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Mesoscopic to universal crossover of transmission phase of multi-level quantum dots

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arxiv cond-mat/0609191 v3 pith:T6VQQGMQ submitted 2006-09-08 cond-mat.mes-hall cond-mat.str-el

Mesoscopic to universal crossover of transmission phase of multi-level quantum dots

C. Karrasch , T. Hecht , A. Weichselbaum , Y. Oreg , J. von Delft , V. Meden This is my paper
classification cond-mat.mes-hall cond-mat.str-el
keywords phasedeltadotsquantumuniversalalphabehaviormulti-level
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Transmission phase \alpha measurements of many-electron quantum dots (small mean level spacing \delta) revealed universal phase lapses by \pi between consecutive resonances. In contrast, for dots with only a few electrons (large \delta), the appearance or not of a phase lapse depends on the dot parameters. We show that a model of a multi-level quantum dot with local Coulomb interactions and arbitrary level-lead couplings reproduces the generic features of the observed behavior. The universal behavior of \alpha for small \delta follows from Fano-type antiresonances of the renormalized single-particle levels.

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