The motivation for this work comes from a transport experiment performed on a four terminal mesoscopic Aharonov-Bohm interferometer [1]. In that experiment the conductance of the device was measured in two different configurations. In the first one, both the voltage terminals and the current terminals were placed across the interferometer. In the second, the voltage terminals were placed on one side of the interferometer, and the current terminals on the other. It was then found that the oscillation amplitude was much different between the two measuring configurations. Here we attempt to model this experiment, and to calculate the conductance of the Aharonov-Bohm ring as function of the magnetic flux, and the other parameters characterizing the Aharonov-Bohm interferometer.

[1] Kobayashi et al., J. Phys. Soc. Jpn. 71, L2904 (2002).