons · Physics 2025-06-30 Fletcher Williams , David Dahlbom , Hao Zhang , Shruti Agarwal , Kipton Barros , Cristian D. Batista

We present a novel approach to understanding the extraordinary diversity of magnetic skyrmion solutions. Our approach combines a new classification scheme with efficient analytical and numerical methods. We introduce the concept of chiral…

Magnetic skyrmions are nontrivial spin textures which resist external perturbations, being promising candidates for the next generation recording devices. Nevertheless, a major challenge in realizing skyrmion-based devices is the…

These pedagogical lecture notes present a general introduction to most aspects of the integer and fractional quantum Hall effects. This is followed by an extensive discussion of quantum Hall ferromagnetism, both for spins in single-layer…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Steven M. Girvin

A quantal model description of a discrete localized skyrmion singularity embedded in a ferromagnetic environment is proposed. It allows discussing the importance of various parameters in the appearance of a quantal skyrmion singularity.…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Jean-Pierre Gauyacq , Nicolas Lorente

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

Non-volatile memory and computing technology rely on efficient read and write of ultra-tiny information carriers that do not wear out. Magnetic skyrmions are emerging as a potential carrier since they are topologically robust nanoscale spin…

Despite extensive research on magnetic skyrmions and antiskyrmions, a significant challenge remains in crafting nontrivial high-order skyrmionic textures with varying, or even tailor-made, topologies. We address this challenge, by focusing…

Topological protection precludes a continuous deformation between topologically inequivalent configurations in a continuum. Motivated by this concept, magnetic skyrmions, topologically nontrivial spin textures, are expected to exhibit the…

Topological magnetic textures - like skyrmions - have become a major player in the design of next-generation magnetic storage technology due to their stability and the control of their motion by ultra-low current densities. A major…

Strongly Correlated Electrons · Physics 2017-09-26 Karin Everschor-Sitte , Matthias Sitte , Thierry Valet , Ar. Abanov , Jairo Sinova

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…

We report the discovery and direct visualization of skyrmion clusters with mutually-orthogonal orientations of constituent isolated skyrmions in chiral liquid crystals and ferromagnets. We show that the nascent conical state underlies…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Hayley. R. O. Sohn , Sergei M. Vlasov , Valeriy M. Uzdin , Andrey O. Leonov , Ivan I. Smalyukh

The discovery of magnetic skyrmion bubbles in centrosymmetric magnets has been receiving increasing interest from the research community, due to the fascinating physics of topological spin textures and its possible applications to…

Mesoscale and Nanoscale Physics · Physics 2019-12-03 Zhipeng Hou , Qiang Zhang , Guizhou Xu , Senfu Zhang , Chen Gong , Bei Ding , Hang Li , Feng Xu , Yuan Yao , Enke Liu , Guangheng Wu , Xi-xiang Zhang , Wenhong Wang

Increasing amounts of information force the continuous improvement of information storage and processing technologies, further device miniaturization, and their efficiency increase. Magnetic skyrmions, topological quasiparticles, and the…

Mesoscale and Nanoscale Physics · Physics 2022-04-13 Mateusz Zelent , Mathieu Moalic , Michal Mruczkiewicz , Xiaoguang Li , Yan Zhou , Maciej Krawczyk
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