Mesoscopic to universal crossover of the transmission phase of multilevel quantum dots

Jan von Delft

Ludwig-Maximilians-Universität München, Arnold-Sommerfeld-Center, München, Germany

Transmission phase α measurements of many-electron quantum dots (small mean level spacing δ) revealed universal phase lapses by π between consecutive resonances. In contrast, for dots with only a few electrons (large δ), the appearance or not of a phase lapse depends on the dot parameters. We show that a model of a multilevel quantum dot with local Coulomb interactions and arbitrary level-lead couplings reproduces the generic features of the observed behavior. The universal behavior of α for small for small δ follows from Fano-type antiresonances of the renormalized single-particle levels.

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