Synchronization of the Self-Oscillations of the Magnetic Vortices in Exchange-Coupled Ferromagnetic Disks

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Abstract

The low-frequency (gyrotropic) self-oscillations of the magnetic vortices in interacting ferromagnetic disks, which are caused by a spin-polarized current, are studied by numerical simulation. Various magnetization oscillation modes depending on the configuration of the magnetic state of the system are considered. The influence of the pumping current nonuniformity on the phase difference of the vortex gyration in neighboring disks is investigated. The overlap of the disks is shown to increase the interaction between the vortices and, hence, to decrease the dephasing of the vortex core oscillations. The prospects of using overlapping disks to ensure phase synchronization of arrays of spin-transfer vortex oscillators are discussed.

About the authors

D. A Tatarskiy

Institute for Physics of Microstructures, Russian Academy of Sciences; Lobachevsky State University of Nizhny Novgorod

Email: tatarsky@ipmras.ru
607680, Nizhny Novgorod, Russia; 603950, Nizhny Novgorod, Russia

V. L Mironov

Institute for Physics of Microstructures, Russian Academy of Sciences

Email: tatarsky@ipmras.ru
607680, Nizhny Novgorod, Russia

A. A Fraerman

Institute for Physics of Microstructures, Russian Academy of Sciences

Author for correspondence.
Email: tatarsky@ipmras.ru
607680, Nizhny Novgorod, Russia

