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Related papers: Magnetic Skyrmions at Critical Coupling

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Skyrmions are topological defects belonging to nontrivial homotopy classes in particle theory. Their remarkably stable topology has recently been observed in electromagnetic waves. For the evanescent fields near a surface, this has been…

A spin texture called skyrmion has been recently observed in certain chiral magnets without inversion symmetry. The observed skyrmions are extended objects with typical linear sizes of 10 nm to 100 nm that contain $10^3$ to $10^5$ spins and…

Strongly Correlated Electrons · Physics 2014-01-24 Shi-Zeng Lin , Cristian D. Batista , Avadh Saxena

Magnetic skyrmions are topologically protected spin textures that exhibit many fascinating features. As compared to the well-studied cryogenic Bloch skyrmions in bulk materials, we focus on the room-temperature N\'eel skyrmions in thin-film…

Magnetic skyrmions are chiral spin textures with attractive features, such as ultra-small size, solitonic nature, and easy mobility with small electrical currents that make them promising as information-carrying bits in low-power…

Mesoscale and Nanoscale Physics · Physics 2022-06-17 Md Golam Morshed , Hamed Vakili , Avik W. Ghosh

We propose and investigate several complex versions of extensions and restrictions of the Skyrme model with a well-defined Bogomolny-Prasad-Sommerfield (BPS) limit. The models studied possess complex kink, anti-kink, semi-kink, massless and…

High Energy Physics - Theory · Physics 2021-08-13 Francisco Correa , Andreas Fring , Takanobu Taira

Magnetic skyrmions have recently attracted great attentions. However they are harbored in very limited numbers of magnets up to now. The search of new helimagnetic materials is thus an urgent topic in the field of skyrmion physics. In this…

Mesoscale and Nanoscale Physics · Physics 2015-02-16 Wei Li , Jiadong Zang

We derive several new Bogomol'nyi (self-dual) equations in two-species $U(1)\times U(1)$ gauge theories governed by the Born--Infeld nonlinear electrodynamics. By identifying appropriate Born--Infeld type Higgs potentials, we show that the…

High Energy Physics - Theory · Physics 2026-01-16 Aonan Xu , Yisong Yang

Magnetic skyrmions are chiral spin structures with a whirling configuration. Their topological properties, nanometer size and the fact that they can be moved by small current densities have opened a new paradigm for the manipulation of…

We consider a version of the Skyrme model where both the kinetic term and the Skyrme term are multiplied by field-dependent coupling functions. For suitable choices, this "dielectric Skyrme model" has static solutions saturating the…

High Energy Physics - Theory · Physics 2020-07-15 C. Adam , K. Oles , A. Wereszczynski

We study a variational problem for the Landau--Lifshitz energy with Dzyaloshinskii--Moriya interactions arising in 2D micromagnetics, focusing on the Bogomol'nyi regime. We first determine the minimal energy for arbitrary topological…

Analysis of PDEs · Mathematics 2026-01-01 Slim Ibrahim , Tatsuya Miura , Carlos Román , Ikkei Shimizu

The magnetization reversal in 330 nm triangular prismatic magnetic nanoelements with variable magnetocrystalline anisotropy similar to that of partially chemically ordered FePt is studied using micromagnetic simulations employing Finite…

Computational Physics · Physics 2019-03-27 Leonidas N. Gergidis , Vasileios D. Stavrou , Drosos Kourounis , Ioannis Panagiotopoulos

The realization of magnetic skyrmions in two-dimensional (2D) magnets holds great promise for both fundamental research and device applications. Despite recent progress, two-dimensional skyrmion hosts are still limited, due to the fact that…

Materials Science · Physics 2026-02-27 Jingman Pang , Xiaohang Niu , Hong Jian Zhao , Yun Zhang , Laurent Bellaiche

Skyrmions with a realistic value of the pion mass parameter are expected to be quite compact structures, but beyond baryon number B=8 only a few examples are known. The largest of these is the cubically symmetric B=32 Skyrmion which is a…

High Energy Physics - Theory · Physics 2015-05-28 N. S. Manton

In this work we explore the relationship between two ideas recently introduced in the literature. The first one deals with a quantity related to the informational contents of solutions of spatially localized structures, and the second…

Mesoscale and Nanoscale Physics · Physics 2019-01-08 D. Bazeia , D. C. Moreira , E. I. B. Rodrigues

We construct exact vortex solutions in 3+1 dimensions to a theory which is an extension, due to Gies, of the Skyrme-Faddeev model, and that is believed to describe some aspects of the low energy limit of the pure SU(2) Yang-Mills theory.…

High Energy Physics - Theory · Physics 2010-01-15 L. A. Ferreira

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 prime candidates for future spintronic devices. However, incorporating them as an entity for information technology hinges on their interaction with defects ubiquitous to any device. Here we map from first-principles,…

Mesoscale and Nanoscale Physics · Physics 2018-10-23 Imara Lima Fernandes , Juba Bouaziz , Stefan Blügel , Samir Lounis

We derive the Bogomol'nyi equations in generalized Abelian Higgs theories which allow the coexistence of vortices and antivortices over a compact Riemann surface or the full plane. In the compact surface situation, we obtain a necessary and…

Mathematical Physics · Physics 2025-10-13 Aonan Xu , Yisong Yang

Magnetic skyrmions are topological quasiparticles in magnetic field. Until recently, as one of their photonic counterparts, N\'eel-type photonic skyrmion is discovered in surface plasmon polaritons. The deep-subwavelength features of the…

Optics · Physics 2026-03-02 Qiang Zhang , Zhenwei Xie , Luping Du , Peng Shi , Xiaocong Yuan

One-loop quantum corrections to the classical vortices in 2+1 dimensional O(3)-models are evaluated. Skyrme and Zeeman potential terms are used to stabilize the size of topological solitons. Contributions from zero modes, bound-states and…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. Walliser , G. Holzwarth