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We study the effects of an in-plane Dzyaloshinskii-Moriya interaction under an external magnetic field in the highly frustrated kagome antiferromagnet. We focus on the low-temperature phase diagram, which we obtain through extensive…

Strongly Correlated Electrons · Physics 2019-12-11 M. E. Villalba , F. A. Gómez Albarracín , H. D. Rosales , D. C. Cabra

We introduce a family of models for magnetic skyrmions in the plane for which infinitely many solutions can be given explicitly. The energy defining the models is bounded below by a linear combination of degree and total vortex strength,…

Strongly Correlated Electrons · Physics 2020-01-27 Bruno Barton-Singer , Calum Ross , Bernd J Schroers

We demonstrate the formation of metastable N\'eel-type skyrmion arrays in Pt/Co/Ni/Ir multi-layers at zero-field following \textit{ex situ} application of an in-plane magnetic field using Lorentz transmission electron microscopy. The…

By introducing biquadratic together with usual bilinear ferromagnetic nearest neighbor exchange interaction in a square lattice, we find that the energy of the spin-wave mode is minimized at a finite wavevector for a vanishingly small…

Mesoscale and Nanoscale Physics · Physics 2021-06-22 Sandip Bera , Sudhansu S. Mandal

Chiral magnetic skyrmions are topological solitons, of significant physical interest, arising in ferromagnets described by a micromagnetic energy including a chiral (Dzyaloshinskii-Moriya) interaction term. We show that for small chiral…

Analysis of PDEs · Mathematics 2020-04-03 Stephen Gustafson , Li Wang

We investigate an instability toward a square-lattice formation of magnetic skyrmions in centrosymmetric layered systems. By focusing on a bilayer square-lattice structure with the inversion center at the interlayer bond instead of the…

Mesoscale and Nanoscale Physics · Physics 2022-09-23 Satoru Hayami

We construct discrete analogs of Skyrmions in nonlinear dynamical lattices. The Skyrmion is built as a vortex soliton of a complex field, coupled to a dark radial soliton of a real field. Adjusting the Skyrmion ansatz to the lattice setting…

Other Condensed Matter · Physics 2012-05-11 P. G. Kevrekidis , R. Carretero-Gonzalez , D. J. Frantzeskakis , B. A. Malomed , F. K. Diakonos

Chiral skyrmions are stable particle-like solutions of the Landau-Lifshitz equation for ferromagnets with the Dzyaloshinskii-Moriya (DM) interaction, characterized by a topological number. We study the profile of an axially symmetric…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Stavros Komineas , Christof Melcher , Stephanos Venakides

The Dzyaloshinkii-Moriya (DM) interaction that originates from relativistic spin-orbit coupling in noncentrosymmetric magnets is a source of topological spin textures. We theoretically investigate the possibility of a skyrmion crystal by…

Strongly Correlated Electrons · Physics 2022-07-04 Satoru Hayami , Ryota Yambe

In the continuum a skyrmion is a topological nontrivial map between Riemannian manifolds, and a stationary point of a particular energy functional. This paper describes lattice analogues of the aforementioned skyrmions, namely a natural way…

Pattern Formation and Solitons · Physics 2015-01-23 E. G. Charalampidis , T. A. Ioannidou , P. G. Kevrekidis

We study realizations of spirals and skyrmions in two-dimensional antiferromagnets with a triangular lattice on an inversion-symmetry-breaking substrate. As a possible material realization, we investigate the adsorption of transition-metal…

Mesoscale and Nanoscale Physics · Physics 2021-05-07 Wuzhang Fang , Aldo Raeliarijaona , Po-Hao Chang , Alexey A. Kovalev , Kirill D. Belashchenko

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

In present paper we show that many properties of the baby skyrmions, which have been determined numerically, can be understood in terms of an analytic approximation. In particular, we show that this approximation captures properties of the…

High Energy Physics - Theory · Physics 2009-11-07 T. A. Ioannidou , V. B. Kopeliovich , W. J. Zakrzewski

It is common for the local inversion symmetry to break in crystals, even though the whole crystal has global inversion symmetry. This local inversion symmetry breaking allows for a local Dzyaloshinsky-Moriya interaction (DMI) in magnetic…

Materials Science · Physics 2024-05-17 Shi-Zeng Lin

We demonstrate a fast numerical method of theoretical studies of skyrmion lattice or spiral order in magnetic materials with Dzyaloshinsky-Moriya interaction. The method is based on the Fourier expansion of the magnetization combined with a…

Strongly Correlated Electrons · Physics 2019-05-01 Eugene Balkind , Aldo Isidori , Matthias Eschrig

The formation of a skyrmion crystal and its phase transition are studied taking into account the Dzyaloshinskii-Moriya (DM) interaction at the interface between a ferroelectric layer and a magnetic layer in a superlattice. The frustration…

Materials Science · Physics 2020-01-01 Ildus F. Sharafullin , H. T. Diep

A stable skyrmion, representing the smallest realizable magnetic texture, could be an ideal element for ultra-dense magnetic memories. Here, we review recent progress in the field of skyrmionics, which is concerned with studies of tiny…

Mesoscale and Nanoscale Physics · Physics 2018-10-01 Alexey A. Kovalev , Shane Sandhoefner

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

We develop a theory of the magnetic field-induced formation of Skyrmion crystal state in chiral magnets in two spatial dimensions, motivated by the recent discovery of the Skyrmionic phase of magnetization in thin film of…

Other Condensed Matter · Physics 2011-02-28 Jung Hoon Han , Jiadong Zang , Zhihua Yang , Jin-Hong Park , Naoto Nagaosa

Skyrmions are topological magnetic textures that can arise in non-centrosymmetric ferromagnetic materials. In most systems experimentally investigated to date, skyrmions emerge as classical objects. However, the discovery of skyrmions with…

Strongly Correlated Electrons · Physics 2022-12-07 Andreas Haller , Solofo Groenendijk , Alireza Habibi , Andreas Michels , Thomas L. Schmidt