Heisenberg spins on a bilayer connected by a neck and other geometries with a characteristic length scale

Dandoloff, Rossen; Saxena, Avadh

doi:10.1088/1751-8113/44/4/045203

Cited by 11 publications

(14 citation statements)

References 29 publications

(46 reference statements)

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“…A precise theoretical description of peculiarities of vortices on spherical surfaces is not available in literature. Most theoretical studies are limited to skyrmion-like solutions 22 .…”

mentioning

confidence: 99%

Out-of-surface vortices in spherical shells

et al. 2012

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The interplay of topological defects with curvature is studied for out-of-surface magnetic vortices in thin spherical nanoshells. In the case of easy-surface Heisenberg magnet it is shown that the curvature of the underlying surface leads to a coupling between the localized out-of-surface component of the vortex with its delocalized in-surface structure, i.e. polarity-chirality coupling.Comment: 6 pages, 4 figure

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“…A precise theoretical description of peculiarities of vortices on spherical surfaces is not available in literature. Most theoretical studies are limited to skyrmion-like solutions 22 .…”

mentioning

confidence: 99%

Out-of-surface vortices in spherical shells

et al. 2012

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“…Similar scenarios are provided by the annulus, the truncated cone [14], the punctured pseudosphere [11] and torus [9]. Periodic soliton solutions can also be obtained for these rotationally symmetric surfaces [13,27] and the differences among the particle-like excitations in these and other geometries are associated to their characteristic length scales [27]. Now, we may wonder whether another solitonic solution, with Θ(ζ, φ) ≡ Θ(φ) and Φ(ζ, φ) = Φ(ζ), should not also appear in this framework.…”

Section: Isotropic Regime and Soliton-like Solutionsmentioning

confidence: 80%

On geometry-dependent vortex stability and topological spin excitations on curved surfaces with cylindrical symmetry

Carvalho-Santos¹,

Apolonio²,

Oliveira-Neto³

2013

Physics Letters A

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We study the Heisenberg Model on cylindrically symmetric curved surfaces. Two kinds of excitations are considered. The first is given by the isotropic regime, yielding the sine-Gordon equation and π-solitons are predicted. The second one is given by the XY model, leading to a vortex turning around the surface. Helical states are also considered, however, topological arguments can not be used to ensure its stability. The energy and the anisotropy parameter which stabilizes the vortex state are explicitly calculated for two surfaces: catenoid and hyperboloid. The results show that the anisotropy and the vortex energy depends on the underlying geometry.

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“…In this respect, it addresses: (i) the interconnection between the magnetic and geometrical topologies, (ii) magnon propagation and excitation, and (iii) spin transport properties without taking into consideration the modification of the electronic band structure of the material. The first theoretical works, that considered curvature-induced effects on magnetic systems, were simplified to the specific set of curvilinear geometries, [89,[147][148][149][150][151][152][153][154][155][156][157] see Figure 2a. In 2014, Gaididei et al [36] introduced a general theoretical approach to treat curvilinear effects in magnetic geometries of arbitrary shape for local micromagnetic interactions.…”

Section: Theoretical Studiesmentioning

confidence: 99%

Section: Theoretical Studiesmentioning

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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Heisenberg spins on a bilayer connected by a neck and other geometries with a characteristic length scale

Cited by 11 publications

References 29 publications

Out-of-surface vortices in spherical shells

Out-of-surface vortices in spherical shells

On geometry-dependent vortex stability and topological spin excitations on curved surfaces with cylindrical symmetry

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

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