Perpendicular recording magnetic head with a write shield magnetically coupled to a first pole piece

A magnetic head assembly that has a head surface, a read head and a perpendicular recording write head, comprising:

• the read head including:
• ferromagnetic first and second shield layers;
• and
• a read sensor located between the first and second shield layers;
• the perpendicular recording write head including:
• ferromagnetic first and second pole pieces wherein the first pole piece layer is a common layer with the second shield layer;
• a back gap which is recessed from the head surface;
• the first and second pole pieces being connected at said back gap;
• an insulation stack with a write coil layer embedded therein located between the first and second pole pieces and located between the head surface and said back gap;
• the second pole piece having a pole tip which is located at the head surface;
• a ferromagnetic write shield layer;
• a nonmagnetic isolation layer located between the second pole piece and the write shield layer;
• at least one ferromagnetic stud magnetically connecting the first pole piece layer and the write shield layer;
• and
• said at least one ferromagnetic stud being located between the head surface and said insulation stack.