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Synchrony breakdown and noise-induced oscillation death in ensembles of serially connected spin-torque oscillators

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Abstract

We consider collective dynamics in the ensemble of serially connected spin-torque oscillators governed by the Landau–Lifshitz–Gilbert–Slonczewski magnetization equation. Proximity to homoclinicity hampers synchronization of spin-torque oscillators: when the synchronous ensemble experiences the homoclinic bifurcation, the growth rate per oscillation of small deviations from the ensemble mean diverges. Depending on the configuration of the contour, sufficiently strong common noise, exemplified by stochastic oscillations of the current through the circuit, may suppress precession of the magnetic field for all oscillators. We derive the explicit expression for the threshold amplitude of noise, enabling this suppression.

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References

  1. Y. Kuramoto, in International Symposium on Mathematical Problems in Theoretical Physics, Lecture Notes Physics, edited by H. Araki (Springer, New York, 1975), Vol. 39, p. 420

  2. S. Gupta, A. Campa, S. Ruffo, Statistical Physics of Synchronization (Springer, Switzerland, 2018)

  3. A. Pikovsky, M. Rosenblum, Chaos 25, 097616 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  4. A. Slavin, V. Tiberkevich, IEEE Trans. Magn. 45, 1875 (2009)

    Article  ADS  Google Scholar 

  5. T. Chen et al., Proc. IEEE 104, 1919 (2016)

    Article  Google Scholar 

  6. F. Abreu Araujo, J. Grollier, J. Appl. Phys. 120, 103903 (2016)

    Article  ADS  Google Scholar 

  7. H.-H. Chen, C.-M. Lee, Z. Zhang, Y. Liu, J.-C. Wu, L. Horng, C.-R. Chang, Phys. Rev. B 93, 224410 (2016)

    Article  ADS  Google Scholar 

  8. K. Yogendra, D. Fan, K. Roy, IEEE Trans. Magn. 51, 4003909 (2015)

    Article  Google Scholar 

  9. F. Abreu Araujo, A.D. Belanovsky, P.N. Skirdkov, K.A. Zvezdin, A.K. Zvezdin, N. Locatelli, R. Lebrun, J. Grollier, V. Cros, G. de Loubens, O. Klein, Phys. Rev. B 92, 045419 (2015)

    Article  ADS  Google Scholar 

  10. T. Kendziorczyk, S.O. Demokritov, T. Kuhn, Phys. Rev. B 90, 054414 (2014)

    Article  ADS  Google Scholar 

  11. V.E. Demidov, H. Ulrichs, S.V. Gurevich, S.O. Demokritov, V.S. Tiberkevich, A.N. Slavin, A. Zholud, S. Urazhdin, Nat. Commun. 5, 3179 (2014)

    Article  ADS  Google Scholar 

  12. S. Erokhin, D. Berkov, Phys. Rev. B 89, 144421 (2014)

    Article  ADS  Google Scholar 

  13. R. Lebrun, A. Jenkins, A. Dussaux, N. Locatelli, S. Tsunegi, E. Grimaldi, H. Kubota, P. Bortolotti, K. Yakushiji, J. Grollier, A. Fukushima, S. Yuasa, V. Cros, Phys. Rev. Lett. 115, 017201 (2015)

