R. Dombrowski et al., SCALING BEHAVIOR OF THE HOMOGENEOUS MAGNETIZATION DYNAMICS IN THE FERROMAGNETIC STATE OF EUS, Journal of applied physics, 75(10), 1994, pp. 6054-6056
Using a broadband vectorial microwave reflectometer, we measured the l
ongitudinal dynamic susceptibility of a EuS sphere between 0.1 and 20
GHz in the temperature interval 4.2 K less-than-or-equal-to T less-tha
n-or-equal-to T(c)=16.5 K. For low internal fields, the shape correspo
nds to a heavily overdamped Lorentzian resonance, chi(z)-1 (omega) = c
hi(z)-1(0)iomega/L(z) -(omega/OMEGA(z))2 where L(z) less-than-or-equal
-to OMEGA(z). The field and temperature dependence of the intrinsic ki
netic coefficient and resonance is fully explained by that of the stat
ic susceptibility chi(z)(0). Surprisingly, the resulting scaling funct
ion, L(z)[chi(z)(0)], agrees exactly with that observed earlier above
T(c), where L(z)[chi(z)(0)] could quantitatively be explained by a cro
ssover from a van Hove behavior for large chi(z)(0), due to dipolar an
isotropic fluctuations, to a critical speeding-up for chi(z)(0)<1, whe
re isotropic spin diffusion prevails. This finding suggests that the d
ipolar anisotropy dominates the magnetization dynamics also below T, o
f EuS, which seems to be supported by the fact that the correlation fr
equency of the torques acting on the magnetization, omega(c) = OMEGA(z
)2/L(z), agrees with the relaxation rate of the longitudinal magnetiza
tion fluctuations, deltaM(q) parallel-to q.