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Magnetic skyrmions have so far been treated as two-dimensional spin structures characterized by a topological winding number describing the rotation of spins across the skyrmion. However, in real systems with a finite thickness of the…

A variety of distinct anisotropic exchange interactions commonly exist in one magnetic material due to complex crystal, magnetic and orbital symmetries. Here we investigate the effects of multiple anisotropic exchange interactions on…

Strongly Correlated Electrons · Physics 2025-12-29 Jin-Yu Ni , Xia-Ming Zheng , Peng-Tao Wei , Da-Yong Liu , Liang-Jian Zou

Topological textures like vortices, labyrinths and skyrmions formed in ferroic materials have attracted extensive interests during the past decade for their fundamental physics, intriguing topology, and technological prospects. So far,…

We generate a crystal of skyrmions in two dimensions using a Heisenberg Hamiltonian including the ferromagnetic interaction J, the Dzyaloshinskii-Moriya interaction D, and an applied magnetic field H. The ground state (GS) is determined by…

Statistical Mechanics · Physics 2018-04-04 Sahbi El Hog , Aurélien Bailly-Reyre , H. T. Diep

The surfaces of intrinsic magnetic topological insulators (TIs) host magnetic moments exchange-coupled to Dirac electrons. We study the magnetic phases arising from tuning the electron density using variational and exact diagonalization…

Mesoscale and Nanoscale Physics · Physics 2021-08-23 Nisarga Paul , Liang Fu

Skyrmions represent topologically stable field configurations with particle-like properties. We used neutron scattering to observe the spontaneous formation of a two-dimensional lattice of skyrmion lines, a type of magnetic vortices, in the…

Strongly Correlated Electrons · Physics 2015-05-13 S. Mühlbauer , B. Binz , F. Jonietz , C. Pfleiderer , A. Rosch , A. Neubauer , R. Georgii , P. Böni

Swirling topological spin configurations, known as magnetic skyrmions, are known to be stabilised in chiral ferromagnets with Dzyaloshinskii-Moriya interaction (DMI). In particular, for appropriate values of the external magnetic field they…

Strongly Correlated Electrons · Physics 2019-12-18 S. A. Osorio , M. B. Sturla , H. D. Rosales , D. C. Cabra

Skyrmions in condensed matter physics appear as classical topological spin structures. This nontrivial state can be obtained solving the corresponding micromagnetic model, where the magnetization is treated as a continuous classical vector…

Strongly Correlated Electrons · Physics 2018-11-28 O. M. Sotnikov , V. V. Mazurenko , J. Colbois , F. Mila , M. I. Katsnelson , E. A. Stepanov

Topological spin textures, such as a skyrmion crystal, are a source of unusual physical phenomena owing to the interplay between magnetism and topology. Since physical phenomena depend on the topological property and the symmetry of…

Strongly Correlated Electrons · Physics 2023-02-01 Ryota Yambe , Satoru Hayami

Magnetic skyrmions widely exist in a diverse range of magnetic systems, including chiral magnets with a non-centrosymmetric structure characterized by Dzyaloshinkii-Moriya interaction~(DMI). In this study, we propose a generalized…

Numerical Analysis · Mathematics 2023-04-13 Panchi Li , Shuting Gu , Jin Lan , Jingrun Chen , Weiqing Ren , Rui Du

Facing the ever-growing demand for data storage will most probably require a new paradigm. Nanoscale magnetic skyrmions are anticipated to solve this issue as they are arguably the smallest spin textures in magnetic thin films in nature. We…

Skyrmions are twirling magnetic textures whose non-trivial topology leads to particle-like properties promising for information technology applications. Perhaps the most important aspect of interacting particles is their ability to form…

Strongly Correlated Electrons · Physics 2020-06-17 Ping Huang , Marco Cantoni , Arnaud Magrez , Fabrizio Carbone , Henrik M. Rønnow

Centrosymmetric compounds which host three-dimensional topological spin structures comprise a distinct subclass of materials in which multiple-$\mathbf{q}$ magnetic order is stabilized by anisotropy and bond frustration in contrast to the…

Recently spin textures called skyrmions have been discovered in certain chiral magnetic materials without spatial inversion symmetry, and have attracted enormous attention due to their promising application in spintronics since only a low…

Strongly Correlated Electrons · Physics 2013-06-18 Shi-Zeng Lin , Charles Reichhardt , Cristian D. Batista , Avadh Saxena

Magnetic skyrmions are topological quasi particles of great interest for data storage applications because of their small size, high stability, and ease of manipulation via electric current. Theoretically, however, skyrmions are poorly…

Materials Science · Physics 2018-03-20 Felix Büttner , Ivan Lemesh , Geoffrey S. D. Beach

Spin transfer torque (STT) affords magnetic nanodevices the potential to act as memory, computing, and microwave elements operating at ultra-low currents and at a low energy cost. Spin transfer torque is not only effective in manipulating…

Mesoscale and Nanoscale Physics · Physics 2014-09-19 Y. Zhou , E. Iacocca , A. Awad , R. K. Dumas , F. C. Zhang , H. B. Braun , J. Åkerman

The magnetic skyrmion with the topological number of unity ($Q=1$) is a well-known nanometric swirling spin structure in the nonlinear $\sigma$ model with the Dzyaloshinskii-Moriya interaction. Here, we show that magnetic skyrmion with the…

Mesoscale and Nanoscale Physics · Physics 2016-01-22 Xichao Zhang , Yan Zhou , Motohiko Ezawa

Magnetic skyrmions are topologically non-trivial spin textures of potential interest for future information storage applications, and for such purposes, the control and understanding of single skyrmion creation is required. A scheme is…

Mesoscale and Nanoscale Physics · Physics 2016-05-11 Gen Yin , Yufan Li , Lingyao Kong , Roger K. Lake , C. L. Chien , Jiadong Zang

Thin magnetic films with Dzyaloshinskii-Moriya interactions are known to host skyrmion crystals, which typically have a hexagonal lattice structure. We investigate skyrmion-lattice configurations in synthetic antiferromagnets, i.e., a…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 Etienne van Walsem , Rembert A. Duine , Juriaan Lucassen , Reinoud Lavrijsen , Henk J. M. Swagten

The notion of non-trivial topological winding in condensed matter systems represents a major area of present-day theoretical and experimental research. Magnetic materials offer a versatile platform that is particularly amenable for the…