Jf. Cochran, MAGNETIZATION REVERSAL IN A THIN FERROMAGNETIC FILM WEAKLY EXCHANGE-COUPLED TO A BULK FERROMAGNET, Journal of magnetism and magnetic materials, 147(1-2), 1995, pp. 101-114
The static magnetization distribution in a thin film and in a bulk mag
net has been calculated using a simplified model in which the ferromag
netic thin film is coupled to the bulk magnet through a contact exchan
ge interaction. The lowest lying frequencies of oscillation of the mag
netization around this equilibrium configuration have also been calcul
ated. It has been shown that for weak antiferromagnetic coupling, and
assuming that the system adopts a configuration corresponding to a sta
te of lowest free energy, there exists a range of applied magnetic fie
ld strengths for which the magnetization orientation in the thin film
deviates from the applied field direction. In the state characterized
by this non-parallel thin film magnetization, the magnetization orient
ations both in the thin film and in the bulk magnet become position de
pendent. For a 20 monolayer iron Nm the twist in magnetization orienta
tion is similar to 1-3 degrees for exchange coupling strengths ranging
from 0.5-1.5 erg/cm(2). The magnetization in the bulk is twisted a fe
w degrees from the applied field direction at the bulk surface, and th
e angle through which the magnetization is turned decays towards zero
for distances progressively deeper into the bulk magnet. The decay len
gth is similar to 100 Angstrom for iron. Calculated magnetic field dep
endencies for the thin film frequency are found to be in reasonable ag
reement with data reported for 20 ML Fe(001) films exchange coupled th
rough Cr(001) to a Fe(001) whisker.