PERPENDICULAR ANISOTROPY DETECTED BY TRANSVERSELY BIASED INITIAL SUSCEPTIBILITY VIA THE MAGNETOOPTIC KERR-EFFECT IN FEXSI1-X THIN-FILMS ANDFEXSI1-X SI MULTILAYERS - THEORY AND EXPERIMENT/
Lm. Alvarezprado et al., PERPENDICULAR ANISOTROPY DETECTED BY TRANSVERSELY BIASED INITIAL SUSCEPTIBILITY VIA THE MAGNETOOPTIC KERR-EFFECT IN FEXSI1-X THIN-FILMS ANDFEXSI1-X SI MULTILAYERS - THEORY AND EXPERIMENT/, Physical review. B, Condensed matter, 56(6), 1997, pp. 3306-3316
We studied experimentally and theoretically the perpendicular anisotro
py and the stripe-domain structure in both FexSi1-x thin films and Fex
Si1-x/Si multilayers, the latter being in the low-modulation-length re
gime (0.4 nm<lambda<7 nm). The experimental study was made by means of
the transversely biased initial susceptibility chi(t beta) via the ma
gneto-optic Kerr effect. The samples under study were prepared by de t
riode sputtering at T-S = 300 K. It is found that the appearance of st
ripe domains is more pronounced for decreasing lambda as x remains con
stant and may be caused by both the increase in effective magnetic thi
ckness and the reduction in effective magnetization as lambda decrease
s. For multilayers with lambda = 0.4 nm, the observed field dependence
of chi(t beta)(-1) is similiar to that found in homogeneons thin film
s when weak stripe-domain structures arise as a consequence of the exi
stence of perpendicular anisotropy K-N. We propose a quasistatic one-d
imensional model to explain the behavior of chi(t beta)(-1) when strip
e domains are present, and we analyze the critical occurrence of strip
e domains. We calculated the so-called pseudo-uniaxial anisotropy fiel
d H-Ks, associated with the stripes, in two extreme cases: exchange-dr
iven susceptibility or magnetic free poles (nonzero divergence in the
bulk). The latter case agrees better with experiment. We found that pe
rpendicular anisotropy is nor exclusive of a well-defined multilayer s
tructure; i.e., K-N arises even when there are no interfaces in the vo
lume. By setting the experimental saturation field H-S (obtained by hy
steresis loops) into our model, we obtain both the perpendicular aniso
tropy constant K-N=10(4)-10(5) J/m(3) and the critical thickness t(c)
for the occurrence of a stripe-domain structure. Some possible sources
of perpendicular anisotropy are discussed, for example, the associate
d isotropic compressive stress sigma, whose contribution is found to b
e \K-N\(magnetoel)approximate to 1.5-4.5 x 10(4) J/m(3).