The behavior of magnetic systems with dilution

The Bethe-Peierls-Weiss method is generalized so that it is applicable to alloys and solid solutions. The method is then used to study the effects of magnetic dilution on a classical Heisenberg ferromagnet with nearest-neighbor interactions only. The results are qualitatively and quantitatively similar to those obtained by Sato, et al. using an Ising model. In particular, the limiting concentration for ferromagnetism is found to be P0 = (z-1)-1 where z is the number of nearest neighbors. © 1959.