3D Anderson transition for two electrons in 2D

TL;DR

This paper demonstrates that Coulomb interactions can induce a transition from localized to delocalized states of two electrons in 2D disordered systems, resembling the 3D Anderson transition, especially at low electron densities.

Contribution

It reveals that electron-electron Coulomb interactions can cause a 2D Anderson-like transition, a novel insight into electron localization phenomena in low-dimensional systems.

Findings

Coulomb interaction induces delocalization in 2D two-electron systems.

Transition occurs at low electron density and high r_s values.

Localized phase corresponds to low density and large r_s.

Abstract

It is shown that the Coulomb interaction can lead to delocalization of two electron states in two-dimensional (2D) disordered potential in a way similar to the Anderson transition in three dimensions (3D). At fixed disorder strength the localized phase corresponds to low electron density and large value of parameter r_s.