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Magnetic skyrmions are swirling spin textures with topologically protected noncoplanarity. Recently, skyrmions with the topological number of unity have been extensively studied in both experiment and theory. We here show that a skyrmion…

Strongly Correlated Electrons · Physics 2018-10-24 Ryo Ozawa , Satoru Hayami , Yukitoshi Motome

A mutual interplay between the charge and spin degrees of freedom in itinerant magnets leads to a plethora of topological spin textures, such as magnetic skyrmion and vortex crystals, in both centrosymmetric and noncentrosymmetric hosts.…

Strongly Correlated Electrons · Physics 2022-11-15 Kaito Kobayashi , Satoru Hayami

We show that skyrmions on the surface of a magnetic topological insulator may experience an attractive interaction that leads to the formation of a skyrmion-skyrmion bound state. This is in contrast to the case of skyrmions in a…

Mesoscale and Nanoscale Physics · Physics 2019-09-13 Kunal L. Tiwari , J. Lavoie , T. Pereg-Barnea , W. A. Coish

Skyrmions are topological solitons that emerge in many physical contexts. In magnetism, they appear as textures of the spin-density field stabilized by different competing interactions and characterized by a topological charge that counts…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Hector Ochoa , Yaroslav Tserkovnyak

The skyrmion crystal is a periodic array of a swirling topological spin texture. Since it is regarded as an interference pattern by multiple helical spin density waves, the texture changes with the relative phases among the constituent…

Strongly Correlated Electrons · Physics 2021-12-15 Satoru Hayami , Tsuyoshi Okubo , Yukitoshi Motome

In magnetism, skyrmions correspond to classical three-dimensional spin textures characterized by a topological invariant that keeps track of the winding of the magnetization in real space, a property that cannot be easily generalized to the…

Strongly Correlated Electrons · Physics 2022-01-04 O. M. Sotnikov , V. V. Mazurenko , J. Colbois , F. Mila , M. I. Katsnelson , E. A. Stepanov

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

The skyrmion is a topologically stable spin texture, in which the spin direction wraps a sphere. The topological nature gives rise to emergent electromagnetic phenomena such as topological Hall effect. Recently, the crystallization of…

Materials Science · Physics 2015-06-04 Y. Onose , Y. Okamura , S. Seki , S. Ishiwata , Y. Tokura

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

We study the spin waves of the triangular skyrmion crystal that emerges in a two dimensional spin lattice model as a result of the competition between Heisenberg exchange, Dzyalonshinkii-Moriya interactions, Zeeman coupling and uniaxial…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 A. Roldán-Molina , A. S. Nunez , J. Fernández-Rossier

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…

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

Skyrmion crystals have been primarily discovered under a magnetic field for materials with non-centrosymmetric interactions. More recent developments have investigated the stability of skyrmion crystals in itinerant magnets without magnetic…

Other Condensed Matter · Physics 2026-05-21 H. Bocquet , C. J. Ganahl , M. Scheurer , P. M. Derlet , A. M. Läuchli

Recent observations of topological spin textures brought spintronics one step closer to new magnetic memories. Nevertheless, the existence of Skyrmions, as well as their stabilization, require very specific intrinsic magnetic properties…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 E. A. Stepanov , C. Dutreix , M. I. Katsnelson

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…

Topological solitons, such as skyrmions, arise in field theories of systems ranging from Bose-Einstein condensates to optics, particle physics, and cosmology, but they are rarely accessible experimentally. Chiral nematic liquid crystals…

Applied Physics · Physics 2019-10-18 Hayley R. O. Sohn , Changda D. Liu , Ivan I. Smalyukh

Magnetic skyrmions are spatially localized whirls of spin moments in two dimension, featuring a nontrivial topological charge and a well-defined topological charge density. We demonstrate that the quantum dynamics of magnetic skyrmions is…

Strongly Correlated Electrons · Physics 2025-12-05 Sopheak Sorn , Jörg Schmalian , Markus Garst

A microscopic description of (baby)skyrmions in quantum Hall ferromagnets is derived from a scattering theory of collective (neutral) spin modes by a bare quasiparticle. We start by mapping the low lying spectrum of spin waves in the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. H. Oaknin , B. Paredes , C. Tejedor

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

Skyrmions are nanometric spin whirls that can be stabilized in magnets lacking inversion symmetry. The properties of isolated skyrmions embedded in a ferromagnetic background have been intensively studied. We show that single skyrmions and…

Strongly Correlated Electrons · Physics 2017-10-02 Jan Müller , Jayaraman Rajeswari , Ping Huang , Yoshie Murooka , Henrik M. Rønnow , Fabrizio Carbone , Achim Rosch
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