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Skyrmion gases and lattices in helimagnets are studied, and the size of a Skyrmion in various phases is estimated. For isolated Skyrmions, the long distance tail is related to the magnetization correlation functions and exhibits power-law…

Strongly Correlated Electrons · Physics 2011-12-30 Kwan-yuet Ho , Theodore R. Kirkpatrick , Dietrich Belitz

Facing the ever-growing demand for data storage will most probably require a new paradigm. Magnetic skyrmions are anticipated to solve this issue as they are arguably the smallest spin textures in magnetic thin films in nature. We designed…

We present a micromagnetic theory of compact magnetic skyrmions under applied magnetic field that accounts for the full dipolar energy and the interfacial Dzyaloshinskii-Moryia interaction (DMI) in the thin film regime. Asymptotic analysis…

Materials Science · Physics 2024-06-18 Anne Bernand-Mantel , Anaïs Fondet , Sarah Barnova , Theresa M. Simon , Cyrill B. Muratov

The unusual magnetic behaviour of helimagnet MnSi, noticed in recent years, prompted the suspicion that the magnetic states arising in such crystals are of topological nature. Recent experiments based on the topological Hall effect…

Other Condensed Matter · Physics 2009-06-18 Anjan Kundu

Magnetic skyrmions with its topologically protected, nano-sized spin textures have already earned immense fame as information carriers due to their stability and low-current mobility. While ferromagnetic skyrmions suffer from a transverse…

Strongly Correlated Electrons · Physics 2025-07-01 Rajdip Banerjee , Satyaki Kar

We study theoretically, via Monte Carlo simulations on lattices containing up to 1000 x 1000 spins, thermal creation of skyrmion lattices in a 2D ferromagnetic film with perpendicular magnetic anisotropy and Dzyaloshinskii-Moriya…

Materials Science · Physics 2025-02-17 Dmitry A. Garanin , Eugene M. Chudnovsky , Senfu Zhang , Xixiang Zhang

Motivated by experimental findings in [ 1 ] and [ 2 ], we find an elliptical skyrmion can be nucleated in a material with a Dzyaloshinskii-Moriya interaction (DMI) that supports antiskyrmions. The DMI favors the elongation of the skyrmion…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Daniel Capic

This paper describes a lattice version of the Skyrme model in 2+1 and 3+1 dimensions. The discrete model is derived from a consistent discretization of the radial continuum problem. Subsequently, the existence and stability of the skyrmion…

Exactly Solvable and Integrable Systems · Physics 2008-12-18 Theodora Ioannidou , Panos Kevrekidis

We report Monte-Carlo studies of the orientational order and melting of a 2D skyrmion lattice containing more than one million spins. Two models have been investigated, a microscopic model of lattice spins with Dzyaloshinskii-Moryia…

Materials Science · Physics 2025-02-14 Dmitry A. Garanin , Eugene M. Chudnovsky

We numerically demonstrate an ultrafast method to create $\textit{single}$ skyrmions in a $\textit{collinear}$ ferromagnetic sample by applying a picosecond (effective) magnetic field pulse in the presence of Dzyaloshinskii-Moriya…

Mesoscale and Nanoscale Physics · Physics 2017-12-01 Vegard Flovik , Alireza Qaiumzadeh , Ashis K. Nandy , Changhoon Heo , Theo Rasing

We have performed micromagnetic simulations to study the formation of skyrmions in ferromagnetic elements with different shapes having perpendicular anisotropy. The strength of Dzyaloshinskii-Moriya interaction (D) and uniaxial anisotropy…

Mesoscale and Nanoscale Physics · Physics 2021-10-06 Aroop Kumar Behera , Swapna Sindhu Mishra , Sougata Mallick , Braj Bhusan Singh , Subhankar Bedanta

Chiral magnets are an emerging class of topological matter harbouring localized and topologically protected vortex-like magnetic textures called skyrmions, which are currently under intense scrutiny as a new entity for information storage…

Skyrmions are disk-like objects that typically form triangular crystals in two dimensional systems. This situation is analogous to the so-called "pancake vortices" of quasi-two dimensional superconductors. The way in which skyrmion disks or…

Materials Science · Physics 2018-02-15 Shi-Zeng Lin , Cristian D. Batista

Topological Skyrmions as intricate spin textures were observed experimentally in helimagnets on 2d plane. Theoretical foundation of such solitonic states to appear in pure ferromagnetic model, as exact solutions expressed through any…

Statistical Mechanics · Physics 2016-06-22 Anjan Kundu

We report simulation results of skyrmions on fluctuating 2D lattices, where the vertices ${\bf r}_i (\in {\bf R}^3)$ are treated as a dynamical variable and, hence, there is no crystalline structure. On the fluctuating surfaces, an external…

Strongly Correlated Electrons · Physics 2019-10-07 Sahbi EL Hog , Fumitake Kato , Hiroshi Koibuchi , Hung T. Diep

A regular lattice of magnetic skyrmions is the ground state of thin ferromagnetic films with Dzyaloshinskii-Moriya interaction in a relatively wide range of external magnetic fields. It was previously theoretically shown that upon the…

Strongly Correlated Electrons · Physics 2026-05-27 V. E. Timofeev , D. N. Aristov

Recent Lorentz transmission electron microscopy experiments have revealed a variety of noncollinear spin textures including topological magnetisms such as skyrmions, biskyrmions and multiple skyrmions in thin-plate magnetic samples of e.g.,…

Strongly Correlated Electrons · Physics 2023-07-26 Tatsuki Muto , Masahito Mochizuki

We study the classical antiferromagnetic Heisenberg model on the triangular lattice with Dzyaloshinskii-Moriya interactions in a magnetic field. We focus in particular in the emergence of a composite spin crystal phase, dubbed…

Strongly Correlated Electrons · Physics 2017-07-12 S. A. Osorio , H. D. Rosales , M. B. Sturla , D. C. Cabra

Isotropic Heisenberg exchange naturally appears as the main interaction in magnetism, usually favouring long-range spin-ordered phases. The anisotropic Dzyaloshinskii-Moriya interaction arises from relativistic corrections and is a priori…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 E. A. Stepanov , S. A. Nikolaev , C. Dutreix , M. I. Katsnelson , V. V. Mazurenko

Thermal collapse of an isolated skyrmion on a two-dimensional spin lattice has been investigated. The method is based upon solution of the system of stochastic Landau-Lifshitz-Gilbert equations for up $10^4$ spins. Recently developed…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 Amel Derras-Chouk , Eugene M. Chudnovsky , Dmitry A. Garanin
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