Advertisement

Breathers and rogue waves in a ferromagnetic thin film with the Dzyaloshinskii-Moriya interaction

  • Zhi-Hao Deng
  • Tianle Wu
  • Bing TangEmail author
  • Xiao-Yun Wang
  • He-Ping Zhao
  • Ke Deng
Regular Article

Abstract.

We report a theoretical research on nonlinear localized excitations in a ferromagnetic thin film with an interfacial Dzyaloshinskii-Moriya interaction. Employing the Generalized Darboux transformation, analytical forms for magnetic breathers and the first- to third-order rogue wave solutions are exactly constructed. It is found that the introduction of the Dzyaloshinskii-Moriya interaction may lead to a reverse effect of the propagation direction of the magnetic breather, and varying the value of the Dzyaloshinskii-Moriya interaction parameter can change the velocity of the magnetic breather. Furthermore, our results display that first- to third-order magnetic rogue waves will rotate clockwise as the intensity of the Dzyaloshinskii-Moriya interaction increases.

References

  1. 1.
    N. Lazarides, M. Eleftheriou, G.P. Tsironis, Phys. Rev. Lett. 97, 157406 (2006)CrossRefGoogle Scholar
  2. 2.
    X. Lü, J.-P. Wang, F.-H. Lin, X.-W. Zhou, Nonlinear Dyn. 91, 1249 (2018)CrossRefGoogle Scholar
  3. 3.
    M.-G. Suh, K.J. Vahala, Science 359, 884 (2018)CrossRefGoogle Scholar
  4. 4.
    L. Wang, Y.-J. Zhu, Z.-Q. Wang, T. Xu, F.-H. Qi, J. Phys. Soc. Jpn. 85, 024001 (2016)CrossRefGoogle Scholar
  5. 5.
    J.-H. Zhang, L. Wang, C. Liu, Proc. R. Soc. A 473, 20160681 (2017)CrossRefGoogle Scholar
  6. 6.
    L. Wang, X. Li, F.-H. Qi, L.-L. Zhang, Ann. Phys. 359, 97 (2015)CrossRefGoogle Scholar
  7. 7.
    H. Zhang, D.-Y. Tang, L.-M. Zhao, X. Wu, Phys. Rev. B 80, 052302 (2009)CrossRefGoogle Scholar
  8. 8.
    Y. Chen, M. Wu, P. Tang, S. Chen, J. Du, G. Jiang, Y. Li, C. Zhao, H. Zhang, S. Wen, Laser Phys. Lett. 11, 055101 (2014)CrossRefGoogle Scholar
  9. 9.
    W.-J. Liu, M.-L. Liu, J.-D. Yin, H. Chen, W. Lu, S.-b. Fang, H. Teng, M. Lei, P.-G. Yan, Z.-Y. Wei, Nanoscale 10, 7971 (2018)CrossRefGoogle Scholar
  10. 10.
    P. Li, L. Wang, L.Q. Kong, X. Wang, Z.Y. Xie, Appl. Math. Lett. 85, 110 (2018)MathSciNetCrossRefGoogle Scholar
  11. 11.
    C.-Y. Yang, W.-Y. Li, W.-T. Yu, M.-L. Liu, Y.-J. Zhang, G.-L. Ma, M. Lei, W.-J. Liu, Nonlinear Dyn. 92, 203 (2018)CrossRefGoogle Scholar
  12. 12.
    J.-S. Ponraj, Z.-Q. Xu, S.C. Dhanabalan, H. Mu, Y. Wang, J. Yuan, P. Li, S. Thakur, M. Ashrafi, K. Mccoubrey, Y. Zhang, S. Li, H. Zhang, Q. Bao, Nanotechnology 18, 462001 (2016)CrossRefGoogle Scholar
  13. 13.
    Y.C. Ma, Stud. Appl. Math. 60, 43 (1979)MathSciNetCrossRefGoogle Scholar
  14. 14.
    D.H. Peregrine, J. Aust. Math. Soc. Ser. B (Appl. Math.) 25, 16 (1983)MathSciNetCrossRefGoogle Scholar
