A Lorenz magnetoresistive sensor having a pair of voltage leads and a pair of current leads. The voltage leads are located at either side of one of the current leads and are separated by a distance that is substantially equal to the length of a bit to be measured. The Lorenz magnetoresistive sensor can be, for example an extraordinary magnetoresistive sensor having a quantum well structure such as a two dimensional electron gas and a shunt structure formed on an edge of the quantum well structure opposite the voltage and current leads.

 
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