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We introduce topological phases of matter defined by skyrmions in the ground state spin -- or pseudospin -- expectation value textures in the Brillouin zone, the chiral and helical topological skyrmion phases of matter. These phases are…

Superconductivity · Physics 2023-03-10 Ashley M. Cook

The skyrmion, which is characterised by a topological integer, is a structure that is topologically stable against local disturbances. The huge potential of skyrmions for use in magnetic storage systems has drawn considerable research…

Quantum Physics · Physics 2021-03-26 Jie Zhu , Sheng Liu , Yong-Sheng Zhang

Topological defects play a key role in a variety of physical systems, ranging from high-energy to solid state physics. They yield fascinating emergent phenomena and serve as a bridge between the microspic and macroscopic world. A skyrmion…

Optics · Physics 2018-09-26 S. Tsesses , E. Ostrovsky , K. Cohen , B. Gjonaj , N. Lindner , G. Bartal

Topological textures like vortices, labyrinths and skyrmions formed in ferroic materials have attracted extensive interests during the past decade for their fundamental physics, intriguing topology, and technological prospects. So far,…

Particle-like topological structures such as skyrmions and vortices have garnered ever-increasing interests due to the rich physical insights and potential broad applications. Here we discover the reversible switching between polar skyrmion…

Mesoscale and Nanoscale Physics · Physics 2018-05-01 Zijian Hong , Long-Qing Chen

We construct a molecule of fractional vortices with fractional topological lump charges as a baby Skyrmion with the unit topological lump charge in the anti-ferromagnetic (or XY) baby Skyrme model, that is, an O(3) sigma model with a four…

High Energy Physics - Theory · Physics 2013-07-08 Michikazu Kobayashi , Muneto Nitta

Skyrmions represent topologically stable field configurations with particle-like properties. We used neutron scattering to observe the spontaneous formation of a two-dimensional lattice of skyrmion lines, a type of magnetic vortices, in the…

Strongly Correlated Electrons · Physics 2015-05-13 S. Mühlbauer , B. Binz , F. Jonietz , C. Pfleiderer , A. Rosch , A. Neubauer , R. Georgii , P. Böni

It is generally believed that there is a correspondence between the topological charge of nodal points or lines and the presence of Fermi arcs. Using a $\mathcal{P}\mathcal{T}$-invariant system as an example, we demonstrate that this…

Mesoscale and Nanoscale Physics · Physics 2025-04-25 Xue-Min Yang , Jiang-Shan Chen , Ying Chen , Yu-Hang Qin , Hong Wu

We study two-dimensional spinful insulating phases of matter that are protected by time-reversal and crystalline symmetries. To characterize these phases we employ the concept of corner charge fractionalization: Corners can carry charges…

Magnetic solitons have recently attracted significant attention due to their intricate physical properties and potential applications in information processing. The majority of the studies in this field, however, are focused on a particular…

The structural features of the charge ordering states in LuFe2O4 are characterized by in-situ cooling TEM observations from 300K down to 20K. Two distinctive structural modulations, a major q1= (1/3, 1/3, 2) and a weak q2=q1/10 + (0, 0,…

Materials Science · Physics 2009-11-13 Y. Zhang , H. X. Yang , C. Ma , H. F. Tian , J. Q. Li *

Topological defects, such as domain walls and vortices, have long fascinated physicists. A novel twist is added in quantum systems like the B-phase of superfluid helium He$_3$, where vortices are associated with low energy excitations in…

Mesoscale and Nanoscale Physics · Physics 2009-04-02 Ying Ran , Yi Zhang , Ashvin Vishwanath

Fractional topological insulators are electronic systems that carry fractionally charged excitations, conserve charge and are symmetric to reversal of time. In this review we introduce the basic essential concepts of the field, and then…

Strongly Correlated Electrons · Physics 2016-04-20 Ady Stern

Fractionalization is a ubiquitous phenomenon in topological states of matter. In this work, we study the collective behavior of fractionalized topological charges and their instabilities, through the $J_1$-$J_2$-$J_3$ Ising model on a…

Strongly Correlated Electrons · Physics 2017-08-23 Tomonari Mizoguchi , Ludovic D. C. Jaubert , Masafumi Udagawa

Skyrmions as well as skyrmion bags in magnetic thin films are promising candidates for future high-density memory devices. The observation of skyrmion bags in liquid crystals and their predicted existence in ferromagnetic films has sparked…

Materials Science · Physics 2024-11-28 Naim Ahmad , Chirag Kalouni , Abhay Singh Rajawat , Waseem Akhtar

Magnetic skyrmions are topological magnetic spin structures exhibiting particle-like behaviour. They are of strong interest from a fundamental viewpoint and for application, where they have potential to act as information carriers in future…

Magnetic skyrmions are topologically nontrivial spin configurations that possess particle-like properties. Earlier research was mainly focused on a specific type of skyrmion with topological charge Q = -1. However, theoretical analyses of…

We perform a systematic study of the signatures of fragile topology in over 50 nonmagnetic two-dimensional materials with formula AB$_2$, belonging to space group $P$-$3m1$. Using group theory analysis in the framework of topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Olga Arroyo-Gascón , Sergio Bravo , Leonor Chico , Mónica Pacheco

We consider a magnetic skyrmion crystal formed at the surface of a topological insulator. Incorporating the exchange interaction between the helical Dirac surface states and the periodic N\'eel or Bloch skyrmion texture, we obtain the…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 Stefan Divic , Henry Ling , T. Pereg-Barnea , Arun Paramekanti

Despite fermion doubling, a two-dimensional quasi-relativistic spin-1/2 system can still lead to true fractionalization of electrical charge, when a massive ordered phase supports a "half-vortex". Such topological defect is possible when…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Bitan Roy , Igor F. Herbut