Shifts in the skyrmion stabilization due to curvature effects in dome- and antidome-shaped surfaces

Carvalho-Santos, Vagson L.; Corona, Rosa M.; Altbir, D.; Castillo-Sepúlveda, S.

doi:10.1103/physrevb.102.024444

Cited by 29 publications

(18 citation statements)

References 49 publications

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“…The transient state also existed between the vortex and skyrmion states. It has been reported that in curved geometries, the effective anisotropy constant K eff can be modified by a curvature-induced anisotropy as 33 . Thus, in our system, the boundary between the transition and vortex states can be estimated, according to , to be the white dotted line shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

“…As 2 R becomes smaller, the curvature-induced DM-like interaction becomes more dominant in the formation of skyrmions, even at higher K u values. In the hemispherical shell structure, the curvature-induced DM-like interaction plays a crucial role in the formation of skyrmions, just as intrinsic DMI does in planar-geometry structures 33 . Therefore, non-zero intrinsic DMI in such a curved system would further increase the stability of skyrmion formation.…”

Section: Resultsmentioning

confidence: 99%

“…Since the strength of DMI is limited to less than ~ 2 mJ/m 2 in two-dimensional (2D) planar thin films with perpendicular magnetic anisotropy (PMA) 23 , 24 , exploration of alternative systems wherein skyrmions are further stabilized is challenging. To that end, recent theoretical and experimental studies have revealed that three-dimensional (3D) curved geometries and torsional magnets can allow for robust effective magnetic interactions of curvature-induced effective magnetic anisotropy and DM-like interaction 25 – 33 . For example, Carvalho-Santos et al 33 reported that the curved geometry can enforce the effective DMI, while it makes a certain reduction in the effective magnetic anisotropy, thereby leading to a further stability of skyrmion formation.…”

Section: Introductionmentioning

confidence: 99%

“…To that end, recent theoretical and experimental studies have revealed that three-dimensional (3D) curved geometries and torsional magnets can allow for robust effective magnetic interactions of curvature-induced effective magnetic anisotropy and DM-like interaction 25 – 33 . For example, Carvalho-Santos et al 33 reported that the curved geometry can enforce the effective DMI, while it makes a certain reduction in the effective magnetic anisotropy, thereby leading to a further stability of skyrmion formation. Thus, the combination of these two energy terms will make possible significant modifications of the stability and dynamical properties of skyrmions in geometrically curved dots, even without intrinsic DMI.…”

Section: Introductionmentioning

confidence: 99%

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Intrinsic DMI-free skyrmion formation and robust dynamic behaviors in magnetic hemispherical shells

Yang¹,

Abert²,

Suess³

et al. 2021

Sci Rep

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We performed finite-element micromagnetic simulations to examine the formation of skyrmions without intrinsic Dzyaloshinskii–Moriya interaction (DMI) in magnetic hemispherical shells. We found that curvature-induced DM-like interaction allows for further stabilization of skyrmions without the DMI in curved-geometry hemispherical shells for a specific range of uniaxial perpendicular magnetic anisotropy (PMA) constant Ku. The larger the curvature of the shell, the higher the Ku value required for the formation of the skyrmions. With well-stabilized skyrmions, we also found in-plane gyration modes and azimuthal spin-wave modes as well as an out-of-plane breathing mode, similarly to previously found modes for planar geometries. Furthermore, additional higher-frequency hybrid modes were observed due to coupling between the gyration and azimuthal modes. This work provides further physical insight into the static and dynamic properties of intrinsic DMI-free skyrmions formed in curved-geometry systems.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Intrinsic DMI-free skyrmion formation and robust dynamic behaviors in magnetic hemispherical shells

Yang¹,

Abert²,

Suess³

et al. 2021

Sci Rep

View full text Add to dashboard Cite

show abstract

“…An important question is, how the curvature modifies the critical DMI d 0 [5,7], which separates homogeneous and periodic magnetization structures. This is important for assessing the stability of skyrmions [31] and their motion [32] along the tubes and other curvilinear surfaces [33,34]. Here, we present a detailed study of equilibrium states of the ferromagnetic nanotubes with intrinsic DMI of different symmetries.…”

Section: Introductionmentioning

confidence: 99%

Curvature effects on phase transitions in chiral magnets

et al. 2020

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Periodical equilibrium states of magnetization exist in chiral ferromagnetic films, if the constant of antisymmetric exchange (Dzyaloshinskii–Moriya interaction) exceeds some critical value. Here, we demonstrate that this critical value can be significantly modified in curved film. The competition between symmetric and antisymmetric exchange interactions in a curved film can lead to a new type of domain wall which is inclined with respect to the cylinder axis. The wall structure is intermediate between Bloch and Néel ones. The exact analytical solutions for phase boundary curves and the new domain wall are obtained.

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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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Shifts in the skyrmion stabilization due to curvature effects in dome- and antidome-shaped surfaces

Cited by 29 publications

References 49 publications

Intrinsic DMI-free skyrmion formation and robust dynamic behaviors in magnetic hemispherical shells

Intrinsic DMI-free skyrmion formation and robust dynamic behaviors in magnetic hemispherical shells

Curvature effects on phase transitions in chiral magnets

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

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