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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

The study of thermodynamics of topological defects is an important challenge to understand their underlying physics. Among them, magnetic skyrmions have a leading role for their physical properties and potential applications in storage and…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 R. Zivieri , R. Tomasello , O. Chubykalo-Fesenko , V. Tiberkevich , M. Carpentieri , G. Finocchio

Magnetic skyrmions are intriguing topological spin textures that promise future high-density spintronic devices. The creation of magnetic skyrmions has been understood based on the energetics of skyrmions, but the detailed dynamic process…

Mesoscale and Nanoscale Physics · Physics 2020-11-17 Soong-Geun Je

Magnetic skyrmions are topological quasiparticles in magnetic field. Until recently, as one of their photonic counterparts, N\'eel-type photonic skyrmion is discovered in surface plasmon polaritons. The deep-subwavelength features of the…

Optics · Physics 2026-03-02 Qiang Zhang , Zhenwei Xie , Luping Du , Peng Shi , Xiaocong Yuan

The stability of magnetic skyrmions has been investigated in the past, but mostly in the absence of thermal fluctuations. However, thermal spin fluctuations modify the magnetic properties (exchange stiffness, Dzyaloshinskii-Moriya…

Materials Science · Physics 2023-10-06 Ioannis Charalampidis , Joseph Barker

Magnetic skyrmions (or vortices) are spatially inhomogeneous spin textures localized in nanoscale cylindrical regions. Topological protection and small size make skyrmions especially attractive for the study of spin topology and…

Mesoscale and Nanoscale Physics · Physics 2020-08-04 Alexei N. Bogdanov , Christos Panagopoulos

The Dzyaloshinskii-Moriya interaction (DMI), which originates from spin-orbit coupling and relies on broken inversion symmetry, is recognized as a key ingredient in forming magnetic skyrmions. However, most 2D magnets exhibit inversion…

Materials Science · Physics 2026-03-27 Soumyajyoti Haldar , Moritz A. Goerzen , Stefan Heinze , Dongzhe Li

Magnetic skyrmions are whirls in the magnetization whose topological winding number promises stability against thermal fluctuations and defects. They can only decay via singular spin configurations. We analyze the corresponding energy…

Strongly Correlated Electrons · Physics 2019-10-24 Benjamin Heil , Achim Rosch , Jan Masell

Magnetic phase transitions are a test bed for exploring the physics of non-equilibrium phenomena in condensed matter, which become even more complex when topological constraints are involved. In particular, the investigation of skyrmions…

Mesoscale and Nanoscale Physics · Physics 2018-11-15 Leonardo Pierobon , Christoforos Moutafis , Yu Li , Jörg F. Löffler , Michalis Charilaou

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 key candidates for novel memory, logic, and neuromorphic computing. An essential property is their topological protection caused by the whirling spin texture as described by a robust integer winding number. However,…

Skyrmions, topologically protected vortex-like nanometric spin textures in magnets, have been attracting increasing attention for emergent electromagnetic responses and possible technological applications for spintronics. In particular,…

Mesoscale and Nanoscale Physics · Physics 2015-07-03 Y. Tokunaga , X. Z. Yu , J. S. White , H. M. Rønnow , D. Morikawa , Y. Taguchi , Y. Tokura

Two-dimensional chiral magnets are known to host a variety of skyrmions, characterized by an integer topological charge. However, these systems typically favor uniform lattices as a thermodynamically stable phase composed of either…

Materials Science · Physics 2026-03-18 Sayan Banik , Nikolai S. Kiselev , Ashis K. Nandy

Magnetic solitons have recently attracted significant attention due to their intricate physical properties and potential applications in information processing. The majority of the studies in this field, however, are focused on a particular…

Chiral cubic Co-Zn-Mn magnets exhibit diverse topological spin textures, including room-temperature skyrmion phases and robust far-from-equilibrium metastable states. Despite recent advances in understanding metastable skyrmions, the…

Materials Science · Physics 2025-05-16 J. S. White , V. Ukleev , L. Yu , Y. Tokura , Y. Taguchi , K. Karube

Frustrated magnets are known to support two-dimensional topological solitons, called skyrmions. A continuum model for frustrated magnets has recently been shown to support both two-dimensional skyrmions and three-dimensional knotted…

Mesoscale and Nanoscale Physics · Physics 2019-06-12 Derek Harland

We calculate exactly the von Neumann and topological entropies of the toric code as a function of system size and temperature. We do so for systems with infinite energy scale separation between magnetic and electric excitations, so that the…

Strongly Correlated Electrons · Physics 2007-11-30 C. Castelnovo , C. Chamon

Due to their topological protection and nanometric size, magnetic skyrmions are anticipated to form components of new high-density memory technologies. In metallic systems skyrmion manipulation is achieved easily under a low density…

Strongly Correlated Electrons · Physics 2018-07-25 J. S. White , I. Živković , A. J. Kruchkov , M. Bartkowiak , A. Magrez , H. M. Rønnow

We determined the magnetic B-T phase diagram of PdFe bilayer on Ir(111) surface by performing Monte Carlo and spin dynamics simulations based on an effective classical spin model. The parameters of the spin model were determined by ab…

Strongly Correlated Electrons · Physics 2016-02-16 Levente Rózsa , Eszter Simon , Krisztián Palotás , László Udvardi , László Szunyogh

Topological defects play a key role in a variety of physical systems, ranging from high-energy to solid state physics. They yield fascinating emergent phenomena and serve as a bridge between the microspic and macroscopic world. A skyrmion…

Optics · Physics 2018-09-26 S. Tsesses , E. Ostrovsky , K. Cohen , B. Gjonaj , N. Lindner , G. Bartal