This magnetic device integrates a magneto-resistive stack, the stack comprising at least two layers made out of a ferromagnetic material, separated from each other by a layer of non-magnetic material; and means for causing an electron current to flow perpendicular to the plane of the layers, with at least one integrated nano-contact intended to inject the current into the magneto-resistive stack. The nano-contact is made in a bilayer composed of a solid electrolyte on which has been deposited a soluble electrode composed of a metal that has been at least partially dissolved in the electrolyte.