How to Measure the Transmission Phase through a Quantum Dot in a Two-Terminal Interferometer

2010/06/23 by Vadim Puller, Yigal Meir · 1 voice
Physics and Astronomy · Engineering · #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #Advancements in Semiconductor Devices and Circuit Design

paper · doi:10.1103/physrevlett.104.256801

openalex publication_date 2010/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Measurement of the transmission phase through a quantum dot (QD) embedded in an arm of a two-terminal Aharonov-Bohm (AB) interferometer is inhibited by phase symmetry, i.e., the property that the linear response conductance of a two-terminal device is an even function of the magnetic field. It is demonstrated that in a setup consisting of an interferometer with a QD in each of its arms, with one of the QDs capacitively coupled to a nearby quantum point contact (QPC), phase symmetry is broken when a finite voltage bias is applied to the QPC. The transmission phase via the uncoupled QD can then be deduced from the amplitude of the odd component of the AB oscillations.

Citations

• Time-dependent transport in interacting and non-interacting mesoscopic systems
• Dephasing and the Orthogonality Catastrophe in Tunneling through a Quantum Dot: The “Which Path?” Interferometer
• Towards an Explanation of the Mesoscopic Double-Slit Experiment: A New Model for Charging of a Quantum Dot
• Landauer formula for the current through an interacting electron region

Discussions

• Typically tunneling matrix elements are characterized not only by the index of state within the "interacting" region $\alpha$ , but also the index of the lead from/to which the tunneling occurs $\nu$ [stackexchange, 1 points]

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