On the theory of off-diagonal randomness in substitutional alloys

Abstract

The physical nature of an approximate model used by Shiba to treat the off-diagonal randomness in substitutional alloys is discussed. It is shown that, provided some approximations are performed in the starting Hamiltonian, the single-site multiple-scattering theory yields also Shiba's locator self-consistent equation. In that model, our method gives new informations since we can derive explicitly the total density of states as well as the effective atomic potential and effective band width.