A Microscopic Description of Spin Dynamics in Magnetic Multilayer Nanostructures

  • A. M. Korostil
  • M. M. Krupa
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 221)


Formation of the spin torque on the magnetization and the magnetization dynamics in multilayer magnetic nanostructures with metal nonmagnetic spacers have been studied. In a microscopic approach with spinor wave functions, the expansion of spin-polarized itinerant electrons across the system with spin-dependent interface scattering is considered for different conductance regimes of the spacer. Basing on the s-d exchange model of ferromagnetism, the out-of-equilibrium spin dynamics in the magnetic multilayer nanostructures is studied. Accounting for the exchange processes between the itinerant s and the localized d electrons, it is shown the key role of electron-magnon spin-flop scattering in the ultrafast magnetization dynamics. According to the accepted description of relaxation in ferromagnetic metals, the dissipation with loss of energy and angular momentum from localized d electrons is mediated by the exchange interaction to the itinerant s electrons.


Magnetic nanostructures Spin dynamics Interface scattering Spin torque Electron-magnon scattering 


  1. 1.
    Akerman J (2005) Toward a universal memory. Sciences 308:508CrossRefGoogle Scholar
  2. 2.
    Berge L (1996) Emission of spin waves by magnetic multilayer transverse by current. Phys Rev B 54:9353ADSCrossRefGoogle Scholar
  3. 3.
    Slonczewski JC (1996) Current-driven excitation of magnetic multilayers. J Magn Magn Mater 159:L7CrossRefGoogle Scholar
  4. 4.
    Tsoi M, Jznsen AGM, Bass J, Chiang WC, Seck MV, Wider P (1998) Excitation of magnetic multilayer by an electric current. Phys Rev Lett 80:4281ADSCrossRefGoogle Scholar
  5. 5.
    Sun Z (1999) Current-driven magnetic switching in manganite trilayer junctions. J Magn Magn Mater 202:157ADSCrossRefGoogle Scholar
  6. 6.
    Myer EB, Ralph DC, Katine JA, Louie RN, Buhrman RA (1999) Current-induced switching of domains in magnetic multilayer devices. Science 285:867CrossRefGoogle Scholar
  7. 7.
    Katine JA, Albert FJ, Buhrman RA, Muers EB, Ralph DC (2000) Current-driven magnetization reversal and spin-wave excitations in Co/Cu pillars. Phys Rev Lett 84:3148ADSCrossRefGoogle Scholar
  8. 8.
    Valet T, Fert A (1993) Theory of perpendicular magnetoresistance in magnetic multilayers. Phys Rev B 48:7099ADSCrossRefGoogle Scholar
  9. 9.
    Camblong HE, Levy PM, Zhang S (1995) Electron transport in magnetic in homogeneous media. Phys Rev B 48:7099Google Scholar
  10. 10.
    Stiles MD (1996) Oscillatory exchange coupling in Fe/Cr multilayers. Phys Rev B 54:14679ADSCrossRefGoogle Scholar
  11. 11.
    Schep KM, van Hoof HBAN, Kelly PJ, Bauer GEW, Inglesfield JE (1997) Interface resistances of magnetic multilayers. Phys Rev B 56:10805ADSCrossRefGoogle Scholar
  12. 12.
    Brataas A, Nazarov YV, Bauer GEW (2000) Finite-element theory of transport in ferromagnet-normal metal systems. Phys Rev Lett 84:2481ADSCrossRefGoogle Scholar
  13. 13.
    Waintal X, Myers EB, Brouwer PW, Ralph DC (2000) Role of spin-dependent interface scattering in generating current-induced torque in magnetic multilayers. Phys Rev B 62:12317ADSCrossRefGoogle Scholar
