English

Two mesoscopic models of two interacting electrons

Quantum Physics 2015-05-13 v2

Abstract

We study two simple mesoscopic models of interacting two electrons; first one consists of two quantum coherent parallel conductors with long-range Coulomb interaction in some localized region and the other is of an interacting quantum dot (QD) side-coupled to a noninteracting quantum wire. We evaluate exact two-particle scattering matrix as well as two-particle current which are relevant in a two-particle scattering experiment in these models. Finally we show that the on-site repulsive interaction in the QD filters out the spin-singlet two-electron state from the mixed two-electron input states in the side-coupled QD model.

Keywords

Cite

@article{arxiv.0905.3881,
  title  = {Two mesoscopic models of two interacting electrons},
  author = {Dibyendu Roy},
  journal= {arXiv preprint arXiv:0905.3881},
  year   = {2015}
}

Comments

8 pages, 5 figures, revised version, to appear in Phys. Rev. B

R2 v1 2026-06-21T13:05:24.344Z