The delocalization problem of two interacting electrons in a two-dimensional random potential

TL;DR

This paper investigates how Coulomb interactions influence electron localization in a two-dimensional disordered system using exact diagonalization and statistical analysis.

Contribution

It introduces a numerical approach to study the effects of electron-electron interactions on localization in 2D random potentials.

Findings

Coulomb interaction affects localization properties

Level statistics reveal interaction-induced delocalization

Electron-electron separation varies with disorder and interaction strength

Abstract

The problem of two electrons in a two-dimensional random potential is addressed numerically. Specifically, the role of the Coulomb interaction between electrons on localization is investigated by writing the Hamiltonian on a localized basis and diagonalizing it exactly. The result of that procedure is discussed in terms of level statistics, and the expectation value of the electron-electron separation.