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Since the 1950s Heisenberg and others have attempted to explain the appearance of countable particles in quantum field theory in terms of stable localized field configurations. As an exception Skyrme's model succeeded to describe nuclear…

Statistical Mechanics · Physics 2009-11-11 U. K. Roessler , A. N. Bogdanov , C. Pfleiderer

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

Magnetic skyrmions are topological quasiparticles potentially useful for memory and computing devices. Antiferromagnetic (AF) skyrmions present no transverse deflection, making them suitable candidates for data storage applications. After…

Strongly Correlated Electrons · Physics 2026-01-27 Inés Corte , Federico Holik , Lorena Rebón , Flavia A. Gómez Albarracín

Skyrmions are topological solitons that emerge in many physical contexts. In magnetism, they appear as textures of the spin-density field stabilized by different competing interactions and characterized by a topological charge that counts…

Mesoscale and Nanoscale Physics · Physics 2020-01-15 Hector Ochoa , Yaroslav Tserkovnyak

Magnetic skyrmions are topologically non-trivial spin whirls that may not be transformed continuously into topologically trivial states such as ferromagnetic spin alignment. In recent years lattice structures composed of skyrmions have been…

Strongly Correlated Electrons · Physics 2016-03-30 Andreas Bauer , Christian Pfleiderer

We develop a quantum theory of magnetic skyrmions and antiskyrmions in a spin-1/2 Heisenberg magnet with frustrating next-nearest neighbor interactions. Using exact diagonalization we show numerically that a quantum skyrmion exists as a…

Strongly Correlated Electrons · Physics 2020-01-01 Vivek Lohani , Ciarán Hickey , Jan Masell , Achim Rosch

Magnetic skyrmions are topologically stable spin swirls with particle-like character and potentially suitable for the design of high-density information bits. While most known skyrmion systems arise in noncentrosymmetric systems with…

In magnetism, skyrmions correspond to classical three-dimensional spin textures characterized by a topological invariant that keeps track of the winding of the magnetization in real space, a property that cannot be easily generalized to the…

Strongly Correlated Electrons · Physics 2022-01-04 O. M. Sotnikov , V. V. Mazurenko , J. Colbois , F. Mila , M. I. Katsnelson , E. A. Stepanov

Magnetic skyrmions are intriguing topological spin textures that have attracted great attention due to their potential for future spintronic devices. Skyrmions have so far been explored in different magnetic materials, such as ferromagnets,…

Magnetic skyrmions are chiral spin structures with non-trivial topology that comprise two-dimensional quasi-particles and are promising information carriers for data storage and processing devices. Skyrmion lattices in magnetic thin films…

Intricate spin textures in helimagnets, identified as stable topological Skyrmions, were observed experimentally, where Skyrme lattice was supposed to exhibit symmetric structures in the ground state. We show the possibility of asymmetric…

Strongly Correlated Electrons · Physics 2015-11-18 Anjan Kundu

In this review we discuss the latest results concerning development of the machine learning algorithms for characterization of the magnetic skyrmions that are topologically-protected magnetic textures originated from the…

Strongly Correlated Electrons · Physics 2023-04-06 Vladimir V. Mazurenko , Ilia A. Iakovlev , Oleg M. Sotnikov , Mikhail I. Katsnelson

An integer winding, i.e., topological charge, is a characteristic of skyrmions, which are topologically nontrivial spin patterns in magnets. They emerge when smooth two-dimensional spin configurations are stabilized by conflicting…

Quantum Physics · Physics 2025-09-24 Hillol Biswas

Skyrmions, topologically stable spin textures, are of great interest for new generations of spintronic devices. In general, the stabilization of skyrmions has been achieved in systems with broken inversion symmetry, where the asymmetric…

Magnetic skyrmions, topologically stable spin textures, have attracted significant interest due to their potential applications in information storage and processing. They are typically stabilized by the Dzyaloshinskii-Moriya interaction in…

Other Condensed Matter · Physics 2026-01-05 A. Vela Wac , F. A. Gómez Albarracín , D. C. Cabra

Skyrmions are topological magnetic textures, mostly treated classically, studied extensively due to their potential spintronics applications due to their topological stability. However, it remains unclear what physical phenomena…

Strongly Correlated Electrons · Physics 2024-07-16 Dhiman Bhowmick , Andreas Haller , Deepak S. Kathyat , Thomas L. Schmidt , Pinaki Sengupta

Skyrmions are spatially localized magnetic swirls which carry a nonzero integer topological charge. We study crystals of skyrmions in a two-dimensional ferromagnet model with chiral interactions induced by the presence of broken inversion…

Strongly Correlated Electrons · Physics 2021-07-22 Sopheak Sorn , Stefan Divic , Arun Paramekanti

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

Magnetic systems are an exciting realm of study that is being explored on smaller and smaller scales. One extremely interesting magnetic state that has gained momentum in recent years is the skyrmionic state. It is characterized by a vortex…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Patrick Johnson , A K Gangopadhyay , Ramki Kalyanaraman , Zohar Nussinov

The ground states of square lattice two-dimensional antiferromagnets with anisotropy in an external magnetic field are determined using Monte Carlo simulations and compared to theoretical analysis. We find a new phase in between the…

Mesoscale and Nanoscale Physics · Physics 2016-08-10 Rick Keesman , Mark Raaijmakers , A. E. Baerends , G. T. Barkema , R. A. Duine
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