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Phys. Rev. Lett. 90, 156802 (2003) [4 pages]

Measuring the Transmission Phase of a Quantum Dot in a Closed Interferometer

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Amnon Aharony1, Ora Entin-Wohlman1,2, and Yoseph Imry3
1School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel
2Albert Einstein Minerva Center for Theoretical Physics, Weizmann Institute of Science, Rehovot 76100, Israel
3Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel

Received 17 November 2002; published 16 April 2003

The electron transmission through a 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 tD=-i|tD|eiαD through the “bare” QD. We also propose to compare this indirect measurement with the (hitherto untested) direct relation sin⁡2(αD)≡|tD|2/max⁡(|tD|2).

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.156802
DOI:
10.1103/PhysRevLett.90.156802
PACS:
73.63.–b, 03.75.–b, 78.67.Hc, 85.35.Ds