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

Amnon Aharony; Ora Entin-Wohlman; Yoseph Imry

doi:10.1103/PhysRevLett.90.156802

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

Amnon Aharony, Ora Entin-Wohlman, Yoseph Imry

Research output: Contribution to journal › Article › peer-review

42 Scopus citations

Abstract

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 sin2(αD)≡|tD|2/max(|tD|2).

Original language	English
Article number	156802
Number of pages	4
Journal	Physical Review Letters
Volume	90
Issue number	15
DOIs	https://doi.org/10.1103/PhysRevLett.90.156802
State	Published - 16 Apr 2003
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.90.156802

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title = "Measuring the Transmission Phase of a Quantum Dot in a Closed Interferometer",

abstract = "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{\textquoteright}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 sin2(αD)≡|tD|2/max(|tD|2).",

author = "Amnon Aharony and Ora Entin-Wohlman and Yoseph Imry",

note = "Funding Information: We thank R. Englman, M. Heiblum, Y. Levinson, ?>A. Schiller, H. A. Weidenm{\"u}ller, and A. Yacoby for ?>helpful conversations. This project was carried out in a center of excellence supported by the Israel Science Foundation, with additional support from the German-Israeli Foundation (GIF), and from the German Federal Ministry of Education and Research (BMBF) within ?>the Framework of the German-Israeli Project Coopera?>tion (DIP).",

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N2 - 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 sin2(αD)≡|tD|2/max(|tD|2).

AB - 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 sin2(αD)≡|tD|2/max(|tD|2).

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

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