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Theoretical Model of Magnetic Skyrmions

  • Shinichiro Seki
  • Masahito Mochizuki
Chapter
  • 1.5k Downloads
Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Abstract

Skyrmions were originally proposed by Tony Skyrme in the 1960s to account for the stability of hadrons in particle physics as a topological solution of the non-linear sigma model. Bogdanov and his collaborators theoretically predicted their realisation in chiral-lattice ferromagnets with finite Dzyaloshinskii–Moriya interaction due to the lack of spatial inversion symmetry. In this chapter, an overview of theoretical aspects of magnetic skyrmions is provided.

Keywords

Bulk Specimen Ferromagnetic Exchange Magnetic Dipole Interaction Experimental Phase Diagram Pitch Length 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    J.C. Slonczewski, J. Magn. Magn. Mater. 159, L1 (1996)ADSCrossRefGoogle Scholar
  2. 2.
    L. Berger, Phys. Rev. B 54, 9353 (1996)ADSCrossRefGoogle Scholar
  3. 3.
    S.E. Barns, S. Maekawa, Phys. Rev. Lett. 95, 107204 (2005)ADSCrossRefGoogle Scholar
  4. 4.
    S.S.P. Parkin, M. Hayashi, L. Thomas, Science 320, 190 (2008)ADSCrossRefGoogle Scholar
  5. 5.
    Y. Tokura, Science 312, 1481 (2006)CrossRefGoogle Scholar
  6. 6.
    S.-W. Cheong, M. Mostovoy, Nat. Mater. 6, 13 (2007)ADSCrossRefGoogle Scholar
  7. 7.
    H. Katsura, A.V. Balatsky, N. Nagaosa, Phys. Rev. Lett. 95, 057205 (2005)ADSCrossRefGoogle Scholar
  8. 8.
    C. Pfleiderer, Nat. Phys. 7, 673 (2011)CrossRefGoogle Scholar
  9. 9.
    N. Nagaosa, Y. Tokura, Nat. Nanotech. 8, 899 (2013)ADSCrossRefGoogle Scholar
  10. 10.
    A. Fert, V. Cros, J. Sampaio, Nat. Nanotech. 8, 152 (2013)ADSCrossRefGoogle Scholar
  11. 11.
    T.H.R. Skyrme, Proc. R. Soc. A 260, 127 (1961)ADSMathSciNetCrossRefGoogle Scholar
  12. 12.
    T.H.R. Skyrme, Nucl. Phys. 31, 556 (1962)MathSciNetCrossRefGoogle Scholar
  13. 13.
    S.L. Sondhi, A. Karlhede, S.A. Kivelson, E.H. Rezayi, Phys. Rev. B 47, 16419 (1993)ADSCrossRefGoogle Scholar
  14. 14.
    M. Abolfath, J.J. Palacios, H.A. Fertig, S.M. Girvin, A.H. MacDonald, Phys. Rev. B 56, 6795 (1997)ADSCrossRefGoogle Scholar
  15. 15.
    S. Heinze, K. von Bergmann, M. Menzel, J. Brede, A. Kubetzka, R. Wiesendanger, G. Bihlmayer, S. Blügel, Nat. Phys. 7, 713 (2011)CrossRefGoogle Scholar
  16. 16.
    I. Raičević, D. Popović, C. Panagopoulos, L. Benfatto, M.B. Silva Neto, E.S. Choi, T. Sasagawa, Phys. Rev. Lett. 106, 227206 (2011)ADSCrossRefGoogle Scholar
  17. 17.
    D.C. Wright, N.D. Mermin, Rev. Mod. Phys. 61, 385 (1989)ADSCrossRefGoogle Scholar
  18. 18.
    T.L. Ho, Phys. Rev. Lett. 81, 742 (1998)ADSCrossRefGoogle Scholar
  19. 19.
