Landau diamagnetism and magnetization of interacting disordered conductors

We show how the orbital magnetization of an interacting diffusive electron gas can be simply related to the magnetization of the noninteracting system having the same geometry. This result is applied to the persistent current of a mesoscopic ring and to the relation between Landau diamagnetism and t he interaction correction to the magnetization of diffusive systems. The fi eld dependence of this interaction contribution can be deduced directly fro m the de Haas-van Alphen oscillations of the free electron gas. Known resul ts for the free orbital magnetism of finite systems can be used to derive t he interaction contribution in the diffusive regime in various geometries.