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Magnetic skyrmions are topologically protected solitons observed in various classes of real magnets. In two-dimensional systems, where the target space of local magnetization values is the two-sphere $S^2$, skyrmion textures are classified…

Strongly Correlated Electrons · Physics 2025-06-30 Fletcher Williams , David Dahlbom , Hao Zhang , Shruti Agarwal , Kipton Barros , Cristian D. Batista

Skyrmions have become one of the most visited topics during the last decade in condensed matter physics. In this work, and by means of analytical calculations and micromagnetic simulations, we explore the effect of the magnetostatic field…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 N. Vidal-Silva , A. Riveros , F. Tejo , J. Escrig , D. Altbir

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

We discuss the behavior of theories of fermions coupled to Chern-Simons gauge fields with a non-abelian gauge group in three dimensions and at finite temperature. Using non-perturbative arguments and gauge invariance, and in contradiction…

High Energy Physics - Theory · Physics 2019-08-15 Daniel Cabra , Eduardo Fradkin , Gerardo L. Rossini , Fidel A. Schaposnik

In the cubic chiral magnet Fe$_{1-x}$Co$_{x}$Si a metastable state comprising of topologically nontrivial spin whirls, so-called skyrmions, may be preserved down to low temperatures by means of field cooling the sample. This metastable…

Materials Science · Physics 2021-03-24 Peter Milde , Erik Neuber , Andreas Bauer , Christian Pfleiderer , Lukas M. Eng

We explore the hadron properties in dense baryonic matter in a unified way by using a Skyrme model constructed with an effective Lagrangian which includes the $\rho$ and $\omega$ vector mesons as hidden gauge bosons and is valid up to…

High Energy Physics - Phenomenology · Physics 2015-06-18 Yong-Liang Ma , Masayasu Harada , Hyun Kyu Lee , Yongseok Oh , Mannque Rho

We show that thermal stability of magnetic skyrmions can be strongly affected by entropic effects. The lifetimes of isolated skyrmions in atomic Pd/Fe bilayers on Ir(111) and on Rh(111) are calculated in the framework of harmonic transition…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Stephan von Malottki , Pavel F. Bessarab , Soumyajyoti Haldar , Anna Delin , Stefan Heinze

The stability of magnetic skyrmions against thermal fluctuations and external perturbations is investigated within the framework of harmonic transition state theory for magnetic degrees of freedom. The influence of confined geometry and…

Materials Science · Physics 2018-12-26 Valery M. Uzdin , Maria N. Potkina , Igor S. Lobanov , Pavel F. Bessarab , Hannes Jónsson

Due to their exceptional topological and dynamical properties magnetic skyrmions - localized stable spin structures on the nanometre scale - show great promise for future spintronic applications. To become technologically competitive,…

We study the behavior of skyrmions in thin films under the action of stochastic torques arising from thermal fluctuations. We find that the Brownian motion of skyrmions is described by a stochastic Thiele's equation and its corresponding…

Mesoscale and Nanoscale Physics · Physics 2014-07-03 Roberto E. Troncoso , Alvaro S. Núñez

Skyrmions are topologically protected non-collinear magnetic structures. Their stability and dynamics, arising from their topological character, have made them ideal information carriers e.g. in racetrack memories. The success of such a…

We study spherically symmetric black hole solutions with Skyrme hair in the Einstein-Skyrme theory with a negative cosmological constant. The dependence of the skyrmion field configuration on the cosmological constant is examined. The…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Noriko Shiiki , Nobuyuki Sawado

Ne\'el skyrmions originate from interfacial Dzyaloshinskii Moriya interaction (DMI). Recent studies have explored using thin-film ferromagnets and ferrimagnets to host Ne\'el skyrmions for spintronic applications. However, it is unclear if…

Mesoscale and Nanoscale Physics · Physics 2019-07-02 Chung Ting Ma , Yunkun Xie , Howard Sheng , Avik W. Ghosh , S. Joseph Poon

Novel types of barrel-shaped chiral skyrmions can exist as isolated topological defects or as bound states in magnetic nanolayers with intrinsic and surface/interface induced chirality. The equilibrium parameters of chiral modulations…

Mesoscale and Nanoscale Physics · Physics 2014-04-29 A. O. Leonov

We offer the Skyrme model on a lattice as an effective field theory - fully quantized - of baryon-meson interactions at temperatures below the chiral phase transition. We define a local topological density that involves the volumes of…

High Energy Physics - Lattice · Physics 2009-10-31 Alec J. Schramm , Benjamin Svetitsky

Magnetic skyrmions are hailed as a potential technology for data storage and other data processing devices. However, their stability against thermal fluctuations is an open question that must be answered before skyrmion-based devices can be…

The Skyrme model is considered quantum mechanically ab initio in various irreducible representations of the SU(2) group. The canonical quantization procedure yields negative mass correction ensuring existence of stabile soliton solution…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Acus , E. Norvaišas

A magnetic skyrmion is a topological object that can exist as a solitary embedded in the vast ferromagnetic phase, or coexists with a group of its "siblings" in various stripy phases as well as skyrmion crystals (SkXs). Isolated skyrmions…

Mesoscale and Nanoscale Physics · Physics 2021-03-25 H. T. Wu , X. C. Hu , K. Y. Jing , X. R. Wang

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

This paper explores the energy landscape of ferromagnetic multilayer heterostructures that feature magnetic skyrmions -- tiny whirls of spins with non-trivial topology -- in each magnetic layer. Such magnetic heterostructures have been…

Analysis of PDEs · Mathematics 2026-04-03 N. J. Dubicki , V. V. Slastikov , A. Bernand-Mantel , C. B. Muratov