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In the paper we obtain equations for large-scale fluctuations of the mean field (the field of magnetization and quadrupole moments) in a magnetic system realized by a square (cubic) lattice of atoms with spin s >= 1 at each site. We use the…

Other Condensed Matter · Physics 2014-09-22 Julia Bernatska , Petro Holod

Relativistic, spherically symmetric configurations consisting of a gravitating magnetized anisotropic fluid are studied. For such configurations, we obtain static equilibrium solutions with an axisymmetric, poloidal magnetic field produced…

General Relativity and Quantum Cosmology · Physics 2015-03-03 Vladimir Folomeev , Vladimir Dzhunushaliev

The Landau--Lifshitz equation describes the behaviour of magnetic domains in ferromagnetic structures. Recently such structures have been found to be favourable for storing digital data. Stability of magnetic domains is important for this.…

Analysis of PDEs · Mathematics 2017-08-28 Amenda Chow

We introduce a new class of isolated magnetic skyrmions emerging within tilted ferromagnetic phases of polar magnets with easy-plane anisotropy. The asymmetric magnetic structure of these skyrmions is associated with an intricate pattern of…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 A. O. Leonov , I. Kézsmárki

The magnetic skyrmion structure can be formed in the chiral magnets (CMs) with strong Dzyaloshinskii-Moriya interactions. In this work, we propose a way of artificially tailoring the topological details of the skyrmion such as its radial…

Mesoscale and Nanoscale Physics · Physics 2016-10-06 Yin-Yan Zhang , Rui Zhu

Based on the dissipative Landau-Lifshitz equation, the spatiotemporal structure formation problem is investigated in the region far above the transverse ferromagnetic resonance instability. Apart from the external fields, the model contains…

chao-dyn · Physics 2009-10-28 Timm Plefka

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

Magnetic skyrmions, topological spin textures observed in chiral magnets, have attracted huge interest due to their applications in the field of spintronics. In this work we study the stability of circular isolated skyrmions in…

Strongly Correlated Electrons · Physics 2019-03-06 S. A. Osorio , M. B. Sturla , H. D. Rosales , D. C. Cabra

We investigate the dynamics of spin in the axially anisotropic Landau--Lifshitz field theory with a magnetic domain wall initial condition. Employing the analytic scattering technique, we obtain the exact scattering data and reconstruct the…

Statistical Mechanics · Physics 2019-04-10 Oleksandr Gamayun , Yuan Miao , Enej Ilievski

We show that recently reported precessing solution of Landau-Lifshitz-Gilbert equations in ferromagnetic nanowires is stable under small perturbations of initial data, applied field and anisotropy constant. Linear stability is established…

Materials Science · Physics 2011-10-07 Yan Gou , Arseni Goussev , JM Robbins , Valeriy Slastikov

Nanoscale magnetic skyrmions have interesting static and transport properties that make them candidates for future spintronic devices. Control and manipulation of the size and behavior of skyrmions is thus of crucial importance. Using a…

Mesoscale and Nanoscale Physics · Physics 2017-12-13 Steven S. -L. Zhang , C. Phatak , A. K. Petford-Long , O. G. Heinonen

We solve analytically the Langevin dynamics of the classic spherical model considering the ferromagnetic exchange and a long-range antiferromagnetic interaction. Our results in the asymptotic regime, shows an equivalence in the…

Materials Science · Physics 2015-03-12 Alejandro Mendoza-Coto , Rogelio Díaz-Méndez

The existence of stationary solutions to the Einstein-Vlasov system which are axially symmetric and have non-zero total angular momentum is shown. This provides mathematical models for rotating, general relativistic and asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Håkan Andréasson , Markus Kunze , Gerhard Rein

We theoretically show that, despite Earnshaw's theorem, a non-rotating single magnetic domain nanoparticle can be stably levitated in an external static magnetic field. The stabilization relies on the quantum spin origin of magnetization,…

We study the stability and energetics associated to skyrmions appear- ing as excitations on curved surfaces. Using a continuum model we show that the presence of cylindrically radial and azimuthal fields destabilizes the skyrmions that…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 V. L. Carvalho-Santos , R. G. Elias , D. Altbir , J. M. Fonseca

Magnetic skyrmions are intriguing topological spin textures that have attracted great attention due to their potential for future spintronic devices. Skyrmions have so far been explored in different magnetic materials, such as ferromagnets,…

Non-damped oscillations of the magnetization vector of a ferromagnetic system subject to a spin polarized current and an external magnetic field are studied theoretically by solving the Landau-Lifshitz-Gilbert equation. It is shown that the…

Materials Science · Physics 2007-05-23 P. M. Gorley , P. P. Horley , V. K. Dugaev , J. Barnas , V. R. Vieira

We consider an infinite ferromagnetic nanowire, with an energy functional $E$ with easy-axis in the direction $e_1$ and a constant external magnetic field $H_{ext} = h_0 e_1$ along the same direction. The evolution of its magnetization is…

Analysis of PDEs · Mathematics 2025-06-27 Guillaume Ferriere

We review a number of results recently obtained in the area of constructing rotating solitons in a four dimensional asymptotically flat spacetime. Various models are examined, special attention being paid to the monopole-antimonopole and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eugen Radu

The ground states of square lattice two-dimensional antiferromagnets with anisotropy in an external magnetic field are determined using Monte Carlo simulations and compared to theoretical analysis. We find a new phase in between the…

Mesoscale and Nanoscale Physics · Physics 2016-08-10 Rick Keesman , Mark Raaijmakers , A. E. Baerends , G. T. Barkema , R. A. Duine