Az. Maksymowicz et al., MAGNETIC-RESONANCE IN COUPLED DOUBLE FILMS SEPARATED BY NONMAGNETIC INTERLAYER, Journal of magnetism and magnetic materials, 127(1-2), 1993, pp. 219-223
Spin wave resonance (SWR) at 16 GHz in the perpendicular configuration
is studied in double NiFe films separated by Cu interlayer. The influ
ence of Cu thickness d in the range of 0.5-2.7 nm on the mode splittin
g is discussed. A theoretical model is proposed, that includes both th
e 'bulk' coupling between the magnetizations M1 and M2 with the energy
density E = -KM.M2 and the interface coupling described by E = A12(m1
-m2)2, where m and m2 are the microwave magnetizations. It is shown th
at the model with two coupling constants K = K0 e(-d/q) and A12 = A0 e
(-d/t), where q = 2.5 nm, t = 0.25 nm, K0 = 132 erg/cm2, A0 = 10 erg/c
m2 agrees quite well with the experimental data. The existence of two
different damping constants q and t indicates that at least two mechan
isms are responsible for the interaction between magnetic layers: long
range interactions acting across the nonmagnetic interlayer, e.g. str
ess-induced anisotropy and direct short range exchange.