Exact eigenstates and transmission for two interacting electrons on quantum dots

1999/08/04 by Amnon Aharony O. Entin-Wohlman, Entin-Wohlman, Amnon Aharony O., Y. Imry +3
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 #cond-mat

paper · pdf · doi:10.48550/arxiv.cond-mat/9908059

arxiv created 1999/08/04 · openalex publication_date 1999/08/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The eigenstates and the scattering transmission for two interacting electrons are found exactly for I quantum dots, including the hybridization with the states on the leads. The results imply limitations on the validity of the Coulomb blockade picture. The ground states for I=1, and 2 on a one--dimensional chain (modeling single and double quantum dots) exhibit quantum delocalization and magnetic transitions. The effective transmission T of two interacting electrons through one impurity (I=1) is enhanced by a renormalization of the repulsive interaction, when one of the electrons is captured in a strongly localized state.

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