Proposal for a micromagnetic standard problem for materials with Dzyaloshinskii–Moriya interaction

Cortés‐Ortuño, David; Beg, Marijan; Nehruji, Vanessa; Breth, Leoni; Pepper, Ryan A.; Kluyver, Thomas; Downing, Gary; Hesjedal, T.; Hatton, P. D.; Lancaster, Tom; Hertel, Riccardo; Hovorka, Ondřej; Fangohr, Hans

doi:10.1088/1367-2630/aaea1c

Cited by 48 publications

(24 citation statements)

References 63 publications

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“…Recently, so-called micromagnetic standard problems for ferromagnetic materials with DMI interactions has been proposed by Cortés-Ortuño et al in Ref. 65 . Closely following the implementation of DMI interaction for crytals within the D 2d symmetry class in 66 , we have implemented the uniaxial DMI.…”

Section: Stability Of the Static Soliton And Steady Motion Solutionmentioning

confidence: 99%

“…1 in the main text, is equivalent to (y, z, x) in the MuMax3 implementation. In the present notation, the D 2d DMI energy density term implemented in 65 has the form For uniaxial helimagnets the DMI energy density can be expressed as Here the DMI vector points in the +z direction, favoring helical magnetization textures rotating counter-clockwise in the x − y plane. Accordingly, effective fields for the D 2d DMI and uniaxial DMI in a two-dimensional system are and respectively.…”

Section: Stability Of the Static Soliton And Steady Motion Solutionmentioning

confidence: 99%

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Dynamics of chiral solitons driven by polarized currents in monoaxial helimagnets

Laliena

Bustingorry

Campo

2020

Sci Rep

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Chiral solitons are one dimensional localized magnetic structures that are metastable in some ferromagnetic systems with Dzyaloshinskii–Moriya interactions and/or uniaxial magnetic anisotropy. Though topological textures in general provide a very interesting playground for new spintronics phenomena, how to properly create and control single chiral solitons is still unclear. We show here that chiral solitons in monoaxial helimagnets, characterized by a uniaxial Dzyaloshinskii–Moriya interaction, can be stabilized with external magnetic fields. Once created, the soliton moves steadily in response to a polarized electric current, provided the induced spin-transfer torque has a dissipative (nonadiabatic) component. The structure of the soliton depends on the applied current density in such a way that steady motion exists only if the applied current density is lower than a critical value, beyond which the soliton is no longer stable.

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Section: Stability Of the Static Soliton And Steady Motion Solutionmentioning

confidence: 99%

Section: Stability Of the Static Soliton And Steady Motion Solutionmentioning

confidence: 99%

Dynamics of chiral solitons driven by polarized currents in monoaxial helimagnets

Laliena

Bustingorry

Campo

2020

Sci Rep

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“…Due to its well-known helimagnetic properties, this B20-type, non-centrosymmetric material serves as a prototype for materials hosting chiral magnetic structures that develop due to the "bulk" DMI effect, as opposed to certain systems of ultra-thin magnetic films and substrates that can generate an "interfacial" DMI [1]. The micromagnetic parameters of FeGe are [18,42] A = 8.78 × 10 −12 J m −1 , M s = 384 kA m −1 , and D = 1.58 × 10 −3 J m −2 , where A is the ferromagnetic exchange constant, M s the saturation magnetization, and D the DMI constant. We neglect any magnetocrystalline anisotropy of the material, setting the uniaxial anisotropy to zero, K u = 0 J m −3 .…”

Section: Methodsmentioning

confidence: 99%

Geometrically Constrained Skyrmions

Pathak

Hertel

2021

Magnetochemistry

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Skyrmions are chiral swirling magnetization structures with nanoscale size. These structures have attracted considerable attention due to their topological stability and promising applicability in nanodevices, since they can be displaced with spin-polarized currents. However, for the comprehensive implementation of skyrmions in devices, it is imperative to also attain control over their geometrical position. Here we show that, through thickness modulations introduced in the host material, it is possible to constrain three-dimensional skyrmions to desired regions. We investigate skyrmion structures in rectangular FeGe platelets with micromagnetic finite element simulations. First, we establish a phase diagram of the minimum-energy magnetic state as a function of the external magnetic field strength and the film thickness. Using this understanding, we generate preferential sites for skyrmions in the material by introducing dot-like “pockets” of reduced film thickness. We show that these pockets can serve as pinning centers for the skyrmions, thus making it possible to obtain a geometric control of the skyrmion position. This control allows for stabilization of skyrmions at positions and in configurations that they would otherwise not attain. Our findings may have implications for technological applications in which skyrmions are used as units of information that are displaced along racetrack-type shift register devices.

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“…The progress in simulation tools for antiferromagnets should be also accompanied by the formulation of standard problems for their verification, similarly to the standard μMAG problems [572] and their extension for chiral ferromagnets. [573] Practically, at the moment there are only spin-lattice simulations, which are extensively used to describe differently shaped Adv. Mater.…”

Section: Numericsmentioning

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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Proposal for a micromagnetic standard problem for materials with Dzyaloshinskii–Moriya interaction

Cited by 48 publications

References 63 publications

Dynamics of chiral solitons driven by polarized currents in monoaxial helimagnets

Dynamics of chiral solitons driven by polarized currents in monoaxial helimagnets

Geometrically Constrained Skyrmions

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

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