Role of higher-order exchange interactions for skyrmion stability

Paul, Souvik; Haldar, Soumyajyoti; Malottki, Stephan von; Heinze, Stefan

doi:10.1038/s41467-020-18473-x

Cited by 81 publications

(67 citation statements)

References 59 publications

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“…In Ref. [127], the four-spin couplings were found to have a large effect on the energy barrier preventing skyrmions (or antiskyrmions) collapse into the ferromagnetic state in several transitionmetal interfaces.…”

Section: Fourth-order Interactions Without Socmentioning

confidence: 99%

Spin Hamiltonians in Magnets: Theories and Computations

Liu

et al. 2021

Molecules

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The effective spin Hamiltonian method has drawn considerable attention for its power to explain and predict magnetic properties in various intriguing materials. In this review, we summarize different types of interactions between spins (hereafter, spin interactions, for short) that may be used in effective spin Hamiltonians as well as the various methods of computing the interaction parameters. A detailed discussion about the merits and possible pitfalls of each technique of computing interaction parameters is provided.

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Section: Fourth-order Interactions Without Socmentioning

confidence: 99%

Spin Hamiltonians in Magnets: Theories and Computations

Liu

et al. 2021

Molecules

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“…The optimal values of the phases θ ν will be determined by multiple factors, such as lattice geometry and interactions between the spins. In the previous studies, the SkXs with Θ = 0 are stabilized, e.g., by the Dzyaloshinskii−Moriya (DM) 6 , 15 , four-spin 16 – 19 , frustrated 20 – 22 , and spin-charge interactions 14 , 23 – 25 on various lattices. The key question addressed here is what is the relevant parameter to cause a phase shift that leads to switching of magnetic, topological, and transport properties.…”

Section: Resultsmentioning

confidence: 96%

Phase shift in skyrmion crystals

2021

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The magnetic skyrmion crystal is a periodic array of a swirling topological spin texture. Since it is regarded as an interference pattern by multiple helical spin density waves, the texture changes with the relative phase shifts among the constituent waves. Although such a phase degree of freedom is relevant to not only magnetism but also transport properties, its effect has not been elucidated thus far. We here theoretically show that a phase shift in the skyrmion crystals leads to a tetra-axial vortex crystal and a meron-antimeron crystal, both of which show a staggered pattern of the scalar spin chirality and give rise to nonreciprocal transport phenomena without the spin-orbit coupling. We demonstrate that such a phase shift can be driven by exchange interactions between the localized spins, thermal fluctuations, and long-range chirality interactions in spin-charge coupled systems. Our results provide a further diversity of topological spin textures and open a new field of emergent electromagnetism by the phase shift engineering.

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“…Hypergraphs are powerful tools to model such group interactions. The interest in exploring the effect of group and higher-order interactions in complex systems has continued to rise in recent years [50][51][52][53][54]. A recent study has shown that high-order interactions have similar bursty behaviour in pairwise interactions in empirical datasets [55].…”

Section: Discussionmentioning

confidence: 99%

A spanning-tree method for constructing temporal networks

Sheng¹,

Qi²,

Li³

et al. 2021

Preprint

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Temporal networks provide a general framework to capture time-varying interactions of complex systems. The interevent time (IET), the time interval between two successive interactions, is a common statistic to characterize the structure of temporal networks. Previous findings support that burstiness, the IET distribution to be heavy-tailed, is ubiquitous in the activity of nodes and links on empirical temporal networks. However, an analytical method for generating such a non-trivial phenomenon is still lacking. Here we propose a spanningtree method to construct temporal networks with any consistent activity pattern, including bursty and Poissonian activity patterns. Specifically, our method theoretically ensures that the synthetic IET distribution of every single node/link can match with any targeted distribution fulfilling a consistency (necessary and sufficient) condition, and the underlying topology based on which our construction process is carried out can be either static or time-varying. Our method reproduces the observed burstiness in empirical datasets and uncovers the laws of temporal interactions, which is a key determinant to further study dynamical processes in real-world complex systems.

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Role of higher-order exchange interactions for skyrmion stability

Cited by 81 publications

References 59 publications

Spin Hamiltonians in Magnets: Theories and Computations

Spin Hamiltonians in Magnets: Theories and Computations

Phase shift in skyrmion crystals

A spanning-tree method for constructing temporal networks

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