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Spin textures arise in the effective action approach to the quantum Hall effect. Up to now these textures, also called Skyrmions, have been mainly studied using approximations. Studies of its finite density form, the crystal, have been…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Niels R. Walet , Tom Weidig

Magnetic skyrmions are textures behaving as quasiparticles which are topologically different from other states. Their discovery in systems with broken inversion symmetry sparked the search for materials containing such magnetic phase at…

Magnetic skyrmions are two-dimensional non-collinear spin textures characterised by an integer topological number. They commonly crystallise at low temperatures in bulk noncentrosymmetric ferromagnets where the lack of inversion symmetry…

Skyrmions, topologically protected textures, have been observed in different fields of nanotechnology and have emerged as promising candidates for different applications due to their topological stability, low-power operation, and dynamic…

Quantization of topological charges determines the various topological spin textures that are expected to play a key role in future spintronic devices. While the magnetic skyrmion with a unit topological charge Q has been extensively…

Materials Science · Physics 2021-08-29 Jin Tang , Yaodong Wu , Weiwei Wang , Lingyao Kong , Boyao Lv , Wensen Wei , Jiadong Zang , Mingliang Tian , Haifeng Du

Skyrmion qubits are a new highly promising logic element for quantum information processing. However, their scalability to multiple interacting qubits remains challenging. We propose a hybrid quantum setup with skyrmion qubits strongly…

The skyrmion is a topologically stable spin texture, in which the spin direction wraps a sphere. The topological nature gives rise to emergent electromagnetic phenomena such as topological Hall effect. Recently, the crystallization of…

Materials Science · Physics 2015-06-04 Y. Onose , Y. Okamura , S. Seki , S. Ishiwata , Y. Tokura

Quantum computation departs from the classical paradigm of deterministic, bit-based processing by exploiting inherently quantum phenomena such as superposition and entanglement. We propose a framework for qubit realization based on…

Quantum Physics · Physics 2025-11-18 Doru Sticlet , Romulus Tetean , Coriolan Tiusan

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

Traditionally, skyrmions are treated as continuum magnetic textures of classical spins with a well-defined topological skyrmion number. Owing to their topological protection, skyrmions have attracted great interest as building blocks in…

Strongly Correlated Electrons · Physics 2022-06-24 Kristian Mæland , Asle Sudbø

Skyrmions and bimerons are versatile topological spin textures that can be used as information bits for both classical and quantum computing. The transformation between isolated skyrmions and bimerons is an essential operation for computing…

Magnetic skyrmions are stable topological solitons with complex non-coplanar spin structures. Their nanoscopic size and the low electric currents required to initiate and control their motion has opened a new field of research, skyrmionics,…

Skyrmions are particle-like topological textures that hold great promise for low-power electronics and wave-based functionalities. Yet their utility is hindered by the lack of robust and controllable transport. Here, we show that band…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Lei Liu , Xiujuan Zhang , Ming-Hui Lu , Yan-Feng Chen

Magnetic skyrmion is a topologically stable particle-like swirling spin texture potentially suitable for high-density information bit, which was first observed in noncentrosymmetric magnets with Dzyaloshinskii-Moriya interaction. Recently,…

Materials Science · Physics 2022-02-01 N. D. Khanh , T. Nakajima , S. Hayami , S. Gao , Y. Yamasaki , H. Sagayama , H. Nakao , R. Takagi , Y. Motome , Y. Tokura , T. Arima , S. Seki

Skyrmions are topological structures defined by a winding vector configuration that yields a quantized topological charge. In magnetic materials, skyrmions manifest as stable, mobile spin textures, positioning them at the forefront of…

Magnetic skyrmions are mesmerizing spin textures with peculiar topological and dynamical properties, typically the product of competing interactions in ferromagnets, and with great technological potential [1-5]. Researchers have long…

We have investigated the formation of spin textures at the edges of quantum Hall systems for several ferromagnetic filling factors. The textures are driven by the same physics that leads to ``skyrmions'' in the bulk. For hard confinement…

Condensed Matter · Physics 2009-10-28 A. Karlhede , S. A. Kivelson , K. Lejnell , S. L. Sondhi

Solitonic magnetic excitations such as domain walls and, specifically, skyrmionics enable the possibility of compact, high density, ultrafast,all-electronic, low-energy devices, which is the basis for the emerging area of skyrmionics. The…

The Skyrme-particle, the $skyrmion$, was introduced over half a century ago and used to construct field theories for dense nuclear matter. But with skyrmions being mathematical objects - special types of topological solitons - they can…

Strongly Correlated Electrons · Physics 2014-11-06 O. Janson , I. Rousochatzakis , A. A. Tsirlin , M. Belesi , A. A. Leonov , U. K. Roessler , J. van den Brink , H. Rosner

Magnetic vortices and skyrmions represent two fundamental classes of topological spin textures in ferromagnetic systems, distinguished by their unique stabilization mechanisms and degrees of freedom. Vortices, characterized by circular…

Computational Physics · Physics 2025-03-21 Haobing Zhang , Xintao Fan , Weiwei Wang