Flux-dependent Kondo temperature in an Aharonov-Bohm interferometer with an in-line quantum dot

An Aharonov-Bohm interferometer (ABI) carrying a quantum dot on one of its arms is analyzed. It is found that the Kondo temperature of the device depends strongly on the magnetic flux penetrating the ring. As a result, mesoscopic finite-size effects appear when the Kondo temperature of the dot on the ABI is significantly smaller than the nominal one of the quantum dot (when not on the interferometer), leading to plateaus in the finite-temperature conductance as function of the flux. The possibility to deduce the transmission phase shift of the quantum dot from measurements of the ABI conductance when it is opened (i.e., is connected to more than two leads) is examined, leading to the conclusion that finite-size effects, when significant, may hinder the detection of the Kondo phase shift