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Which phase is measured in the mesoscopic Aharonov-Bohm interferometer?

A. Aharony·O. Entin-Wohlman·B. I. Halperin·Y. Imry
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Abstract

Mesoscopic solid state Aharonov-Bohm interferometers have been used to measure the "intrinsic" phase, $α_{QD}$, of the resonant quantum transmission amplitude through a quantum dot (QD). For a two-terminal "closed" interferometer, which conserves the electron current, Onsager's relations require that the measured phase shift $β$ only "jumps" between 0 and $π$. Additional terminals open the interferometer but then $β$ depends on the details of the opening. Using a theoretical model, we present quantitative criteria (which can be tested experimentally) for $β$ to be equal to the desired $α_{QD}$: the "lossy" channels near the QD should have both a small transmission and a small reflection.

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A. Aharony, O. Entin-Wohlman, B. I. Halperin, Y. Imry. 2002-05-13. Which phase is measured in the mesoscopic Aharonov-Bohm interferometer?. https://doi.org/10.1103/physrevb.66.115311

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