  14. 14.
    Choi GM, Min BC, Lee KL, Cahill DG (2014) Spin current generated by thermally driven ultrafast demagnetization. Nat Commun 5:4334ADSCrossRefGoogle Scholar
  15. 15.
    Kirilyuk A, Kimel AV, Rasing T (2010) Laser-induced magnetisation dynamics and reversal in ferrimagnetic alloys. Rev Mod Phys 82:2731ADSCrossRefGoogle Scholar
  16. 16.
    Kirilyuk A, Kimel AV, Rasing T (2010) Laser-induced magnetisation dynamics and reversal in ferrimagnetic alloys. Rep Prog Phys 76:026501ADSCrossRefGoogle Scholar
  17. 17.
    Lifshitz EM, Pitaevskii LP (1980) Cours of theoretical physics. Part 2, vol 9, 3rd edn. Pergamon, OxfordGoogle Scholar
  18. 18.
    Xiao J, Bauer GEW, Uchida KC, Maekawa S (2010) Theory of magnon-driven spin Seebeck effect. Phys Rev B 81:214418ADSCrossRefGoogle Scholar
  19. 19.
    Bauer GEW, Saitoh E, van Wees BJ (2012) Spincaloritronics. Nat Mater 11:391ADSCrossRefGoogle Scholar
  20. 20.
    Koopmans B, Ruigrok JJM, Dalla F, Jonge WJM (2005) Ultrafying ultrafast magnetization dynamics. Phys Rev Lett 95:267207ADSCrossRefGoogle Scholar
  21. 21.
    Walowski J, Műller G, Djordjevic M, Műnzerberg M, Klaui M, Vaz CAF, Bland JAC (2008) Energy equilibrium processes of electrons, magnons, and phonons at the femtosecond time scale. Phys Rev Lett 101:237401ADSCrossRefGoogle Scholar
  22. 22.
    Brataas A, Kent AD, Ohno H (2012) Current-induced torque in magnetic materials. Nat Mater 11:372ADSCrossRefGoogle Scholar
  23. 23.
    Tveten EG, Brataas A (2015) Electron-magnon scattering in magnetic heterostructures far out of equilibrium. Phys Rev B 92:180412ADSCrossRefGoogle Scholar
  24. 24.
    Berger L (1984) Exchange interaction between ferromagnetic domain wall and electric current in very thin metallic films. J Appl Phys 55:1954ADSCrossRefGoogle Scholar
  25. 25.
    Beenakker CWJ (1997) Random-matrix theory of quantum transport. Rev Mod Phys 69:731ADSCrossRefGoogle Scholar
  26. 26.
    Hathaway KB, Cullen JR (1992) A free electron model for the exchange coupling of ferromagnets through paramagnetic metals. J Magn Magn Mater 104:1840ADSCrossRefGoogle Scholar
  27. 27.
    Slonzhewski JC (1993) Mechanism of interlayer exchange in magnetic multilayers. J Magn Magn Mater 126:374ADSCrossRefGoogle Scholar
  28. 28.
    Bruno P (1995) Theory of interlayer magnetic coupling. Phys Rev B 52:411ADSCrossRefGoogle Scholar
  29. 29.
    Edwards DM, Frederici F, Mathon J, Umerski A (2005) self-consistent theory of current-induced switching of magnetization. Phys Rev B 71:05440CrossRefGoogle Scholar
  30. 30.
    Brataas A, Nazarov YV, Gerrit EW (2001) Spin-transport in multi-terminal normal metal-ferromagnet systems with non-collinear magnetization. Eur Phys J B 22:99ADSCrossRefGoogle Scholar
  31. 31.
    Brouer PW, Beenakker CWJ (1996) Diagram method of integration over the unitary group with application to quantum transport in mesoscopic systems. J Math Phys 37:4904ADSMathSciNetCrossRefGoogle Scholar
  32. 32.
    Slonzhewski JC (1993) Excitation of spin wave by electric current. J Magn Magn Mater 195:L261CrossRefGoogle Scholar
  33. 33.
    Beaurepaire JC, Merle JC, Daunois A, Bigot JY (1996) Ultrafast spin dynamics in ferromagnetic nickel. Phys Rev Lett 76:4250ADSCrossRefGoogle Scholar
