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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

We investigate the interplay of geometric symmetry, size, and external magnetic fields in regulating individual skyrmion states within magnetic nanostructures. By analyzing nanodisks, nanosquares, and nanorectangles, we demonstrate that…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 J. Y. Wang , C. X. Zhao , Y. F. Duan , H. M. Dong

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…

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

In this paper we discuss the construction and the dynamics of vortex-like topological spin excitations in the Schwinger-boson description of Heisenberg antiferromagnets in two dimensions. The topological spin excitations are Dirac fermions…

Strongly Correlated Electrons · Physics 2009-10-31 Tai-Kai Ng

Magnetic skyrmions are topological magnetic spin structures exhibiting particle-like behaviour. They are of strong interest from a fundamental viewpoint and for application, where they have potential to act as information carriers in future…

The geometrical spin torque mediates an indirect interaction of magnetic moments, which are weakly exchange coupled to a system of itinerant electrons. It originates from a finite spin-Berry curvature and leads to a non-Hamiltonian…

Strongly Correlated Electrons · Physics 2023-08-01 Nicolas Lenzing , David Krüger , Michael Potthoff

Magnetic skyrmions and bubbles, observed in ferromagnetic thin films with perpendicular magnetic anisotropy, are topological solitons which differ by their characteristic size and the balance in the energies at the origin of their…

In this thesis I present my research on the exotic configurations of antiferromagnetic systems characterised by a topological invariant. The research presented outlines the construction of novel local antiferromagnetic degrees of freedom…

Condensed Matter · Physics 2009-09-25 Jerome Benoit

In the continuum O(3) sigma model in two spatial dimensions, there are topological solitons whose size can be stabilized by adding Skyrme and potential terms. This paper describes a lattice version, namely a natural way of modifying the 2d…

High Energy Physics - Theory · Physics 2016-09-06 R. S. Ward

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

Topological magnetic solitons, such as skyrmions, exhibit intriguing particle-like properties that make them attractive for fundamental research and practical applications. While many magnetic systems can host skyrmions as statically stable…

Strongly Correlated Electrons · Physics 2025-01-22 Vladyslav M. Kuchkin , Bruno Barton-Singer , Pavel F. Bessarab , Nikolai S. Kiselev

Physical configurations corresponding to topological excitations present in the XY limit of a quantum spin 1/2 Heisenberg ferromagnet, are investigated on a two dimensional square lattice. Quantum vortices(anti-vortices) are constructed in…

Statistical Mechanics · Physics 2007-05-23 Ranjan Chaudhury , Samir K. Paul

Vortices the $SO(2)$ gauged planar Skyrme model, with a) only Maxwell, b) only Chern-Simons, and c) both Maxwell and Chern-Simons dynamics are studied systematically. In cases a) and b), where both models feature a single parameter…

High Energy Physics - Theory · Physics 2019-02-20 Francisco Navarro-Lerida , D. H. Tchrakian

Multiband superconductors have a sufficient number of degrees of freedom to allow topological excitations characterized by Skyrmionic topological invariants. In the most common, clean s-wave multiband, systems the interband magnetic…

Superconductivity · Physics 2019-12-04 Thomas Winyard , Mihail Silaev , Egor Babaev

Magnetic hopfions are string-like three-dimensional topological solitons, characterised by the Hopf invariant. They serve as a fundamental prototype for three-dimensional magnetic quasi-particles and are an inspiration for novel device…

Mesoscale and Nanoscale Physics · Physics 2023-03-15 Moritz Sallermann , Hannes Jónsson , Stefan Blügel

The magnetic skyrmion is a topological magnetic vortex, and its topological nature is characterized by an index called skyrmion number which is a mapping of the magnetic moments defined on a two-dimensional space to a unit sphere. In…

Mesoscale and Nanoscale Physics · Physics 2020-05-12 Wataru Koshibae , Naoto Nagaosa

We performed metadynamics Monte Carlo simulations to obtain the free energy as a function of the topological charge in the skyrmion-hosting magnetic model systems (Pt$_{0.95}$Ir$_{0.05}$)/Fe/Pd(111) and Pd/Fe/Ir(111), using a spin model…

Materials Science · Physics 2023-12-12 Balázs Nagyfalusi , László Udvardi , László Szunyogh , Levente Rózsa

We study the time evolution of a complex scalar field in the symmetry broken phase in the presence of oscillating spacetime metric background. In our (2+1)-dimensional simulations, we show that the spacetime oscillations can excite an…

High Energy Physics - Theory · Physics 2021-06-10 Shreyansh S. Dave , Sanatan Digal

In bulk helimagnets, the presence of magnetic skyrmion lattices is always accompanied by a periodic stress field due to the intrinsic magnetoelastic coupling. The release of this nontrivial stress field at the surface causes a periodic…

Materials Science · Physics 2018-06-13 Xuejin Wan , Yangfan Hu , Biao Wang