An algorithm is developed for the calculation of the density of states for an arbitrary ferromagnetic insulating alloy. The procedure is based upon enumerating the number of negative eigenvalues associated with a large matrix. While the theory is developed to treat any number of magnetic components in an arbitrary lattice, numerical results are presented for a binary alloy of the simple cubic type. The spectra are related to previously calculated isolated local magnetic excitations, and the effect of such spectra on the magnetization and specific heat is indicated.

• Received 28 July 1969

DOI:https://doi.org/10.1103/PhysRev.188.870