References

  1. Z. Zeng, G. Finocchio, and H. Jiang, Nanoscale 5, 2219 (2013).
  2. T. Chen, R. Dumas, A. Eklund, P. Muduli, A. Houshang, A. Awad, P. Durrenfeld, B. Malm, A. Rusu, and J. Akerman, Proc. IEEE 104, 7505988 (2016).
  3. J. Slonczewski, J.Magn.Magn.Mater. 159, L1 (1996).
  4. L. Berger, Phys.Rev.B 54, 9353 (1996).
  5. S. Kiselev, J. Sankey, I. Krivorotov, N. Emley, R. Schoelkopf, R. Buhrman, and D. Ralph, Nature 425, 380 (2003).
  6. W. Rippard, M. Pufall, S. Kaka, S. Russek, and T. Silva, Phys.Rev.Lett. 92, 272011 (2004).
  7. A. Deac, A. Fukushima, H. Kubota, H. Maehara, Y. Suzuki, S. Yuasa, Y. Nagamine, K. Tsunekawa, D. Djayaprawira, and N. Watanabe, Nature Phys. 4, 803, (2008).
  8. A. Nazarov, H. Olson, H. Cho, K. Nikolaev, Z. Gao, Stokes, S„ and B. Pant, Appl.Phys.Lett. 88, 162504 (2006).
  9. D. Houssameddine, S. Florez, J. Katine, J. Michel, U. Ebels, D. Mauri, O. Ozatay, B. Delaet, B. Viala, L. Folks, B. Terris, and M. Cyrille, Appl.Phys. Lett. 93, 022505 (2008).
  10. V. Pribiag, I. Krivorotov, G. Fuchs, P. Braganca, O. Ozatay, J. Sankey, D. Ralph, and R. Buhrman, Nature Phys. 3, 498 (2007).
  11. R. Lehndorff, D.Burgler, S.Gliga, R.Hertel, P.Grunberg, C. Schneider, and Z. Celinski, Phys. Rev.B 80, 054412 (2009).
  12. A.Dussaux, B.Georges, J.Grollier, V.Cros, A.Khvalkovskiy, A.Fukushima, M.Konoto, H.Kubota, K.Yakushiji, S.Yuasa, K. Zvezdin, K.Ando, and A. Fert, Nature Commun. 1, 8 (2010).
  13. S. Tsunegi, K. Yakushiji, A. Fukushima, S. Yuasa, and H. Kubota, Appl.Phys. Lett. 109, 252402 (2016).
  14. F. Mancoff, N. Rizzo, B. Engel, and S. Tehrani, Nature 437, 393 (2005).
  15. Abreu F. Araujo, A. Belanovsky, P. Skirdkov, K. Zvezdin, A. Zvezdin, N. Locatelli, R. Lebrun, J. Grollier, V. Cros, De G. Loubens, and O. Klein, Phys.Rev.B 92, 045419 (2015).
  16. N. Locatelli, A. Hamadeh, Abreu F. Araujo, A. Belanovsky, P. Skirdkov, R. Lebrun, V. Naletov, K. Zvezdin, M. Munoz, J. Grollier, O. Klein, V. Cros, and G. De Loubens, Sci.Rep. 5, 17039 (2015).
  17. S. Kaka, M. Pufall, W. Rippard, T. Silva, S. Russek, and J. Katine, Nature 437, 389 (2005).
  18. S. Erokhin and D. Berkov, Phys.Rev.B 89, 144421 (2014).
  19. A.Ruotolo, V.Cros, B.Georges, A.Dussaux, J.Grollier, C.Deranlot, R.Guillemet, K.Bouzehouane, S. Fusil, and A. Fert, Nature Nanotech. 4, 528 (2009).
  20. Q. Zhu, Q. Zheng, X. Liu, J. Wang, and Q. Liu, J.Appl.Phys. 117, 173907 (2015).
  21. T. Kendziorczyk, S. Demokritov and T. Kuhn, Phys. Rev.B 90, 054414 (2014).
  22. M. Kreissig, R. Lebrun, F. Protze, K. Merazzo-Jaimes, J. Hem, L. Vila, R. Ferreira, M. Cyrille, F. Ellinger, V. Cros, U. Ebels, and P. Bortolotti, AIP Adv. 7, 056653 (2017).
  23. Y. Li, X. De Milly, Abreu F. Araujo, O. Klein, V. Cros, J. Grollier, and G. De Loubens, Phys.Rev. Lett. 118, 247202 (2017).
  24. S. Tsunegi, T. Taniguchi, R. Lebrun, K. Yakushiji, V. Cros, J. Grollier, A. Fukushima, S. Yuasa, and H. Kubota, Sci.Rep. 8, 13475 (2018).
  25. M. Riou, J. Torrejon, B. Garitaine, F. Abreu Araujo, P. Bortolotti, V. Cros, S. Tsunegi, K. Yakushiji, A. Fukushima, H. Kubota, S. Yuasa, D. Querlioz, M. Stiles, and J. Grollier, Phys.Rev.Appl. 12, 024049 (2019).
  26. H. Singh, A. Bose, S. Bhuktare, A. Fukushima, K. Yakushiji, S. Yuasa, H. Kubota, and A. Tulapurkar, Phys.Rev.Appl. 10, 024001 (2018).
  27. H. Singh, S. Bhuktare, A. Bose, A. Fukushima, K. Yakushiji, S. Yuasa, H. Kubota, and A. Tulapurkar, Phys.Rev.Appl. 11, 054028 (2019).
  28. A. Slavin and V. Tiberkevich, IEEE Trans.Magn. 45, 1875 (2009).
  29. A. Belanovsky, N. Locatelli, P. Skirdkov, F. Araujo, J. Grollier, K. Zvezdin, V. Cros, and A. Zvezdin, Phys.Rev.B 85, 100409 (2012).
  30. H. Hong, H. Park, and M. Choi, Phys.Rev.E 72, 036217 (2005).
  31. V. Flovik, F. Macl'a, and E. Wahlstrom, Sci.Rep. 6 32528 (2016).
  32. H. Hata, M. Goto, A. Yamaguchi, T. Sato, Y. Nakatani, and Y. Nozaki, Phys.Rev.B 90, 104418 (2014).
  33. S. Jain, H. Schultheiss, O.Heinonen, F. Fradin, J.Pearson, S. Bader, and V. Novosad, Phys.Rev.B 86, 214418 (2012).
  34. J. Xiao, A. Zangwill, and M. Stiles, Phys.Rev.B 70, 172405 (2004).
  35. A. Vansteenkiste, J. Leliaert, M. Dvornik, M. Helsen, F. Garcia-Sanchez, and B. Van Waeyenberge, AIP Adv. 4, 107133 (2014).
  36. G. Abo, Y. Hong, J. Park, J. Lee, W. Lee, and B. Choi, IEEE Trans.Magn. 49, 4937 (2013).
  37. M. Noske, H. Stoll, M. Fahnle, A. Gangwar, G. Woltersdorf, A. Slavin, M. Weigand, G. Dieterle, J. Forster, C. Back, and G. Schutz, Phys.Rev.Lett. 117, 037208 (2016).
  38. D. Sheka, Y. Gaididei, and F. Mertens, Appl.Phys. Lett. 91, 082509 (2007).
  39. K. Guslienko, K. Lee, and S. Kim, Phys.Rev.Lett. 100, 027203 (2008).
  40. Y. Choi, S. Kim, K. Lee, and Y. Yu, Appl.Phys. Lett. 93, 182508 (2008).
  41. V. L. Mironov, D.A. Tatarskiy, A.D. Efimov, and A.A. Fraerman, IEEE Trans.Magn. 57, 4300906 (2021).
  42. M. Schneider, H. Hoffmann, and J. Zweck, Appl. Phys. Lett. 79, 3113 (2001).

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