A method and system provide a magnetic transducer having an air-bearing surface (ABS). The magnetic transducer includes a first shield, a read sensor, at least one soft magnetic bias structure and at least one hard bias structure. The read sensor includes a sensor layer that has at least one edge in the track width direction along the ABS. The soft magnetic bias structure(s) are adjacent to the edge(s) of the sensor layer. The soft magnetic bias structure has a first permeability. The soft bias structure(s) are between the read sensor and the hard bias structure(s). The hard bias structure(s) are adjacent to a portion of the soft bias structure(s) and have a second permeability. The first permeability is at least ten multiplied by the second permeability.