Mode coupling in spin torque oscillators

Zhang, Steven S. -L.; Zhou, Yan; Li, Dong; Heinonen, Olle

doi:10.1016/j.jmmm.2016.04.041

Title: Mode coupling in spin torque oscillators

Journal Article · Thu Sep 15 00:00:00 EDT 2016 · Journal of Magnetism and Magnetic Materials

DOI:https://doi.org/10.1016/j.jmmm.2016.04.041· OSTI ID:1336254

Zhang, Steven S. -L. ^[1]; Zhou, Yan ^[2]; Li, Dong ^[3]; Heinonen, Olle ^[4]

Univ. of Missouri, Columbia, MO (United States). Dept. of Physics and Astronomy
Univ. of Hong Kong (China). Dept. of Physics; Univ. of Hong Kong (China). Center of Theoretical and Computational Physics
Hong Kong Baptist Univ., Hong Kong (China). Centre for Nonlinear Studies, and Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems, Dept. of Physics
Argonne National Lab. (ANL), Argonne, IL (United States). Material Science Division; Northwestern-Argonne Inst. of Science and Technology, Evanston, IL (United States); Univ. of Chicago, IL (United States). Computation Inst.

A number of recent experimental works have shown that the dynamics of a single spin torque oscillator can exhibit complex behavior that stems from interactions between two or more modes of the oscillator, such as observed mode-hopping or mode coexistence. There has been some initial work indicating how the theory for a single-mode (macro-spin) spin torque oscillator should be generalized to include several modes and the interactions between them. In the present work, we rigorously derive such a theory starting with the Landau–Lifshitz–Gilbert equation for magnetization dynamics by expanding up to third-order terms in deviation from equilibrium. Here, our results show how a linear mode coupling, which is necessary for observed mode-hopping to occur, arises through coupling to a magnon bath. In conclusion, the acquired temperature dependence of this coupling implies that the manifold of orbits and fixed points may shift with temperature.

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Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); National Natural Science Foundation of China (NSFC)

Grant/Contract Number:: AC02-06CH11357; DMR-1406568; HKU 17210014

OSTI ID:: 1336254

Alternate ID(s):: OSTI ID: 1359364

Journal Information:: Journal of Magnetism and Magnetic Materials, Vol. 414, Issue C; ISSN 0304-8853

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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