Two-electron resonances in quasi-one dimensional quantum dots with Gaussian confinement

TL;DR

This paper investigates two-electron resonances in a quasi-one-dimensional quantum dot with Gaussian confinement, analyzing how confinement parameters influence resonance energies and widths using complex-coordinate rotation.

Contribution

It introduces a detailed analysis of autoionization resonances in a two-electron quantum dot with Gaussian confinement, employing complex-coordinate rotation to determine resonance properties.

Findings

Resonance energies and widths depend on confinement parameters.

System exhibits autoionization resonances beyond bound states.

Stability properties vary with quantum dot geometry.

Abstract

We consider a quasi one-dimensional quantum dot composed of two Coulombically interacting electrons confined in a Gaussian trap. Apart from bound states, the system exhibits resonances that are related to the autoionization process. Employing the complex-coordinate rotation method, we determine the resonance widths and energies and discuss their dependence on the longitudinal confinement potential and the lateral radius of the quantum dot. The stability properties of the system are discussed.