Susceptibility and correlation functions in amorphous magnets

We calculate the site-dependent susceptibility and the neutron scattering form factor SQ of the random-anisotropy model (RAM) in site-dependent mean-field theory with an additional Lagrange parameter. We obtain for SQ a Lorentzian and a Lorentzian-squared term. The latter vanishes above the characteristic temperature Tc in zero field but persists at low temperature for all fields. The susceptibility remains finite at all temperatures. The spin-correlation length becomes temperature independent below Tc (apart from the temperature dependence of the exchange and anisotropy constants) but depends strongly on an applied field and on additional coherent uniaxial anisotropy. The saturation magnetization decreases in high fields as h^-2.