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We propose a new classification of magnetic textures from the viewpoint of differential geometry. Magnetic textures are conventionally classified into collinear, coplanar, and noncoplanar magnets. These classes are typically characterized…

Materials Science · Physics 2026-03-09 Koki Shinada , Naoto Nagaosa

Magnetic skyrmions stabilized by interfacial Dzyaloshinskii-Moriya interactions (DMI) are promising candidates for applications in memory, logic, and neuromorphic computing. Beyond planar films, theoretical studies predict that curvature…

Stacking two-dimensional (2D) layered materials offers a powerful platform to engineer electronic and magnetic states. In general, the resulting states, such as Moir\'e magnetism, have a periodicity at the length scale of the Moir\'e unit…

Toroidal modes enable high-Q resonances, but electric toroidal excitations remain unexplored compared to magnetic ones. This work establishes electric-magnetic toroidal duality in a hexagonal metasurface. Using finite element simulations,…

Optics · Physics 2026-05-26 Oleksiy Breslavets , Yuri Savin , Zoya Eremenko

Whirling topological textures play a key role in exotic phases of magnetic materials and offer promise for logic and memory applications. In antiferromagnets, these textures exhibit enhanced stability and faster dynamics with respect to…

Several puzzling aspects of interplay of the experimental lattice distortion and the the magnetic properties of four narrow $t_{2g}$-band perovskite oxides (YTiO$_3$, LaTiO$_3$, YVO$_3$, and LaVO$_3$) are clarified using results of…

Strongly Correlated Electrons · Physics 2007-05-23 I. V. Solovyev

Topological spin textures exhibit a hierarchical nature. For instance, magnetic skyrmions, which possess a particle-like nature, can aggregate to form superstructures such as skyrmion strings and skyrmion lattices. Magnetic hopfions are…

Strongly Correlated Electrons · Physics 2024-11-04 Shoya Kasai , Kotaro Shimizu , Shun Okumura , Yasuyuki Kato , Yukitoshi Motome

Current-driven dynamics of spin textures plays a pivotal role in potential applications for electronic devices. While two-dimensional magnetic skyrmions with topologically nontrivial spin textures have garnered significant interest, their…

Strongly Correlated Electrons · Physics 2025-04-25 Kotaro Shimizu , Shun Okumura , Yasuyuki Kato , Yukitoshi Motome

Magnetic skyrmion, a swirling spin texture, in chiral magnets is characterized by (i) nano-scale size ($\sim$1nm -- 100nm), (ii) topological stability, and (iii) gyro-dynamics. These features are shown to be advantageous for (a)…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 W. Koshibae , Y. Kaneko , J. Iwasaki , M. Kawasaki , Y. Tokura , N. Nagaosa

We theoretically introduce a quasi-1D magnetic heterostructure of alternating 2D topological and normal insulator strips. Its low-energy physics is governed by a hybrid Hamiltonian intertwining the Su-Schrieffer-Heeger and Shockley models,…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Z. Z. Alisultanov

The interplay of magnetic interactions in chiral multilayer films gives rise to nanoscale topological spin textures, which form attractive elements for next-generation computing. Quantifying these interactions requires several specialized,…

Biology is full of intricate molecular structures whose geometries are inextricably linked to their function. Many of these structures exhibit varying curvature, such as the helical structure of the bacterial flagellum, which is critical…

The Hamiltonian of a two dimensional (2D) magnetic material in the strong correlation regime with a spin texture, for which both azimuthal and polar angle changes, is solved using $su(2)$ path integral method. The dependence of the Chern…

Mesoscale and Nanoscale Physics · Physics 2024-07-12 Kaushal Kumar Kesharpu

We present a new method for assessing the intrinsic 3D shape of prestellar cores from molecular column densities. We have employed hydrodynamic simulations of contracting, isothermal cores considering three intrinsic geometries: spherical,…

Astrophysics of Galaxies · Physics 2016-02-17 A. Tritsis , K. Tassis , K. Willacy

Skyrmions are promising for the next generation of spintronic and magnonic devices, but their zero-field stability and controlled nucleation through chiral interactions remain challenging. In this theoretical study, we explore the potential…

Materials Science · Physics 2023-12-13 Bilal Jabakhanji , Doried Ghader

Here we consider an interplay between the topology of the magnetization texture (which is a topological soliton, or Skyrmion) in a planar magnetic nano-element and the topology of the element itself (its connectivity). We establish the…

Mesoscale and Nanoscale Physics · Physics 2017-01-11 Andrei B. Bogatyrëv , Konstantin L. Metlov

The quest for electric-field control of nanoscale magnetic states such as skyrmions, which would impact the field of spintronics, has led to a challenging search for multiferroic materials or structures with strong magnetoelectric coupling…

Materials Science · Physics 2023-10-24 Xin Jin , Andrew O'Hara , Yu-Yang Zhang , Shixuan Du , Sokrates T. Pantelides

Antiferromagnetic (AF) nanostructures from Co3O4, CoO and Cr2O3 were prepared by the nanocasting method and were characterized magnetometrically. The field and temperature dependent magnetization data suggests that the nanostructures…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 M. J. Benitez , O. Petracic , H. Tüysüz , F. Schüth , H. Zabel

Coupling of the spin and orbital degrees of freedom on the surface of a strong three-dimensional insulator, on the one hand, and textured magnetic configuration in an adjacent ferromagnetic film, on the other, is studied using a combination…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Yaroslav Tserkovnyak , D. A. Pesin , Daniel Loss

Recent advances in ferroelectrics highlight the role of three-dimensional (3D) polar entities in forming topological polar textures and generating giant electromechanical responses, during polarization rotation. However, current electron…

Materials Science · Physics 2025-06-10 Jinho Byun , Keeyong Lee , Myoungho Jeong , Eunha Lee , Jeongil Bang , Haeryong Kim , Geun Ho Gu , Sang Ho Oh
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