  15. 15.
    Y. Ohta, J. Yang, Proc. R. Soc. A. 468, 1716 (2012)CrossRefGoogle Scholar
  16. 16.
    L.-H. Wang, K. Porsezian, J.-S. He, Phys. Rev. E 87, 053202 (2013)CrossRefGoogle Scholar
  17. 17.
    F. Baronio, M. Conforti, A. Degasperis, S. Lombardo, Phys. Rev. Lett. 111, 114101 (2013)CrossRefGoogle Scholar
  18. 18.
    C.Q. Dai, G.Q. Zhou, J.F. Zhang, Phys. Rev. E 85, 016603 (2012)CrossRefGoogle Scholar
  19. 19.
    J.-S. He, L.-H. Wang, L.-J. Li, K. Porsezian, R. Erdélyi, Phys. Rev. E 89, 062917 (2014)CrossRefGoogle Scholar
  20. 20.
    C.Z. Li, J.S. He, K. Porsezian, Phys. Rev. E 87, 012913 (2013)CrossRefGoogle Scholar
  21. 21.
    J.S. He, S.W. Xu, K. Porsezian, J. Phys. Soc. Jpn. 81, 124007 (2012)CrossRefGoogle Scholar
  22. 22.
    Y. Ohta, J. Yang, Phys. Rev. E 86, 036604 (2012)CrossRefGoogle Scholar
  23. 23.
    Y. Ohta, J. Yang, J. Phys. A 40, 961 (2007)MathSciNetCrossRefGoogle Scholar
  24. 24.
    L. Wang, D.-Y. Jiang, F.-H. Qi, Y.-Y. Shi, Y.-C. Zhao, Commun. Nonlinear Sci. Numer. Simul. 42, 502 (2017)MathSciNetCrossRefGoogle Scholar
  25. 25.
    A.-N. Ganshin, V.-B. Efimov, G.-V. Kolmakov, L.-P. Mezhov-Deglin, P.-V.E. McClintock, Phys. Rev. Lett. 101, 065303 (2008)CrossRefGoogle Scholar
  26. 26.
    Y.-V. Bludov, V.-V. Konotop, N. Akhmediev, Phys. Rev. A 80, 033610 (2009)CrossRefGoogle Scholar
  27. 27.
    S. Vergeles, S.-K. Turitsyn, Phys. Rev. E 83, 061801 (2011)CrossRefGoogle Scholar
  28. 28.
    R.E. Koussaifi, A. Tikan, A. Toffoli, S. Randoux, P. Suret, M. Onorato, Phys. Rev. E 97, 012208 (2018)CrossRefGoogle Scholar
  29. 29.
    A.-M. Kosevich, B.-A. Ivanov, A.-S. Kovalev, Phys. Rep. 194, 117 (1990)CrossRefGoogle Scholar
  30. 30.
    Z.-D. Li, P.-B. He, W.-M. Liu, Chin. Phys. B 23, 117502 (2014)CrossRefGoogle Scholar
  31. 31.
    H.-J. Mikeska, M. Steiner, Adv. Phys. 40, 191 (1991)CrossRefGoogle Scholar
  32. 32.
    B.-A. Ivanov, Low Temp. Phys. 31, 635 (2005)CrossRefGoogle Scholar
  33. 33.
    V.-G. Bar'yakhtar, B.-A. Ivanov, Sov. Sci. Rev. Sect. A. 16, 1 (1992)Google Scholar
  34. 34.
    B.-A. Ivanov, A.-Y. Galkin, R.-S. Khymyn, A.-Y. Merkulov, Phys. Rev. B 77, 064402 (2008)CrossRefGoogle Scholar
  35. 35.
    M.-A. Hoefer, M. Sommacal, T.-J. Silva, Phys. Rev. B 85, 214433 (2012)CrossRefGoogle Scholar
  36. 36.
    D.-D. Sheka, B.-A. Ivanov, G.-M. Franz, Phys. Rev. B 64, 024432 (2001)CrossRefGoogle Scholar
  37. 37.
    E. Iacocca, T.-J. Silva, M.-A. Hoefer, Phys. Rev. Lett. 118, 017203 (2017)CrossRefGoogle Scholar
  38. 38.
    N. Romming, C. Hanneken, M. Menzel, J.E. Bickel, B. Wolter, K.V. Bergmann, A. Kubetzka, R. Wiesendanger, Science 341, 636 (2013)CrossRefGoogle Scholar
  39. 39.
    P. Wills, E. Iacocca, M.A. Hoefer, Phys. Rev. B 93, 144408 (2016)CrossRefGoogle Scholar
