The spatial correlation between the directions of magnetization is calculated phenomenologically for an amorphous solid with a random distribution of easy axes. It is found that, for large exchange and small anisotropy, ferromagnetism can exist only in more than four dimensions. For all dimensions $d>\mathrm{}2\mathrm{}$, spin-glass states of different types are possible. The dependence of magnetic behavior on the intrinsic parameters of an amorphous solid is established.

• Received 20 May 1982

DOI:https://doi.org/10.1103/PhysRevB.26.2697