    A.N. Bogdanov, D.A. Yablonskii, Sov. Phys. JETP 68, 101 (1989)Google Scholar
  20. 20.
    A. Bogdanov, A. Hubert, J. Magn. Magn. Mat. 138, 255 (1994)ADSCrossRefGoogle Scholar
  21. 21.
    U.K. Rößler, A.N. Bogdanov, C. Pfleiderer, Nature 442, 797 (2006)ADSCrossRefGoogle Scholar
  22. 22.
    X.Z. Yu, Y. Onose, N. Kanazawa, J.H. Park, J.H. Han, Y. Matsui, N. Nagaosa, Y. Tokura, Nature 465, 901 (2010)ADSCrossRefGoogle Scholar
  23. 23.
    I. Dzyaloshinskii, J. Phys. Chem. Solids 4, 241 (1958)ADSCrossRefGoogle Scholar
  24. 24.
    T. Moriya, Phys. Rev. 120, 91 (1960)ADSCrossRefGoogle Scholar
  25. 25.
    Y. Ishikawa, K. Tajima, D. Bloch, M. Roth, Solid State Commun. 19, 525 (1976)ADSCrossRefGoogle Scholar
  26. 26.
    J. Beille, J. Voiron, M. Roth, Solid State Commun. 47, 399 (1983)ADSCrossRefGoogle Scholar
  27. 27.
    B. Lebech, J. Bernhard, T. Freltoft, J. Phys. Condens. Matter 1, 6105 (1989)ADSCrossRefGoogle Scholar
  28. 28.
    B. Lebech, P. Harrisa, J. Skov Pedersena, K. Mortensena, C.I. Gregoryb, N.R. Bernhoeftc, M. Jermyd, S.A. Browne, J. Magn. Magn. Mater. 140–144, 119 (1995)CrossRefGoogle Scholar
  29. 29.
    Y.S. Lin, J. Grundy, E.A. Giess, Phys. Lett. 23, 485 (1973)Google Scholar
  30. 30.
    A.P. Malozemoff, J.C. Slonczewski, Magnetic Domain Walls in Bubble Materials (Academic, New York, 1979), pp. 306–314Google Scholar
  31. 31.
    T. Garel, S. Doniach, Phys. Rev. B 26, 325 (1982)ADSCrossRefGoogle Scholar
  32. 32.
    T. Suzuki, J. Magn. Magn. Mater. 31–34, 1009 (1983)Google Scholar
  33. 33.
    T. Okubo, S. Chung, H. Kawamura, Phys. Rev. Lett. 108, 017206 (2012)ADSCrossRefGoogle Scholar
  34. 34.
    P. Bak, M.H. Jensen, J. Phys. C 13, L881 (1980)ADSCrossRefGoogle Scholar
  35. 35.
    S. Mühlbauer, B. Binz, F. Jonietz, C. Pfleiderer, A. Rosch, A. Neubauer, R. Georgii, P. Böni, Science 323, 915 (2009)ADSCrossRefGoogle Scholar
  36. 36.
    S.D. Yi, S. Onoda, N. Nagaosa, J.H. Han, Phys. Rev. B 80, 054416 (2009)ADSCrossRefGoogle Scholar
  37. 37.
    M. Mochizuki, Phys. Rev. Lett. 108, 017601 (2012)ADSCrossRefGoogle Scholar
  38. 38.
    S. Buhrandt, L. Fritz, Phys. Rev. B 88, 195137 (2013)ADSCrossRefGoogle Scholar
  39. 39.
    A. Tonomura X.Z. Yu, K. Yanagisawa, T. Matsuda, Y. Onose, N. Kanazawa, H.S. Park, Y. Tokura, Nano Lett. 12, 1673 (2012)ADSCrossRefGoogle Scholar
  40. 40.
    S. Seki, X.Z. Yu, S. Ishiwata, Y. Tokura, Science 336, 198 (2012)ADSCrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Shinichiro Seki
    • 1
  • Masahito Mochizuki
    • 2
  1. 1.Center for EmergentMatter Science (CEMS)RIKENWakoJapan
  2. 2.Department of Physics and MathematicsAoyama Gakuin UniversitySagamiharaJapan

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