Hall effect under null current conditions

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Abstract
In a double boundary geometry, it is shown that dual independent Hall effects may be realized simultaneously by injecting two currents into the device, and the Hall effect on each boundary reflects only the current injected via the same boundary. A study of the magnetoresistance shows, however, that branch dissipation may be reduced through the optimal orientation of the injected currents. The results help clarify the signature edge currents in experiment by demonstrating that a Hall effect may be generated under null (net) current conditions.