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

Abstract

Mesoscopic solid state Aharonov-Bohm interferometers have been used to measure the "intrinsic" phase, ${\alpha }_{QD}$, 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 $\beta$ only "jumps" between 0 and $\pi$. Additional terminals open the interferometer but then $\beta$ depends on the details of the opening. Using a theoretical model, we present quantitative criteria (which can be tested experimentally) for $\beta$ to be equal to the desired ${\alpha }_{QD}$: the "lossy" channels near the QD should have both a small transmission and a small reflection.

References in corpus (3)

• Broken unitarity and phase measurements in Aharonov-Bohm interferometers
• Transmission Phase of an Isolated Coulomb-Blockade Resonance
• Conductance-Phase Determination in Double Slit Transmission across a Quantum Dot by Hilbert Transform Method

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