Broken unitarity and phase measurements in Aharonov-Bohm interferometers

Abstract

Aharonov-Bohm mesoscopic solid-state interferometers yield a conductance which contains a term $\cos (\varphi +\beta )$, where $\varphi$ relates to the magnetic flux. Experiments with a quantum dot on one of the interfering paths aim to relate $\beta$ to the dot's intrinsic Friedel transmission phase, ${\alpha }_1$. For closed systems, which conserve the electron current (unitarity), the Onsager relation requires that $\beta =0$. For open systems, we show that $\beta$ depends in general on the details of the broken unitarity. Although it gives information on the resonances of the dot, $\beta$ is generally not equal to ${\alpha }_1$. A direct relation between $\beta$ and ${\alpha }_1$ requires specific ways of opening the system, which are discussed.

4 pages, 3 figures(eps). Phys. Rev. Letters (in press)

References in corpus (3)

• Kondo Correlations and the Fano Effect in Closed AB-Interferometers
• Fano and Kondo resonance in electronic current through nanodevices
• Transmission Phase of a Quantum Dot with Kondo Correlation Near the Unitary Limit

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