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Recently, there has been substantial interest in realizations of skyrmions, in particular in 2D systems due to increased stability resulting from reduced dimensionality. A stable skyrmion, representing the smallest realizable magnetic…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 Utkan Güngördü , Rabindra Nepal , Oleg A. Tretiakov , Kirill Belashchenko , Alexey A. Kovalev

Magnetic skyrmions in two-dimensional lattice are a prominent topic of condensed matter physics and material science. Current research efforts in this field are exclusively constrained to Neel-type and antiskyrmion, while Bloch-type…

Materials Science · Physics 2023-04-04 Wenhui Du , Kaiying Dou , Ying Dai , Baibiao Huang , Yandong Ma

We consider solutions of the Yang-Mills-Higgs system coupled to gravity in asymptotically de Sitter spacetime. The basic features of two classes of solutions are discussed, one of them corresponding to magnetic monopoles, the other one to…

High Energy Physics - Theory · Physics 2009-11-11 Yves Brihaye , Betti Hartmann , Eugen Radu

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

We study the quantum mechanics of magnetic skyrmions in the vicinity of the skyrmion-crystal to ferromagnet phase boundary in two-dimensional magnets. We show that the skyrmion excitation has an energy dispersion that splits into multiple…

Strongly Correlated Electrons · Physics 2016-11-03 Rina Takashima , Hiroaki Ishizuka , Leon Balents

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

Magnetic skyrmions are topological objects, which have recently been observed in thin films at room temperature. Sub 100-nm sizes and spin polarised current manipulation make them candidates for high density information storage and…

Mesoscale and Nanoscale Physics · Physics 2021-07-05 Laurent Ranno , Maria Alfonso Moro

Magnetic skyrmions are nano-scale magnetic states that could be used in various spintronics devices. A central issue is the mechanism and rate of various possible annihilation processes and the lifetime of metastable skyrmions. While most…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Sergei M. Vlasov , Pavel F. Bessarab , Igor S. Lobanov , Mariia N. Potkina , Valery M. Uzdin , Hannes Jónsson

We formulate a theory of skyrmion and antiskyrmion generation using magnetic field and charge current pulses. We show that the topological defect can be created at an edge of a system with Dzyaloshinskii-Moriya interaction (DMI) as well as…

Mesoscale and Nanoscale Physics · Physics 2021-08-19 Shane Sandhoefner , Aldo Raeliarijaona , Rabindra Nepal , Dalton Snyder-Tinoco , Alexey A. Kovalev

The Abelian Higgs model with or without external particles is considered in curved space. Using the dual transformation, we rewrite the model in terms of dual gauge fields and derive the Bogomol'nyi-type bound. We examine cylindrically…

High Energy Physics - Theory · Physics 2010-11-01 Chanju Kim , Yoonbai Kim

Magnetic skyrmions are small swirling topological defects in the magnetization texture stabilized by the protection due to their topology. In most cases they are induced by chiral interactions between atomic spins existing in…

Materials Science · Physics 2017-12-21 Albert Fert , Nicolas Reyren , Vincent Cros

Magnetic monopoles, despite their ongoing experimental search as elementary particles, have inspired the discovery of analogous excitations in condensed matter systems. In chiral condensed matter systems, emergent monopoles are responsible…

Soft Condensed Matter · Physics 2023-10-11 Jung-Shen B. Tai , Andrew J. Hess , Jin-Sheng Wu , Ivan I. Smalyukh

We derive the Bogomolny decompositions (Bogomolny equations) for: full baby Skyrme model and for its restricted version (so called, pure baby Skyrme model), in (2+0) dimensions, by using so called, concept of strong necessary conditions. It…

Mathematical Physics · Physics 2015-06-04 Ł. T. Stȩpień

We demonstrate the controlled generation and annihilation of (anti)skyrmions with tunable chirality in magnetic heterostructures by means of micromagnetic simulations. By making use of magnetic (anti)vortices in patterned ferromagnetic…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Sabri Koraltan , Claas Abert , Florian Bruckner , Michael Heigl , Manfred Albrecht , Dieter Suess

A gauged (2+1)-dimensional version of the Skyrme model is investigated. The gauge group is $U(1)$ and the dynamics of the associated gauge potential is governed by a Maxwell term. In this model there are topologically stable soliton…

High Energy Physics - Theory · Physics 2009-03-09 J. Gladikowski , B. M. A. G. Piette , B. J. Schroers

Without assuming rotational invariance, we derive Bogomol'nyi equations for the solitons in the abelian Chern-Simons gauge theories with the anomalous magnetic moment interaction. We also evaluate the number of zero modes around a static…

High Energy Physics - Theory · Physics 2009-10-28 Taejin Lee , Hyunsoo Min

We investigate the formation of singularities in a baby Skyrme type energy model, which describes magnetic solitons in two-dimensional ferromagnetic systems. In presence of a diverging anisotropy term, which enforces a preferred background…

Analysis of PDEs · Mathematics 2025-03-20 Luca Briani , Marco Cicalese , Leonard Kreutz

Topological analysis of nearly SO(3)_{spin} symmetric Ginzburg--Landau theory, proposed for UPt$_{3}$ by Machida et al, shows that there exists a new class of solutions carrying two units of magnetic flux: the magnetic skyrmion. These…

Superconductivity · Physics 2009-10-31 A. Knigavko , B. Rosenstein

The noncommutative baby Skyrme model is a Moyal deformation of the two-dimensional sigma model plus a Skyrme term, with a group-valued or Grassmannian target. Exact abelian solitonic solutions have been identified analytically in this…

High Energy Physics - Theory · Physics 2015-06-17 Andrei Domrin , Olaf Lechtenfeld , Roman Linares , Marco Maceda

We study the Yang-Mills-Higgs system within the framework of general relativity. In the static situation, using Bogomol'nyi type analysis, we derive a positive-definite energy functional which has a lower bound. Specializing to the gauge…

High Energy Physics - Phenomenology · Physics 2010-11-01 Nguyen Ai Viet , Kameshwar C. Wali
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