  34. 34.
    Bsgot JY, Vomir M, Beaurepaire JC (2009) Coherent ultrafast magnetism induced by femtosecond laser pulses. Nat Phys 5:515CrossRefGoogle Scholar
  35. 35.
    Schellekens AJ, Koopmans B (2013) Microscopic model for ultrafast magnetization dynamics of multisublattice magnets. Phys Rev B 87:020407ADSCrossRefGoogle Scholar
  36. 36.
    Eshenlohr A, Battitato M, Maldonado P, Pontius N, Kachel T, HolldackK MR, Fönlisch A, Oppeneer PM, Stamm C (2013) Ultrafast spin transport as key to femtosecond demagnetization. Nat Mater 12:332ADSCrossRefGoogle Scholar
  37. 37.
    Illg C, Haag M, Fähnle M (2013) Ultrafast demagnetization after laser irradiation in transition metals: Ab initio calculation of the spin-flip electron-phonon scattering with reduced exchange splitting. Phys Rev B 88:214404ADSCrossRefGoogle Scholar
  38. 38.
    Zhang Y, Chuang TH, Zakeri K, Kirschner J (2012) Relaxation time of terahertz magnons excitated at ferromagnetic surfaces. Phys Rev Lett 109:087203ADSCrossRefGoogle Scholar
  39. 39.
    Tserkovnyak Y, Brataas vA, Bauer GEW, Halperin BI (2005) Nonlocal magnetization dynamics in ferromagnetic heterostructures. Rev Mod Phys 77:1375ADSCrossRefGoogle Scholar
  40. 40.
    Bender SA, Tserkovnyak Y (2015) Interfacial spin and heat transfer between metals and magnetic insulator, vol 91, p 140402Google Scholar
  41. 41.
    Jauho AP, Wingreen NS, Meir Y (1994) Time-dependent transport in interacting and noninteracting resonant-tunneling systems. Phys Rev B 50:55285544CrossRefGoogle Scholar
  42. 42.
    Mueller BY, Baral A, Vollar S, Cinchetti M, Aeschlimann M, Schneider HS, Rethfeld B (2013) Feedback effect during ultrafast demagnetization dynamics in ferromagnets. Phys Rev Lett 111:167204ADSCrossRefGoogle Scholar
  43. 43.
    Barker J, Atxitia U, Ostler TA, Hovorka O, Chubykalo-Fesenko O, Chantrell W (2013) Two-magnon bond state causes ultrafast thermally induced magnetization switching. Sci Rep 3:3262ADSCrossRefGoogle Scholar
  44. 44.
    Tserkovnyak Y, Hankiewicz EM, Vignale G (2009) Transverse spin diffusion in ferromagnets. Phys Rev B 79:094415ADSCrossRefGoogle Scholar
  45. 45.
    Messervey R, Tedrow PM (1994) Spin-polarized electron tunneling. Phys Rep 238:473CrossRefGoogle Scholar
  46. 46.
    Atxitia U, Chubykalo-Fesenko O, Walowski J, Mann A, Műnzerberg M (2010) Evidence for thermal mechanism in laser-induced femtosecond spin dynamics. Phys Rev B 81:147401CrossRefGoogle Scholar
  47. 47.
    Weber A, Pressacco F, Gűnter S, Mancini E, Oppeneer PM, Back CH (2011) Ultrafast demagnetization dynamics of thin Fe/W(110) films: comparison of time- and spin-resolved photoemission with time-resolved magneto-optic experiments. Phys Rev 84:132412CrossRefGoogle Scholar
  48. 48.
    Liu Y, Wesselink RJH, Starikov AA, Kelly PJ (2014) Interface enhancement of Gilbert damping from first principles. Phys Rev Lett 113:207202ADSCrossRefGoogle Scholar
  49. 49.
    Hoffman S, Sato K, Tserkovnyak Y (2013) Landau-Lifshitz theory of the longitudinal spin Seebeck effect. Phys Rev B 88:064408ADSCrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • A. M. Korostil
    • 1
  • M. M. Krupa
    • 1
  1. 1.Institute of Magnetism of NAS of Ukraine and MES of UkraineKyivUkraine

Personalised recommendations