Magnetic Anisotropy

  • Hanmin Jin
  • Terunobu Miyazaki
Part of the Springer Series in Materials Science book series (SSMATERIALS, volume 158)


A crystal with a certain crystal structure is anisotropic. Therefore, the free energy of a magnetic crystal depends on the direction of the spontaneous magnetization vector \(\vec {M}_\mathrm{ s}\) with respect to the lattice axes. The anisotropy is called magnetocrystalline anisotropy. The magnetostatic energy of a non-spherical magnetic body also depends on the \(\vec {M}_\mathrm{ s} \) direction. The anisotropy is called Shape anisotropy. Additional magnetic anisotropy may be induced through some treatment in some magnetic media. Such anisotropy is called induced magnetic anisotropy. Magnetic atoms in amorphous alloys have magnetic anisotropies with randomly distibuted easy‐axis directions. Such anisotropy is called random anisotropy. This chapter introduces typical phenomena and basic theories of the anisotropies.


Magnetic Anisotropy Orbital Angular Momentum Anisotropy Energy Magnetocrystalline Anisotropy Film Plane 
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  1. 1.
    S. Sinnema, R. Verhoef, J.J.M. Franse, F.R. de Boer, in Proceedings of 5 \(^{th}\) International Symposium on Magnetic Anisotropy and Coercivity in Rare Earth-Transition Metal Alloys, Bad Soden, 1987, p. 223Google Scholar
  2. 2.
    M. Sagawa, S. Hirosawa, H. Yamamoto, S. Fujimura, Y. Matsuura, Jpn. J. Appl. Phys. 26, 785 (1987)ADSCrossRefGoogle Scholar
  3. 3.
    R.C. O’handley, Modern Magnetic Materials (Wiley, New York, 2000)Google Scholar
  4. 4.
    R. Bozorth, Ferromagnetism (Van Nostrand, New York, 1951); reprinted by IEEE Press, 1993Google Scholar
  5. 5.
    E.P. Wohlfarth, in Ferromagnetic Materials, vol. 1, ed. by E.P. Wohlfarth (North-Holland, Amsterdam, 1980)Google Scholar
  6. 6.
    R.S. Tebble, D.J. Craik, Magnetic Materials (Wiley-Interscience, New York, 1969)Google Scholar
  7. 7.
    A.J. Freeman, R. Wu, J. Magn. Magn. Mater. 100, 497 (1991)ADSCrossRefGoogle Scholar
  8. 8.
    M. Tachiki, Prog. Theor. Phys. 23, 1055 (1960)ADSCrossRefGoogle Scholar
  9. 9.
    T.S. Zhao, H.M. Jin, Y. Zhu, J. Magn. Magn. Mater. 79, 159 (1989)CrossRefGoogle Scholar
  10. 10.
    M.T. Hutchings, in Solid State Physics, vol. 16, ed. by F. Seitz, D. Tumbell (Academic Press, New York, 1964), p. 227Google Scholar
  11. 11.
    T.S. Zhao, H.M. Jin, Sol. State Commun. 64, 103 (1987)CrossRefGoogle Scholar
  12. 12.
    R. Ballou, J. Deportes, B. Gorges, R. Lamaire, J.C. Ousset, J. Magn. Magn. Mater. 54–57, 465 (1986)Google Scholar
  13. 13.
    D. Givord, J. Laforest, R. Lamaire, Q. Lu, J. Magn. Magn. Mater. 31–34, 191 (1983)Google Scholar
  14. 14.
    T.S. Zhao, H.M. Jin, G.H. Guo, X.F. Han, H. Chen, Phys. Rev. B 43, 8593 (1991)ADSCrossRefGoogle Scholar
  15. 15.
    T.S. Zhao, H.M. Jin, R. Grössinger, X.C. Kou, H.R. Kirchmayr, J. Appl. Phys. 70, 6134 (1991)ADSCrossRefGoogle Scholar
  16. 16.
    M. Takahashi, T.J. Kono, J. Phys. Soc. Jpn. 15, 936 (1960)ADSCrossRefGoogle Scholar
  17. 17.
    H.M. Jin, S. Kadowaki, M. Takahashi, J. Magn. Magn. Mater. 54–57(Part II), 917 (1986)Google Scholar
  18. 18.
    S. Chikazumi, T. Omura, J. Phys. Soc. Jpn. 10, 842 (1955)ADSCrossRefGoogle Scholar
  19. 19.
    S. Chikazumi, C.D. Graham, Physics of Ferromagnetism (Oxford Sciences, Oxford, 1997)Google Scholar
  20. 20.
    L. Néel, J. Phys. Radium 15, 225 (1954)Google Scholar
  21. 21.
    J.C. Slonczewski, in Magnetism, vol. 1, ed. by G.T. Rao, H. Suhl (Academic Press, New York, 1963)Google Scholar
  22. 22.
    M.S. Cohen, J. Appl. Phys. 32, 87S (1961)ADSCrossRefGoogle Scholar
  23. 23.
    H.M. Jin, C.O. Kim, T.D. Lee, H.J. Kim, Chin. Phys. 16, 3520 (2007)ADSCrossRefGoogle Scholar
  24. 24.
    J.J. de Jong, J.M.G. Smeets, H.B. Haanstra, J. Appl. Phys. 29, 297 (1958)ADSCrossRefGoogle Scholar
  25. 25.
    W.H. Meiklejohn, C.P. Bean, Phys. Rev. 105, 904 (1957)ADSCrossRefGoogle Scholar
  26. 26.
    J. Nogués, I.K. Schuller, J. Magn. Magn. Mater. 192, 203 (1999)ADSCrossRefGoogle Scholar
  27. 27.
    P. Chaudhari, J.J. Cuomo, R.J. Gambino, IBM J. Res. Dev. 17, 66 (1973)CrossRefGoogle Scholar
  28. 28.
    H.M. Jin, J. Magn. Magn. Mater. 35, 283 (1983)ADSCrossRefGoogle Scholar
  29. 29.
    H.M. Jin, I. Okamoto, M.Takahashi, Sci. Sinica A 29, 619 (1986)Google Scholar
  30. 30.
    R. Alben, J.J. Becker, M.C. Chi, J. Appl. Phys. 49, 1653 (1978)ADSCrossRefGoogle Scholar
  31. 31.
    G. Herzer, in Handbook of magnetic materials, vol. 10, ed. by K.H.J. Buschow (Elsevier Science, New York, 1997), p. 415Google Scholar

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© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of PhysicsJilin UniversityChangchunPeople’s Republic of China
  2. 2.Advanced Inst. Materials ResearchTohoku UniversitySendaiJapan

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