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arXiv · 0905.3881

Two mesoscopic models of two interacting electrons

Dibyendu Roy
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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.

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Dibyendu Roy. 2009-11-03. Two mesoscopic models of two interacting electrons. https://doi.org/10.1103/physrevb.80.245304

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