Mesoscopic behavior of the transmission phase through confined correlated electronic systems

Abstract

We investigate the effect of electronic correlations on the transmission phase of quantum coherent scatterers, considering quantum dots in the Coulomb blockade regime connected to two single-channel leads. We focus on transmission zeros and the associated π-phase lapses that have been observed in interferometric experiments. We numerically explore two types of models for quantum dots: (i) lattice models with up to eight sites, and (ii) resonant level models with up to six levels. We identify different regimes of parameters where the presence of electronic correlations is responsible for the increase or the decrease of the number of transmission zeros vs. electrochemical potential on the dot. However, we show that interaction effects cannot reproduce the universal behavior of alternating resonances and phase lapses, experimentally observed in many-electron Coulomb blockaded dots. Our numerical results strongly suggest that the main experimentally observed features are captured by the theory for chaotic ballistic dots of Molina et al., [Phys. Rev. Lett. 108, 076803 (2012)] incorporating one-particle wave-function correlations but ignoring many-particle electronic correlations.

17 pages, 14 figures

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Cited by in corpus (9)

• Quantum Interference in Off-Resonant Transport through Single Molecules
• Chiral bound states in the continuum
• Non-universal transmission phase behaviour of a large quantum dot
• Evolution of the transmission phase through a Coulomb-blockaded Majorana wire
• Time-dependent wave packet simulations of transport through Aharanov-Bohm rings with an embedded quantum dot
• Transmission phase lapses through a quantum dot in a strong magnetic field
• Transmission phase of a quantum dot and statistical fluctuations of partial-width amplitudes
• Inverse Mean Field Theory
• Correlation between peak-height modulation and phase-lapses in transport through quantum dots