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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…

Non-Hermitian systems have been discussed mostly in the context of open systems and nonequilibrium. Recent experimental progress is much from optical, cold-atomic, and classical platforms due to the vast tunability and clear identification…

Mesoscale and Nanoscale Physics · Physics 2024-01-25 Xiao-Xiao Zhang , Naoto Nagaosa

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…

Non-flat energy landscapes leading to localized pinning of skyrmions pose an inherent and unavoidable challenge for studies of fundamental 2D spin structure dynamics as well as applications. Accounting for pinning is a key requirement for…

Skyrmions are topological magnetic textures that can arise in non-centrosymmetric ferromagnetic materials. In most systems experimentally investigated to date, skyrmions emerge as classical objects. However, the discovery of skyrmions with…

Strongly Correlated Electrons · Physics 2022-12-07 Andreas Haller , Solofo Groenendijk , Alireza Habibi , Andreas Michels , Thomas L. Schmidt

Magnetic skyrmions are topologically stable whirlpool-like spin textures that offer great promise as information carriers for future ultra-dense memory and logic devices1-4. To enable such applications, particular attention has been focused…

The stability of the four known stationary points of the cubic helimagnet energy functional: the ferromagnetic state, the conical helix, the conical helicoid, and the skyrmion lattice, is studied by solving the corresponding spectral…

Strongly Correlated Electrons · Physics 2018-02-06 Victor Laliena , Javier Campo

Topologically nontrivial field configurations called "baby skyrmions" behave like particles and give origins to the field of skyrmionics that promises racetrack memory and other technological applications. Unraveling the non-equilibrium…

Materials Science · Physics 2017-06-30 Paul J. Ackerman , Timothy Boyle , Ivan I. Smalyukh

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

The helicity-orbital coupling is an intriguing feature of magnetic skyrmions in frustrated magnets. Here, we explore the skyrmion dynamics in a frustrated magnet based on the $J_{1}$-$J_{2}$-$J_{3}$ classical Heisenberg model explicitly by…

Mesoscale and Nanoscale Physics · Physics 2017-11-27 Xichao Zhang , Jing Xia , Yan Zhou , Xiaoxi Liu , Han Zhang , Motohiko Ezawa

Thermally activated processes are key to understanding the dynamics of physical systems. Thermal diffusion of (quasi-)particles for instance not only yields information on transport and dissipation processes but is also an exponentially…

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

Magnetic skyrmions are particle-like topological excitations that recently generated much interest as candidates for future spintronic devices based on skyrmion small size, enhanced topological stability, and/or mutual interaction. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-08-28 Thomas T. J. Mutter , Andrey O. Leonov , Katsuya Inoue

Magnetic monopoles, despite their ongoing experimental search as elementary particles, have inspired the discovery of analogous excitations in condensed matter systems. In chiral condensed matter systems, emergent monopoles are responsible…

Soft Condensed Matter · Physics 2023-10-11 Jung-Shen B. Tai , Andrew J. Hess , Jin-Sheng Wu , Ivan I. Smalyukh

Skyrmions are particle-like topological excitations, studied in various condensed matter systems and models of high-energy physics (HEP). They occur as stable spin textures in certain planar magnetic materials and as configurations in…

Skyrmions, topologically-protected nanometric spin vortices, are being investigated extensively in various magnets. Among them, many of structurally-chiral cubic magnets host the triangular-lattice skyrmion crystal (SkX) as the…

Strongly Correlated Electrons · Physics 2017-12-19 K. Karube , J. S. White , N. Reynolds , J. L. Gavilano , H. Oike , A. Kikkawa , F. Kagawa , Y. Tokunaga , H. M. Rønnow , Y. Tokura , Y. Taguchi

We derive an effective non-linear sigma model for quantum hall systems with arbitrary polarizations, by employing the recently proposed doublet model. We study the topological excitations, in particular, the skyrmions, as a function of the…

Condensed Matter · Physics 2009-10-30 Sudhansu S. Mandal , V. Ravishankar

High-resolution tunneling electron spin transport properties (longitudinal spin current (LSC) and spin transfer torque (STT) maps) of topologically distinct real-space magnetic skyrmionic textures are reported by employing a 3D-WKB combined…

Materials Science · Physics 2020-10-27 Krisztián Palotás , Levente Rózsa , Eszter Simon , László Szunyogh

We introduce and systematically investigate a new class of topological magnetic textures, skyrmionium meta-matter, composed of skyrmioniums (Skm, $Q=0$) and skyrmions (Sk, $Q=-1$) arranged in periodic lattices mimicking the richness of…

Mesoscale and Nanoscale Physics · Physics 2025-11-21 Andrey O. Leonov , Kaito Nakamura

The nontrivial topology of spin systems such as skyrmions in real space can promote complex electronic states. Here, we provide a general viewpoint at the emergence of topological electronic states in spin systems based on the methods of…

Materials Science · Physics 2023-10-16 Fabian R. Lux , Sumit Ghosh , Pascal Prass , Emil Prodan , Yuriy Mokrousov