Independent-Electron Model for the Phase of the Transmission Amplitude in Quantum Dots

Details Independent-Electron Model for the Phase of the Transmission Amplitude in Quantum Dots Independent-Electron Model for the Phase of the Transmission Amplitude in Quantum Dots

1995-02-08

arxiv.org/abs/cond-mat/9502033v1

Physics

Condensed Matter

10 pages, RevTeX, 2 figures in separate uufile

Scientific paper

Motivated by a recent experiment by Yacoby et al.\ [preprint, 1994], we calculate magnitude and phase $\alpha$ of the transmission amplitude through a quantum dot. We work in the Coulomb blockade regime, assume the electrons not to interact, and consider tunneling through isolated resonances. Assuming a non--resonant background, we find that $\alpha$ increases by $2 \pi$ over each resonance, with a sharp rise by $\pi$ over an energy interval much smaller than the thermal width. This is consistent with the experimental data. Our assumptions can be tested by further experiments.

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