    Article  ADS  Google Scholar 

  14. V. Flovik, F. Maciá, E. Wahlström, Sci. Rep. 6, 32528 (2016)

    Article  ADS  Google Scholar 

  15. J. Grollier, V. Cros, A. Fert, Phys. Rev. B 73, 060409(R) (2006)

    Article  ADS  Google Scholar 

  16. B. Georges, J. Grollier, V. Cros, A. Fert, Appl. Phys. Lett. 92, 232504 (2008)

    Article  ADS  Google Scholar 

  17. D. Li, Y. Zhou, C. Zhou, B. Hu, Phys. Rev. B 82, 140407(R) (2010)

    Article  ADS  Google Scholar 

  18. D. Li, Y. Zhou, B. Hu, C. Zhou, Phys. Rev. B 84, 104414 (2011)

    Article  ADS  Google Scholar 

  19. D. Li, Y. Zhou, B. Hu, J. Åkerman, C. Zhou, Phys. Rev. B 86, 014418 (2012)

    Article  ADS  Google Scholar 

  20. A. Pikovsky, Phys. Rev. E 88, 032812 (2013)

    Article  ADS  Google Scholar 

  21. J. Turtle, P.-L. Buono, A. Palacios, C. Dabrowski, V. In, P. Longhini, Phys. Rev. B 95, 144412 (2017)

    Article  ADS  Google Scholar 

  22. V. Tiberkevich, A. Slavin, E. Bankowski, G. Gerhart, Appl. Phys. Lett. 95, 262505 (2009)

    Article  ADS  Google Scholar 

  23. S. Tsunegi, T. Taniguchi, R. Lebrun, K. Yakushiji, V. Cros, J. Grollier, A. Fukushima, S. Yuasa, H. Kubota, Sci. Rep. 8, 13475 (2018)

    Article  ADS  Google Scholar 

  24. M. Zaks, A. Pikovsky, Sci. Rep. 7, 4648 (2017)

    Article  ADS  Google Scholar 

  25. B. Subash, V.K. Chandrasekar, M. Lakshmanan, Europhys. Lett. 109, 17009 (2015)

    Article  ADS  Google Scholar 

  26. R. Lebrun, S. Tsunegi, P. Bortolotti, H. Kubota, A.S. Jenkins, M. Romera, K. Yakushiji, A. Fukushima, J. Grollier, S. Yuasa, V. Cros, Nat. Commun. 8, 15825 (2017)

    Article  ADS  Google Scholar 

  27. J. Turtle, K. Beauvais, R. Shaffer, A. Palacios, V. In, T. Emery, P. Longhini, J. Appl. Phys. 113, 114901 (2013)

    Article  ADS  Google Scholar 

  28. M.A. Zaks, A. Pikovsky, Physica D 335, 33 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  29. K. Nakada, S. Yakata, T. Kimura, J. Appl. Phys. 111, 07C920 (2012)

    Article  Google Scholar 

  30. H. Arai, H. Imamura, IEEE Trans. Magn. 53, 6100705 (2017)

    Article  Google Scholar 

  31. J.C. Slonczewski, J. Magn. Magn. Mater. 159, L1 (1996)

    Article  ADS  Google Scholar 

  32. J. Sinova, T. Jungwirth, X. Liu, Y. Sasaki, J.K. Furdyna, W.A. Atkinson, A.H. MacDonald, Phys. Rev. B 69, 085209 (2004)

    Article  ADS  Google Scholar 

  33. J.M. Gambaudo, P. Glendinning, C. Tresser, Nonlinearity 1, 203 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  34. A. Pikovsky, A. Politi, Lyapunov Exponents. A Tool to Explore Complex Dynamics (Cambridge University Press, Cambridge, 2016)

  35. P. Coullet, E. Riesler, N. Vandenberghe, J. Stat. Phys. 101, 521 (2000)

    Article  ADS  Google Scholar 

  36. E. Riesler, Commun. Math. Phys. 216, 325 (2001)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institute of Physics, Humboldt University of Berlin, Berlin, Germany

    Michael A. Zaks

  2. Department of Control Theory, Lobachevsky University Nizhni Novgorod, Nizhnij Novgorod, Russia

    Michael A. Zaks & Arkady Pikovsky

  3. Institute of Physics and Astronomy, University of Potsdam, Potsdam, Germany

    Arkady Pikovsky

Authors
  1. Michael A. Zaks
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  2. Arkady Pikovsky
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Correspondence to Michael A. Zaks.

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Zaks, M.A., Pikovsky, A. Synchrony breakdown and noise-induced oscillation death in ensembles of serially connected spin-torque oscillators. Eur. Phys. J. B 92, 160 (2019). https://doi.org/10.1140/epjb/e2019-100152-2

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  • DOI: https://doi.org/10.1140/epjb/e2019-100152-2

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