Model Calculation of the Giant Magnetoresistance in Multilayers with an Arbitrary Number of Layers

  • M. Ye. Zhuravlev
  • W. Schepper
  • S. Heitmann
  • H. O. Lutz
  • A. V. Vedyayev
  • G. Reiss
  • A. Hütten
Part of the Lecture Notes in Physics book series (LNP, volume 593)


We present a quantum statistical treatment of the Giant Magnetoresistance (GMR) in multilayers with an arbitrary number of layers and arbitrary angles between the magnetization vectors in the magnetic layers. The intrinsic potential and the exchange splitting of the conducting electron band is taken into account. The developed approach was successfully applied to the description of the GMR in combination multilayers.


Green Function Magnetization Vector Magnetic Layer Ferromagnetic Layer Giant Magnetoresistance 
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  1. 1.
    Special issue of J. of Magn. Magn. Mater. 200, No. 1–3 (1999)Google Scholar
  2. 2.
    W.-C. Chiang, Q. Yang, W. P. Pratt Jr., R. Loloee, J. Bass, J. Appl. Phys. 81, 4570 (1997)CrossRefADSGoogle Scholar
  3. 3.
    S. Heitmann, A. Hütten, T. Hempel, W. Schepper, G. Reiss, J. Appl. Phys. 87, 4849 (2000)CrossRefADSGoogle Scholar
  4. 4.
    S. Heitmann, A. Hütten, T. Hempel, W. Schepper, G. Reiss, J. Magn. Magn. Mater. 226–230, 1752 (2001)CrossRefGoogle Scholar
  5. 5.
    B. Yu. Yavorsky, I. Mertig, A. Ya. Perlov, A. N. Yaresko, V. N. Antonov, Phys. Rev. B 62, 9586 (2000)CrossRefADSGoogle Scholar
  6. 6.
    P. M. Levy, S. Zhang and A. Fert, Phys. Rev. Lett. 65, 1643 (1990); H. E. Camblong, P. M. Levy and S. Zhang, Phys. Rev. B 51, 16052 (1995)CrossRefADSGoogle Scholar
  7. 7.
    P. M. Levy, H. E. Camblong, and S. Zhang, J. Appl. Phys., 75, 7076 (1994)CrossRefADSGoogle Scholar
  8. 8.
    A. Vedyayev, B. Dieny, N. Ryzhanova, Europhys. Lett. 19, 329 (1992); A. Vedyayev, C. Cowache, N. Ryzhanova and B. Dieny, J. Phys.: Condens. Matter 5, 8289 (1993)CrossRefADSGoogle Scholar
  9. 9.
    M. B. Stearns, J. of Magn. Magn. Mater. 5, 167 (1977)CrossRefADSGoogle Scholar
  10. 10.
    R. Perez-Alvarez, F. Garcia-Moliner, V. R. Velasco, J. Phys.: Condens. Matter 7, 2037 (1995)CrossRefADSGoogle Scholar
  11. 11.
    F. Brouers, A. Vedyayev, M. Giorgino, Phys. Pev. B 7, 380 (1973)ADSGoogle Scholar
  12. 12.
    A. Vedyayev, B. Dieny, N. Ryzhanova, J. B. Genin, C. Cowache, Europhys. Lett. 25, 465 (1994)CrossRefADSGoogle Scholar
  13. 13.
    A. Vedyayev, N. Ryzhanova, B. Dieny, P. Dauguet, P. Gandit, J. Chaussy, Phys. Pev. B 55, 3728 (1997)ADSGoogle Scholar
  14. 14.
    E.A. Coddington, N. Levinson: Theory of ordinary differential equations, (McGraw-Hill Book Company, New York-London-Toroanto 1955).zbMATHGoogle Scholar
  15. 15.
    E.C. Stoner, E.P. Wohlfarth, Phil. Trans. Roy. Soc. A240, 599 (1948)CrossRefADSGoogle Scholar
  16. 16.
    W. Schepper, A. Hütten, G. Reiss, J. Appl. Phys. 88, 993 (2000)CrossRefADSGoogle Scholar
  17. 17.
    H. Holloway, D.J. Kubinski, J. Appl. Phys., 83, 2705 (1998)CrossRefADSGoogle Scholar
  18. 18.
    D. Bozec, M. J. Walker, B. J. Hickey, M. A. Howson, N. Wiser, Phys. Rev. B 60 3037 (1999)CrossRefADSGoogle Scholar
  19. 19.
    S. Sanvito, C. J. Lambert, J. H. Jefferson, Phys. Rev. B 61, 14225 (2000)CrossRefADSGoogle Scholar
  20. 20.
    M. Ye. Zhuravlev, H. O. Lutz, A. V. Vedyayev, Phys. Rev. B 63, 174409 (2001)CrossRefADSGoogle Scholar
  21. 21.
    M. Ye. Zhuravlev, H. O. Lutz, A. V. Vedyayev, J. Phys. A 34, 8383 (2001)zbMATHCrossRefADSMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • M. Ye. Zhuravlev
    • 1
    • 2
  • W. Schepper
    • 1
  • S. Heitmann
    • 1
  • H. O. Lutz
    • 1
  • A. V. Vedyayev
    • 3
    • 4
  • G. Reiss
    • 1
  • A. Hütten
    • 1
  1. 1.Fakultät für PhysikUniversität BielefeldBielefeldGermany
  2. 2.Institute of General and Inorganic ChemistryRASMoscowRussia
  3. 3.CEA/Département de Recherche Fondamentale sur la Matiére CondenséeSP2M/NMGrenobleFrance
  4. 4.Physical Department of Moscow State UniversityMoscowRussia

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