Effects of signs in tunneling matrix elements on transmission zeros and phase

Abstract

The effect of the signs in the tunneling matrix elements on the transmission zeros and the transmission phase in transport through a quantum dot is studied. The existence of the transmission zeros is determined by both the relative signs and the strength of the tunneling matrix elements for two neighboring energy levels of a dot. The experimentally observed oscillating behavior of the transmission phase over several Coulomb peaks can be explained by the uniform distribution of the relative signs. Based on the simple model of a quantum dot, we present a possible scenario which can give the uniform signs over several conductance peaks. We suggest that the location of the transmission zeros can be identified by inspecting the Fano interference pattern in the linear response conductance of the Aharonov-Bohm (AB) interferometer with an embedded quantum as a function of the number of electrons in a dot and the AB flux.

arXiv comment9 pages, 6 figures. Accepted for publication in Phys. Rev. B

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Cited by in corpus (15)

• Coulomb-Modified Fano Resonance in a One-Lead Quantum Dot
• Mesoscopic Fano Effect in a Quantum Dot Embedded in an Aharonov-Bohm Ring
• Mesoscopic to universal crossover of transmission phase of multi-level quantum dots
• Transmission through Quantum Dots: Focus on Phase Lapses
• Interference Effects in the Conductance of Multi-Level Quantum Dots
• Fano resonances in the overlapping regime
• Unexpected Conductance Dip in the Kondo Regime of Linear Arrays of Quantum Dots
• Prediction of Ferromagnetic Correlations in Coupled Double-Level Quantum Dots
• Fano Resonance and Orbital Filtering in Multiply Connected Carbon Nanotubes
• Electron Transport through a Molecular Conductor with Center-of-Mass Motion
• Transmission phase lapses in quantum dots: the role of dot-lead coupling asymmetry
• Level-occupation switching of the Quantum Dot, and phase anomalies in mesoscopic interferometry
• Transmission zero in a quantum dot with strong electron-electron interaction: Perturbative conductance calculations
• The Fano regime of one-dot Aharonov-Bohm interferometers
• Mesoscopic behavior of the transmission phase through confined correlated electronic systems