In one general embodiment, an apparatus includes an array of magnetic transducers each having: a current-perpendicular-to-plane sensor, shields for providing magnetic shielding, and a stabilizing layered structure between at least one of the shields and the sensor. The stabilizing layered structure includes an antiferromagnetic layer, a first ferromagnetic layer adjacent the antiferromagnetic layer, a second ferromagnetic layer, and an antiparallel coupling layer between the ferromagnetic layers. A magnetization direction in the second ferromagnetic layer is opposite the magnetization direction in the first ferromagnetic layer. Each transducer also includes an electrical lead layer positioned between the sensor and the stabilizing layered structure and in electrical communication with the sensor. Each transducer also includes a spacer layer between the respective electrical lead layer and the stabilizing layered structure. A conductivity of the electrical lead layer is higher than a conductivity of the spacer layer.