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Curvature effects are important for a proper description of the properties of magnetic systems. In this paper the exchange and dipolar energy of vortices on a paraboloidal shell is studied. Using analytical calculations it is shown that the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 V. L. Carvalho-Santos , R. G. Elias , J. M. Fonseca , D. Altbir

Topologically stable structures include vortices in a wide variety of matter, such as skyrmions in ferro- and antiferromagnets, and hedgehog point defects in liquid crystals and ferromagnets. These are characterized by integer-valued…

We investigate the interaction of magnetic vortices and skyrmions with a spin-polarized current. In a square lattice, fixed classical spins and quantum itinerant electrons, evolve according to the coupled Landau-Lifshitz and Schr\"odinger…

Mesoscale and Nanoscale Physics · Physics 2014-04-22 Ricardo Gabriel Elias , Alberto D. Verga

We deal with magnetic structures that attain integer and half-integer skyrmion numbers. We model and solve the problem analytically, and show how the solutions appear in materials that engender distinct, very specific physical properties,…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 D. Bazeia , J. G. G. S. Ramos , E. I. B. Rodrigues

We study a robust topological transport carried by vortices in a thin film of an easy-plane ferromagnetic insulator between two metal contacts. A vortex, which is a nonlocal topological spin texture in two-dimensional magnets, exhibits some…

Mesoscale and Nanoscale Physics · Physics 2019-05-10 Ji Zou , Se Kwon Kim , Yaroslav Tserkovnyak

We study the Heisenberg Model on cylindrically symmetric curved surfaces. Two kinds of excitations are considered. The first is given by the isotropic regime, yielding the sine-Gordon equation and $\pi$-solitons are predicted. The second…

Mesoscale and Nanoscale Physics · Physics 2013-03-27 Vagson L. Carvalho-Santos , Felipe A. Apolonio , Nemésio M. Oliveira-Neto

In this work we propose a new route to describe topological excitations in magnetic systems through a single real scalar field. We show here that spherically symmetric structures in two spatial dimensions, which map helical excitations in…

Mesoscale and Nanoscale Physics · Physics 2016-05-06 D. Bazeia , M. M. Doria , E. I. B. Rodrigues

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

Topological excitations keep fascinating physicists since many decades. While individual vortices and solitons emerge and have been observed in many areas of physics, their most intriguing higher dimensional topological relatives, skyrmions…

Quantum Gases · Physics 2015-01-29 Márton Kanász-Nagy , Balázs Dóra , Eugene A. Demler , Gergely Zaránd

The skyrmion number density, $q\equiv\vec{n}\cdot\left(\partial_x\vec{n}\times\partial_y\vec{n}\right)/(4\pi)$, is one of the key quantities that characterizes the topological properties of a magnetic skyrmion. In this work, we propose a…

Mesoscale and Nanoscale Physics · Physics 2026-02-16 Emir Syahreza Fadhilla , M Shoufie Ukhtary , Ardian Nata Atmaja , Bobby Eka Gunara

Proximitizing magnetic textures and $s$-wave superconductors is becoming a platform for engineering topological superconductivity and Majorana fermions by the means of exchange processes. However, the consequences of orbital effects have…

Superconductivity · Physics 2019-10-02 Maxime Garnier , Andrej Mesaros , Pascal Simon

The Shastry-Sutherland model and its generalizations have been shown to capture emergent complex magnetic properties from geometric frustration in several quasi-two-dimensional quantum magnets. Using an $sd$ exchange model, we show here…

Strongly Correlated Electrons · Physics 2021-12-30 N. Swain , M. Shahzad , G. V. Paradezhenko , A. A. Pervishko , D. Yudin , P. Sengupta

Equilibrium properties and localised magnon excitations are investigated in topologically distinct skyrmionic textures. The observed shape of the structures and their orientation on the lattice is explained based on their vorticities and…

Materials Science · Physics 2020-11-17 Levente Rózsa , Markus Weißenhofer , Ulrich Nowak

Magnetic skyrmions (or vortices) are spatially inhomogeneous spin textures localized in nanoscale cylindrical regions. Topological protection and small size make skyrmions especially attractive for the study of spin topology and…

Mesoscale and Nanoscale Physics · Physics 2020-08-04 Alexei N. Bogdanov , Christos Panagopoulos

Magnetic skyrmions are nanoscale spin textures that their thermal stability originates from the nontrivial topology in nature. Recently, a plethora of topological spin textures have been theoretically predicted or experimentally observed,…

Mesoscale and Nanoscale Physics · Physics 2024-04-08 Yu Li , Yuzhe Zang , Runze Chen , Christoforos Moutafis

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

We show that stable localized topological soliton textures (skyrmions) with $\pi_2$ topological charge $\nu \geq 1$ exist in a classical 2D Heisenberg model of a ferromagnet with uniaxial anisotropy. For this model the soliton exist only if…

Statistical Mechanics · Physics 2015-05-13 E. G. Galkina , E. V. Kirichenko , B. A. Ivanov , V. A. Stephanovich

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 explore the interplay between topology and eigenmodes by changing the stabilizing mechanism of skyrmion lattices (skX). We focus on two prototypical ultrathin films hosting an hexagonal (Pd/Fe/Ir(111)) and a square (Fe/Ir(111)) skyrmion…

Mesoscale and Nanoscale Physics · Physics 2023-05-11 Louise Desplat , Bertrand Dupé

Polarization of light can form skyrmionic textures, akin to nonlinear solitons in condensed matter, yet their disparate physical context has motivated extensive debate regarding their stability. Here we show that the topological charge of…

Optics · Physics 2026-04-16 Nilo Mata-Cervera , Zhenyu Guo , Yijie Shen
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