Séminaire du LPTMS: Rodolfo Jalabert


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405
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Scattering Phase of Quantum Dots: Emergence of Universal Behavior

Rodolfo Jalabert, Institut de Physique et Chimie des Materiaux de Strasbourg

In a coherent conductor like a quantum dot, the transmission phase is of key importance in determining the transport properties. Unlike the conductance, the transmission phase is not directly measurable. Nevertheless, phase-sensitive experiments have been performed by embedding a quantum dot in one of the arms of an Aharonov-Bohm interferometer. These experiments, observing in-phase behavior between consecutive Coulomb-blockade resonances, have remained unexplained for more than a decade. We provide a solution of this puzzle by showing that wave-function correlations existing in chaotic ballistic quantum dots are responsible for the emergence of large universal sequences of in-phase resonances in the short wavelength limit [1]. In quantum dots with at least one hundred electrons the description of Coulomb blockade physics within a constant charging energy model allows for an effective one-particle description. Smaller dots require going beyond mean-field approaches by including the effect of electronic correlations. We develop a numerical method, using the Density Matrix Renormalization Group algorithm, in order to obtain the transmission phase of a strongly interacting system. We demonstrate that electronic correlations do not generically lead to the in-phase behavior and that small dots are always in the mesoscopic regime of random relative transmission phases [2].

[1] R.A. Molina, R.A. Jalabert, D. Weinmann, and Ph. Jacquod; Phys. Rev. Lett. 108, 076803 (2012).

[2] R.A. Molina, P. Schmitteckert, D. Weinmann, R.A. Jalabert, and Ph. Jacquod; arXiv:1212.2114 (2012).

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