Describing synchronization and topological excitations in arrays of magnetic spin torque oscillators through the Kuramoto model

The collective dynamics in populations of magnetic spin torque oscillators (STO) is an intensely studied topic in modern magnetism. Here, we show that arrays of STO coupled via dipolar fields can be modeled using a variant of the Kuramoto model, a well-known mathematical model in non-linear dynamics...

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Bibliographic Details
Published in:Scientific reports 2016-09, Vol.6 (1), p.32528-32528, Article 32528
Main Authors: Flovik, Vegard, Macià, Ferran, Wahlström, Erik
Format: Article
Language:English
Subjects:
639/766/119/1001
639/766/530/2803
Approximation
Arrays
Humanities and Social Sciences
Magnetism
Mathematical models
multidisciplinary
Neural networks
Oscillators
Science
Synchronization
Vortices
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Summary:The collective dynamics in populations of magnetic spin torque oscillators (STO) is an intensely studied topic in modern magnetism. Here, we show that arrays of STO coupled via dipolar fields can be modeled using a variant of the Kuramoto model, a well-known mathematical model in non-linear dynamics. By investigating the collective dynamics in arrays of STO we find that the synchronization in such systems is a finite size effect and show that the critical coupling—for a complete synchronized state—scales with the number of oscillators. Using realistic values of the dipolar coupling strength between STO we show that this imposes an upper limit for the maximum number of oscillators that can be synchronized. Further, we show that the lack of long range order is associated with the formation of topological defects in the phase field similar to the two-dimensional XY model of ferromagnetism. Our results shed new light on the synchronization of STO, where controlling the mutual synchronization of several oscillators is considered crucial for applications.
ISSN:2045-2322
2045-2322
DOI:10.1038/srep32528