Measuring the transmission phase of a quantum dot in a closed interferometer

Details Measuring the transmission phase of a quantum dot in a closed interferometer Measuring the transmission phase of a quantum dot in a closed interferometer

2002-11-17

arxiv.org/abs/cond-mat/0211350v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Phys. Rev. Lett. (in press)

Scientific paper

10.1103/PhysRevLett.90.156802

The electron transmission through a {\it closed} Aharonov-Bohm mesoscopic solid-state interferometer, with a quantum dot (QD) on one of the paths, is calculated exactly for a simple model. Although the conductance is an even function of the magnetic flux (due to Onsager's relations), in many cases one can use the measured conductance to extract both the amplitude and the phase of the "intrinsic" transmission amplitude $t_D=-i|t_D|e^{i\alpha_D}$ through the "bare" QD. We also propose to compare this indirect measurement with the (hitherto untested) direct relation $\sin^2(\alpha_D) \equiv |t_D|^2/\max(|t_D|^2)$.

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