Abstract: Systems and methods that serve to limit the generation of stray magnetic fields by moving domain walls of magnetic shields of a magnetic head that would otherwise be received and interpreted as noise at the read sensor of the magnetic head. The utilities disclose use of first and second magnetic “closure” layers (e.g., soft magnetic layers) disposed about but spaced (i.e., magnetically isolated) from the first and second magnetic shields of the read portion of a magnetic head by first and second respective “closure” gaps (e.g., provided by any appropriate non-magnetic, high magnetic permeability material(s)). The closure layers create a magnetic environment for the shield edges that more closely resembles the interior of the shield, thereby minimizing or at least reducing the number of unstable edge domains and limiting subsequent domain wall movement.