Effects of surface anisotropy on magnetic vortex core

Pylypovskyi, Oleksandr V.; Sheka, Denis D.; Kravchuk, Volodymyr P.; Gaididei, Yuri

doi:10.1016/j.jmmm.2014.02.094

Cited by 11 publications

(13 citation statements)

References 27 publications

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“…According to (4b) the sign of the vortex core width gradient depends on the surface anisotropy type: barrelshaped for the ES surface anisotropy and pillow-shaped for the EN one. 44 Let us sketch the physical picture of the influence of the surface anisotropy on statics and dynamics using the particular case of ES surface anisotropy. The typical vortex core width w on a surface layer without magnetic field is determined by effective magnetic length eff , see (7).…”

Section: Discussionmentioning

confidence: 99%

“…Very recently we have studied how the surface anisotropy effects on the vortex core shape without magnetic field: there appears the pillowand the barrel-deformation of the core for the ES and EN anisotropies, respectively. 44 Qualitatively, the vortex core width inside the sample volume is determined by the magnetic length, while the core width on a surface layer is characterized by effective magnetic length 44…”

Section: B Magnets With the Surface Anisotropymentioning

confidence: 99%

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Vortex polarity switching in magnets with surface anisotropy

Pylypovskyi

Sheka

Kravchuk

et al. 2015

Low Temperature Physics

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Vortex core reversal in magnetic particle is essentially influenced by a surface anisotropy. Under the action of a perpendicular static magnetic field the vortex core undergoes a shape deformationof pillow-or barrel-shaped type, depending on the type of the surface anisotropy. This deformation plays a key point in the switching mechanism: We predict that the vortex polarity switching is accompanied (i) by a linear singularity in case of Heisenberg magnet with bulk anisotropy only and (ii) by a point singularities in case of surface anisotropy or exchange anisotropy. We study in details the switching process using spin-lattice simulations and propose a simple analytical description using a wired core model, which provides an adequate description of the Bloch point statics, its dynamics and the Bloch point mediated switching process. Our analytical predictions are confirmed by spin-lattice simulations for Heisenberg magnet and micromagnetic simulations for nanomagnet with account of a dipolar interaction.

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Section: Discussionmentioning

confidence: 99%

Section: B Magnets With the Surface Anisotropymentioning

confidence: 99%

Vortex polarity switching in magnets with surface anisotropy

Pylypovskyi

Sheka

Kravchuk

et al. 2015

Low Temperature Physics

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“…The dynamics of this system is described by a set of N vector Landau-Lifshitz ordinary differential equations, see ref. 59 for the general description of the SLaSi simulator and ref. 37 for details of the helix simulations.…”

Section: Methodsmentioning

confidence: 99%

Rashba Torque Driven Domain Wall Motion in Magnetic Helices

Pylypovskyi

Sheka

Kravchuk

et al. 2016

Sci Rep

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Manipulation of the domain wall propagation in magnetic wires is a key practical task for a number of devices including racetrack memory and magnetic logic. Recently, curvilinear effects emerged as an efficient mean to impact substantially the statics and dynamics of magnetic textures. Here, we demonstrate that the curvilinear form of the exchange interaction of a magnetic helix results in an effective anisotropy term and Dzyaloshinskii–Moriya interaction with a complete set of Lifshitz invariants for a one-dimensional system. In contrast to their planar counterparts, the geometrically induced modifications of the static magnetic texture of the domain walls in magnetic helices offer unconventional means to control the wall dynamics relying on spin-orbit Rashba torque. The chiral symmetry breaking due to the Dzyaloshinskii–Moriya interaction leads to the opposite directions of the domain wall motion in left- or right-handed helices. Furthermore, for the magnetic helices, the emergent effective anisotropy term and Dzyaloshinskii–Moriya interaction can be attributed to the clear geometrical parameters like curvature and torsion offering intuitive understanding of the complex curvilinear effects in magnetism.

