Two-electron bound states in continuum in quantum dots

TL;DR

This paper investigates how strong Coulomb interactions in quantum dots influence the formation of bound states in the continuum, revealing that these interactions can generate two-electron BICs from single-electron states.

Contribution

It demonstrates that Coulomb interactions can replicate single-electron BICs into two-electron BICs within the impurity Anderson model framework.

Findings

Coulomb interactions enable the formation of two-electron BICs.

The condition for BICs is derived from Green function poles.

Coulomb interactions replicate single-electron BICs into two-electron states.

Abstract

Bound state in continuum (BIC) might appear in open quantum dots for variation of the dot's shape. By means of the equations of motion of Green functions we investigate effect of strong intradot Coulomb interactions on that phenomenon in the framework of impurity Anderson model. Equation that imaginary part of poles of the Green function equals to zero gives condition for BICs. As a result we show that Coulomb interactions replicate the single-electron BICs into two-electron ones.