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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

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

We study theoretically, via Monte Carlo simulations on lattices containing up to 1000 x 1000 spins, thermal creation of skyrmion lattices in a 2D ferromagnetic film with perpendicular magnetic anisotropy and Dzyaloshinskii-Moriya…

Materials Science · Physics 2025-02-17 Dmitry A. Garanin , Eugene M. Chudnovsky , Senfu Zhang , Xixiang Zhang

We use the continuum micromagnetic framework to derive the formulas for compact skyrmion lifetime due to thermal noise in ultrathin ferromagnetic films with relatively weak interfacial Dzyaloshinskii-Moriya interaction. In the absence of a…

Materials Science · Physics 2022-08-02 Anne Bernand-Mantel , Cyrill B. Muratov , Valeriy V. Slastikov

We construct the solutions of slowly rotating gravastars with a thin shell. In the zero-rotation limit, we consider the gravastar composed of a de Sitter core, a thin shell, and Schwarzschild exterior spacetime. The rotational effects are…

General Relativity and Quantum Cosmology · Physics 2016-01-13 Nami Uchikata , Shijun Yoshida

We discuss the limiting behavior (using the notion of \Gamma-limit) of the 3d nonlinear elasticity for thin shells around an arbitrary smooth 2d surface. In particular, under the assumption that the elastic energy of deformations scales…

Functional Analysis · Mathematics 2008-03-05 Marta Lewicka , Maria Giovanna Mora , Mohammad Reza Pakzad

We obtain exact analytic expressions for (i) the electromagnetic energy radial density within and outside a multilayered sphere and (ii) the total electromagnetic energy stored within its core and each of its shells. Explicit expressions…

Optics · Physics 2019-09-20 Ilia L. Rasskazov , Alexander Moroz , P. Scott Carney

We prove that a certain discrete energy for triangulated surfaces, defined in the spirit of discrete differential geometry, converges to the Willmore energy in the sense of $\Gamma$-convergence. Variants of this discrete energy have been…

Analysis of PDEs · Mathematics 2021-06-14 Peter Gladbach , Heiner Olbermann

We study the recently introduced 'critically coupled' model of magnetic Skyrmions, generalising it to thin films with curved geometry. The model feels keenly the extrinsic geometry of the film in three-dimensional space. We find exact…

Mesoscale and Nanoscale Physics · Physics 2020-07-20 Edward Walton

A lens, a device transforming propagation directions in an organized fashion, is one of the fundamental tools for wave manipulation. Spin wave, the collective excitation of ordered magnetizations, stands out as a promising candidate for…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Hongbin Wu , Zi-Wu Wang , Jin Lan

Ne\'el skyrmions originate from interfacial Dzyaloshinskii Moriya interaction (DMI). Recent studies have explored using thin-film ferromagnets and ferrimagnets to host Ne\'el skyrmions for spintronic applications. However, it is unclear if…

Mesoscale and Nanoscale Physics · Physics 2019-07-02 Chung Ting Ma , Yunkun Xie , Howard Sheng , Avik W. Ghosh , S. Joseph Poon

The influence of the Dzyaloshinskii-Moriya interaction in ultra-thin ferromagnetic films and chiral magnonic crystals on the behavior of spin waves is reviewed. During the last decade, it has been shown, both theoretically and…

Mesoscale and Nanoscale Physics · Physics 2019-06-06 Rodolfo A. Gallardo , David Cortés-Ortuño , Roberto E. Troncoso , Pedro Landeros

Particles interacting through long-range attraction and short-range repulsion given by power-laws have been widely used to model physical and biological systems, and to predict or explain many of the patterns they display. Apart from rare…

Optimization and Control · Mathematics 2022-05-19 Cameron Davies , Tongseok Lim , Robert J. McCann

Magnetic skyrmions are topological magnetic structures, which exhibit quasi-particle properties and can show enhanced stability against perturbation from thermal noise. Recently, thermal Brownian diffusion of these quasi-particles has been…

In a broad range of applied magnetic fields and material parameters isolated magnetic skyrmions condense into skyrmion lattices. While the geometry of isolated skyrmions and their lattice counterparts strongly depend on field and…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 A. Siemens , Y. Zhang , J. Hagemeister , E. Y. Vedmedenko , R. Wiesendanger

In the present research, we demonstrate the usage of plasmonic effects in thin film structures to control magnetic topological textures, specifically skyrmions and skyrmioniums. We investigate numerically the generation and alteration of…

Applied Physics · Physics 2024-03-13 W. Al Saidi , R. Sbiaa , Y. Dusch , N. Tiercelin

The realization of THz sources is a fundamental aspect for a wide range of applications. Over different approaches, compact THz oscillators can be realized taking advantage of dynamics in antiferromagnetic (AFMs) thin films driven by…

Mesoscale and Nanoscale Physics · Physics 2019-01-16 Vito Puliafito , Roman Khymyn , Mario Carpentieri , Bruno Azzerboni , Vasyl Tiberkevich , Andrei Slavin , Giovanni Finocchio

We study the impact of an exchange-reducing defect on a skyrmion for a thin film of finite thickness. Attraction of the skyrmion to a defect is demonstrated in a lattice model by computing the micromagnetic energy accounting for the…

Mesoscale and Nanoscale Physics · Physics 2021-05-26 Amel Derras-Chouk , Eugene M. Chudnovsky

We report the experimental observation of micron-scale magnetic skyrmions at room temperature in several Pt/Co-based thin film heterostructures designed to possess a low exchange stiffness, perpendicular magnetic anisotropy, and a modest…

Materials Science · Physics 2021-08-26 Jeffrey A. Brock , Eric E. Fullerton

We use the method of $\Gamma$-convergence to study the behavior of the Landau-de Gennes model for a nematic liquid crystalline film attached to a general fixed surface in the limit of vanishing thickness. This paper generalizes the approach…

Analysis of PDEs · Mathematics 2017-05-24 Dmitry Golovaty , Alberto Montero , Peter Sternberg
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