A current perpendicular to plane (CPP) having hard magnetic bias layers located at the back of the sensor, opposite the air bearing surface. The bias layer is magnetostatically coupled with the free layer to bias the free layer in a desired direction parallel with the ABS. First and second magnetic shield layers may be provided at either lateral side of the sensor to provide exceptional track width definition. The placement of the bias layer at the back of the sensor makes possible the addition of magnetic shields at the sides of the sensor.