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In this letter, we report the visualization of topologically protected spin textures, in the form of magnetic skyrmions, in recently discovered monoatomic-thin two-dimensional CrI$_3$. By combining density functional theory and atomistic…

Materials Science · Physics 2019-07-24 Aroop K. Behera , Sugata Chowdhury , Suprem R. Das

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…

The skyrmion number density, $q\equiv\vec{n}\cdot\left(\partial_x\vec{n}\times\partial_y\vec{n}\right)/(4\pi)$, is one of the key quantities that characterizes the topological properties of a magnetic skyrmion. In this work, we propose a…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Emir Syahreza Fadhilla , M Shoufie Ukhtary , Ardian Nata Atmaja , Bobby Eka Gunara

Magnetic skyrmions are topologically protected spin structures that naturally emerge in magnetic materials. While a vast amount of effort has gone into the study of their properties, their counterpart of opposite topological charge, the…

Strongly Correlated Electrons · Physics 2021-10-01 Juan C. Criado , Peter D. Hatton , Sebastian Schenk , Michael Spannowsky , Luke A. Turnbull

Dynamic and stable magnetic textures offer a powerful platform for controlling magnon states in the broader context of spin electronics. In this work, we uncover a novel class of dynamical, crystal-like localization patterns in real space,…

Mesoscale and Nanoscale Physics · Physics 2026-01-05 Adarsh Hullahalli , Christos Panagopoulos , Christina Psaroudaki

Competing magnetic interactions may stabilize smooth magnetization textures that can be characterized by a topological winding number. Such textures, which are spatially localized within a two-dimensional plane, are commonly known as…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Alexander P. Petrović , Christina Psaroudaki , Peter Fischer , Markus Garst , Christos Panagopoulos

Topological magnetic textures, characterized by integer topological charge $S$, are potential candidates in future magnetic logic and memory devices, due to their smaller size and expected low threshold current density for their motion. An…

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

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

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…

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

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

We report the discovery of a thermodynamically stable skyrmion-antiskyrmion lattice in two-dimensional heterostructures, a novel state exhibiting a net-zero global topological charge owing to an equal population of skyrmions and…

Materials Science · Physics 2025-10-23 Sayan Banik , Ashis K. Nandy

We explore spatially localized solitonic configurations of a director field, generated using optical realignment and laser-induced heating, in frustrated chiral nematic liquid crystals confined between substrates with perpendicular surface…

Soft Condensed Matter · Physics 2016-12-30 Paul J. Ackerman , Rahul P. Trivedi , Bohdan Senyuk , Jao van de Lagemaat , Ivan I. Smalyukh

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 re-examine the internal structure of skyrmioniums stabilized in quasi-two-dimensional chiral magnets with easy-axis uniaxial anisotropy. Skyrmioniums are particle-like states of two nested skyrmions with opposite polarities contributing…

Mesoscale and Nanoscale Physics · Physics 2024-04-17 Kaito Nakamura , Andrey O. Leonov

We present the creation and time evolution of two-dimensional Skyrmion excitations in an antiferromagnetic spinor Bose-Einstein condensate. Using a spin rotation method, the Skyrmion spin textures were imprinted on a sodium condensate in a…

Quantum Gases · Physics 2012-04-12 Jae-yoon Choi , Woo Jin Kwon , Yong-il Shin

In bulk non-centrosymmetric magnets the chiral Dzyaloshinskii-Moriya exchange stabilizes tubular skyrmions with a reversed magnetization in their centers. While the double-twist is favorable in the center of a skyrmion, it gives rise to an…

Mesoscale and Nanoscale Physics · Physics 2016-08-11 A. O. Leonov , U. K. Rößler , M. Mostovoy

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

Magnetic skyrmion bags, as high-order topological swirling spin textures, offer rich fundamental physics and distinct advantages for spintronic applications; however, their realization remains a formidable challenge, especially in…

Materials Science · Physics 2026-02-25 Junhuang Yang , Kaiying Dou , Ying Dai , Baibiao Huang , Yandong Ma