A manner for stabilizing the shield domain structure is described that employs the magnetic field of a hard bias layer. More particularly, it has been found that the shield domain structure is stabilized when the height of the hard bias layer in the depth direction is made substantially half the height of upper shield layer. In another embodiment of the invention, a stabilizing structure is provided at approximately the midpoint of the shield in order to fix the closure domain of the shield to the desired two-domain structure. In an embodiment of the invention, the stabilizing structure is made convex or concave as viewed from the air-bearing surface.