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Volumn 48, Issue 12, 1993, Pages 8607-8618

Theory for the nonlinear magneto-optical Kerr effect at ferromagnetic transition-metal surfaces

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EID: 0001660632     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.48.8607     Document Type: Article
Times cited : (47)

References (38)
  • 17
    • 84931547387 scopus 로고    scopus 로고
    • H. Ebert, Habilitations thesis, University of Munich, 1990.
  • 24
    • 84931547388 scopus 로고    scopus 로고
    • Using angle resolved photoemission spectroscopy Eastman, Himpsel, and Knapp (Ref. onlineciteEast) measured the exchange splittings and the d band widths of transition metals. They found for Fe an exchange splitting of 1.5 eV at the P4 point (s d hybridized). To obtain the same exchange splitting at this point we need an exchange coupling constant J for the pure d bands of 1.78 eV.
  • 29
    • 84931547389 scopus 로고    scopus 로고
    • Note, iron lacks the strong effects due to many body excitations very close to the Fermi level present in nickel and which give an additional sign change in the experimental MOKE spectrum of nickel for frequencies below 0.5 eV (Refs. onlineciteKrin and onlineciteErsk).
  • 30
    • 84931547390 scopus 로고    scopus 로고
    • Although the experiment of Krinchik (Ref. onlineciteKrin) covers a large range of frequency, the position of the first peak seems to be at too low frequencies. However, regarding the ratio of peak heights we find good agreement with the experiment by Krinchik.
  • 33
    • 84931547408 scopus 로고    scopus 로고
    • A more careful consideration should include the ω dependence. Obviously, for determining ( frac χmag(2){χnonmag(2))Fe exactly, one must calculate χzzz(2) for Fe (Ref. onlineciteNote) and include the detailed geometry of the experiment as well as the ellipticities of (i) the nonlinear Kerr effect, (ii) second harmonic generation, and (iii) the polarizer in the reflected frequency doubled beam.
  • 34
    • 84931547407 scopus 로고    scopus 로고
    • Note, χzzz(2) is also needed for calculating the Kerr angle referring to the polarization of the second harmonic: ΦK(SHG) approx χxzz(2)/ χzzz(2). Regarding ΦK(SHG), we expect from our theory particularly interesting results if large λ s.o. and magnetic moments are present. For example, this may be the case for Heusler alloys.
  • 36
    • 84931547406 scopus 로고    scopus 로고
    • Reif et al. also point out that in agreement with our theory the nonlinear Kerr effect may be observed at coated magnetic surfaces and at film interfaces and is not restricted to remanence magnetization measurement.


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