English

Exact eigenstates and transmission for two interacting electrons on quantum dots

Condensed Matter 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.cond-mat/9908059,
  title  = {Exact eigenstates and transmission for two interacting electrons on quantum dots},
  author = {Amnon Aharony O. Entin-Wohlman and Y. Imry and Y. Levinson},
  journal= {arXiv preprint arXiv:cond-mat/9908059},
  year   = {2007}
}
R2 v1 2026-07-22T12:13:53.462Z