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

Abstract

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 ${\sin }^2({\alpha }_D)\equiv |t_D{|}^2/\max (|t_D{|}^2)$.

Phys. Rev. Lett. (in press)

References in corpus (9)

• Tuning of the Fano Effect through a Quantum Dot in an Aharonov-Bohm Interferometer
• Kondo Correlations and the Fano Effect in Closed AB-Interferometers
• Fano and Kondo resonance in electronic current through nanodevices
• Flux-Dependent Level Attraction in Double-Dot Aharonov-Bohm Interferometers
• Which phase is measured in the mesoscopic Aharonov-Bohm interferometer?
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• Effects of broken time-reversal symmetry on transmission zeros in the Aharonov-Bohm interferometer
• Transmission Phase of an Isolated Coulomb-Blockade Resonance

Cited by in corpus (26)

• Fano resonances in nanoscale structures
• Mesoscopic Fano Effect in a Quantum Dot Embedded in an Aharonov-Bohm Ring
• Mono-parametric quantum charge pumping: interplay between spatial interference and photon-assisted tunneling
• Transmission through Quantum Dots: Focus on Phase Lapses
• Kondo effect in complex mesoscopic structures
• Breakdown of `phase rigidity' and variations of the Fano effect in closed Aharonov-Bohm interferometers
• Tunable pseudogap Kondo effect and quantum phase transitions in Aharonov-Bohm interferometers
• Transient quantum transport in double-dot Aharonov-Bohm interferometers
• Engineering the Kondo and Fano effects in double quantum dots
• Measuring the Kondo effect in the Aharonov-Bohm interferometer
• Interference Effect in Multi-level Transport through a Quantum Dot
• Effects of external radiation on biased Aharonov-Bohm rings
• Persistent currents in interacting Aharonov-Bohm interferometers and their enhancement by acoustic radiation
• Phase Effects on the Conductance Through Parallel Double Dots
• Transmission phase lapses in quantum dots: the role of dot-lead coupling asymmetry
• Transient probing of the symmetry and the asymmetry of electron interference
• The Fano regime of one-dot Aharonov-Bohm interferometers
• Evolution of the transmission phase through a Coulomb-blockaded Majorana wire
• Transport properties of a molecule embedded in an Aharonov-Bohm interferometer
• How to Measure the Transmission Phase via a Quantum Dot in a Two-Terminal Interferometer
• Spin-flip Effects in the Mesoscopic Spin-Interferometer
• Phase measurements in open and closed Aharonov-Bohm interferometers
• Decoherence and Dephasing in Kondo Tunneling through Double Quantum Dots
• Exotic electron states and tunable magneto-transport in a fractal Aharonov-Bohm interferometer
• Kondo Effect in Mesoscopic Quantum Dots
• Adiabatic quantum pumping in an Aharonov-Bohm loop and in a Si-like nanowire: Role of interference in real space and in momentum space