Goldstone-mode induced susceptibility-singularity extending toT c of the Heisenberg ferromagnet EuS

At internal magnetic fields much smaller than the spontaneous magnetizationM _s (T) but large compared to the weak anisotropy field,H _A 20 Oe, the internal susceptibility measured parallel toM by NMR and low frequency ac-susceptibility is observed to diverge asH ^–1/2 for temperatures up to 0.998T _c . Numerous theoretical work predicted suchH ^–1/2-singularity to arise from massless Goldstone-modes associated with the perpendicular susceptibility of a Heisenberg system. The temperature variation of the amplitude, _z ·H ^–1/2, agrees with the results of the spin-wave and more general hydrodynamic theories, while the magnitude reveals the suppression of one Goldstone polarization by the dipoledipole interaction. In contrast to a previous renormalization-group estimate, a crossover to thermal critical behavior nearT _c is not observed.