  40. 40.
    K.-A. Long, A.-R. Bishop, J. Phys. A 12, 1325 (1979)MathSciNetCrossRefGoogle Scholar
  41. 41.
    Z.-Y. Chen, N.-N. Huang, Z.-Z. Liu, J. Phys. Condens. Matter. 7, 4533 (1995)CrossRefGoogle Scholar
  42. 42.
    N.-N. Huang, Z.-Y. Chen, Z.-Z. Liu, Phys. Rev. Lett. 75, 1395 (1995)CrossRefGoogle Scholar
  43. 43.
    L.A. Takhtajan, Phys. Lett. A. 64, 235 (1977)MathSciNetCrossRefGoogle Scholar
  44. 44.
    Z.-D. Li, Y.-L. Qiu, P.-B. He, Z.-G. Bai, Y.-B. Sun, Ann. Phys. 322, 2945 (2007)CrossRefGoogle Scholar
  45. 45.
    P.-B. He, W.-M. Liu, Phys. Rev. B 72, 064410 (2005)CrossRefGoogle Scholar
  46. 46.
    Z.-D. Li, Q.-Y. Li, L. Li, W.-M. Liu, Phys. Rev. E 76, 026605 (2007)CrossRefGoogle Scholar
  47. 47.
    F. Zhao, Z.-D. Li, Q.-Y. Li, L. Wen, G. Fu, W.-M. Liu, Ann. Phys. 327, 2085 (2012)CrossRefGoogle Scholar
  48. 48.
    Z.-D. Li, Q.-Y. Li, T.-F. Xu, P.-B. He, Phys. Rev. E 94, 042220 (2016)CrossRefGoogle Scholar
  49. 49.
    K. Di, V.-L. Zhang, H.-S. Lim, S.-C. Ng, M.-H. Kuok, J. Yu, J. Yoon, X. Qiu, H. Yang, Phys. Rev. Lett. 114, 047201 (2015)CrossRefGoogle Scholar
  50. 50.
    A.A. Stashkevich, M. Belmeguenai, Y. Roussigné, S.M. Cherif, M. Kostylev, M. Gabor, D. Lacour, C. Tiusan, M. Hehn, Phys. Rev. B 91, 214409 (2015)CrossRefGoogle Scholar
  51. 51.
    Kh. Zakeri, Y. Zhang, J. Prokop, T.-H. Chuang, N. Sakr, W.X. Tang, J. Kirschner, Phys. Rev. Lett. 104, 137203 (2010)CrossRefGoogle Scholar
  52. 52.
    J.-H. Moon, S.-M. Seo, K.-J. Lee, K.-W. Kim, J. Ryu, H.-W. Lee, R.D. McMichael, M.D. Stiles, Phys. Rev. B 88, 184404 (2013)CrossRefGoogle Scholar
  53. 53.
    T. Brächer, O. Boulle, G. Gaudin, P. Pirro, Phys. Rev. B 95, 064429 (2017)CrossRefGoogle Scholar
  54. 54.
    F. Garcia-Sanchez, P. Borys, A. Vansteenkiste, J.-V. Kim, R.L. Stamps, Phys. Rev. B 89, 224408 (2014)CrossRefGoogle Scholar
  55. 55.
    J.-V. Kim, R.L. Stamps, R.E. Camley, Phys. Rev. Lett. 117, 197204 (2016)CrossRefGoogle Scholar
  56. 56.
    V.B. Matveev, M.A. Salle, Darbooux Transformation and Soliton (Springer, Berlin, 1991)Google Scholar
  57. 57.
    L. Guo, L. Wang, Y. Cheng, J. He, Commun. Nonlinear Sci. Numer. Simul. 52, 11 (2017)MathSciNetCrossRefGoogle Scholar
  58. 58.
    F. Yuan, D. Qiu, W. Liu, K. Porsezian, J. He, Commun. Nonlinear Sci. Numer. Simul. 44, 245 (2017)MathSciNetCrossRefGoogle Scholar
  59. 59.
    L. Wang, J.-H. Zhang, C. Liu, M. Li, F.-H. Qi, Phys. Rev. E 93, 062217 (2016)MathSciNetCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Zhi-Hao Deng
    • 1
  • Tianle Wu
    • 1
  • Bing Tang
    • 1
    Email author
  • Xiao-Yun Wang
    • 1
  • He-Ping Zhao
    • 1
  • Ke Deng
    • 1
  1. 1.College of Physics, Mechanical and Electrical EngineeringJishou UniversityJishouChina

Personalised recommendations