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

1995/02/08 by Gregor Hackenbroich, Hackenbroich, G., H.A. Weidenmueller +1
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #Surface and Thin Film Phenomena

paper · pdf · doi:10.48550/arxiv.cond-mat/9502033

openalex publication_date 1995/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Motivated by a recent experiment by Yacoby et al. [preprint, 1994], we calculate magnitude and phase α 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 α increases by 2 π over each resonance, with a sharp rise by π 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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