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“…The micromagnetic simulations are unique and powerful tool to study equilibrium magnetization states, their dynamics and responses to external perturbations (e.g., magnetic fields or spin-polarized currents) for arbitrary geometries, and in a wide range of time-and length-scales. The micromagnetic simulation packages are mostly based on the numerical solution of the LLG equation of motion, either using a finite difference method (FDM, e.g., OOMMF [185,186] and MuMax 3[187,188] for the submicrometer scale simulations and SLaSi, [189,190] Vampire [191,192] and Spirit [193,194] for atomistic simulations) or a finite element method (FEM, e.g., COMSOL Multiphysics [195] with the LLG extension, [196] Micromagnum, [197] magnum.fe, [198,199] magpar, [200,201] FastMag, [202,203] Nmag [204][205][206] and TetraMag [207] ). While the FDM approach is faster than the FEM and it could be used for the simulation of flat 2D curvilinear geometries, the FDM approach introduces errors and artifacts that can hinder the curvature-induced effects in the case of 3D curvilinear geometries, due to the step-like boundaries.…”

Section: Computer Simulationsmentioning

confidence: 99%

New Dimension in Magnetism and Superconductivity: 3D and Curvilinear Nanoarchitectures

et al. 2021

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condensed matter physics, including cell membranes, [1] nematic crystals, [2,3] superfluids, [4] semiconductors, [5][6][7][8] ferromagnets, [9] and superconductors. [10,11] Currently, much attention is paid to strongly correlated electronic systems, for example, ferromagnets and superconductors, as they provide a unique tool to manipulate the topology of coexisting vector and scalar fields, associated with geometries of conventional systems.Until recently, in the case of magnetism, the influence of the geometry on the spin vector fields was addressed primarily by the design of the sample boundaries. This approach naturally brings the shape anisotropy to the system and leads to the formation of specific spin textures, for example, magnetic vortices [12] and antivortices [13] as well as provides control over the dynamics of the topologically nontrivial magnetic solitons. [14][15][16][17][18] This discussion also tackles the state of the art in modern experimental antiferromagnetism, where the design of the sample topography and boundaries allows to control the domain wall states. [19][20][21][22] With the development of novel fabrication techniques allowing to realize complex 3D architectures, not only the boundary effects but also the extrinsic geometrical properties (e.g., local curvatures) can be addressed rigorously for the case of ferromagnets [23][24][25][26][27] as well as superconductors. [28][29][30] The explored effects are directly related to the interplay between the Traditionally, the primary field, where curvature has been at the heart of research, is the theory of general relativity. In recent studies, however, the impact of curvilinear geometry enters various disciplines, ranging from solid-state physics over soft-matter physics, chemistry, and biology to mathematics, giving rise to a plethora of emerging domains such as curvilinear nematics, curvilinear studies of cell biology, curvilinear semiconductors, superfluidity, optics, 2D van der Waals materials, plasmonics, magnetism, and superconductivity. Here, the state of the art is summarized and prospects for future research in curvilinear solid-state systems exhibiting such fundamental cooperative phenomena as ferromagnetism, antiferromagnetism, and superconductivity are outlined. Highlighting the recent developments and current challenges in theory, fabrication, and characterization of curvilinear micro-and nanostructures, special attention is paid to perspective research directions entailing new physics and to their strong application potential. Overall, the perspective is aimed at crossing the boundaries between the magnetism and superconductivity communities and drawing attention to the conceptual aspects of how extension of structures into the third dimension and curvilinear geometry can modify existing and aid launching novel functionalities. In addition, the perspective should stimulate the development and dissemination of research and development oriented techniques to facilitate rapid transitions from laboratory demonstrations to industry-...

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Effects of surface anisotropy on magnetic vortex core

Cited by 11 publications

References 27 publications

Vortex polarity switching in magnets with surface anisotropy

Vortex polarity switching in magnets with surface anisotropy

Rashba Torque Driven Domain Wall Motion in Magnetic Helices

New Dimension in Magnetism and Superconductivity: 3D and Curvilinear Nanoarchitectures

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