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Volumn 34, Issue 11, 1986, Pages 7788-7801

Ferromagnetic resonance in a system composed of a ferromagnetic substrate and an exchange-coupled thin ferromagnetic overlayer

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EID: 0000961941     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.34.7788     Document Type: Article
Times cited : (57)

References (44)
  • 18
    • 84926269518 scopus 로고
    • B. Heinrich, A. S. Arrott, J. F. Cochran, C. Liu, and K. Myrtle, Proceedings of the 32nd National Vacuum Symposium of the American Vacuum Society, 1985, Houston, Texas
    • (1986) J. Vac. Sci. Technol. A , vol.4 , pp. 1376
  • 23
    • 36149012617 scopus 로고
    • . For a specific application of the Ament-Rado formalism to multilayer problems see: (a), 15, 5141, G. Spronken, A. Friedmann, A. Yelon, Phys. Rev. B
    • (1955) Phys. Rev. , vol.97 , pp. 1558
    • Ament, W.S.1    Rado, G.T.2
  • 42
    • 84926267748 scopus 로고    scopus 로고
    • The effect of a strain, e, homogeneous in the plane, but one which assumes a contraction normal to the plane in order to preserve volume, can be estimated using the magnetoelastic interaction energy described by Chikazumi (Ref. 26). For the case of a cubic metal having its cube axes parallel with the coordinate axes, and having the equilibrium magnetization along the x direction, this energy has the form E=E0 -3B1 e α32. This energy density produces an effective torque per unit area given by -6B1 e^d α3. According to Eq. (8) this torque would be produced by an effective pinning anisotropy Kz =-3B1 ed. For nickel B1 =6.2 times 107 erg/cm3_, so that for e=10-2 and d=50 Å, one would obtain Kz =-0.93 erg/cm2_. The negative sign means that the effective surface torque produced by an expansion of the lattice in the plane of the film would act so as to drive the magnetization out of the surface plane.
  • 43
    • 84926265342 scopus 로고    scopus 로고
    • In calculating the nickel resonance field from Eq. (27), it must be remembered that a bulk magnetocrystalline anisotropy has been assumed which shifts the resonance by 2K1 /MA =-1.637 kOe.


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