Two Interacting Electrons in a Disorder Potential: Localization Properties

Abstract

Two electrons move in a quasi one--dimensional wire under the influence of a short--range interaction. We restrict Hilbert space to those states where the two electrons are close to each other. Using supersymmetry, we present a complete analytical solution to this problem. The two--body interaction affects the density of states and, thereby, the localization length. We derive a criterion for the onset of changes of the localization length due to the two--body interaction.

46 pages, 1 figure

References in corpus (3)

• Spectral Properties of the k-Body Embedded Gaussian Ensembles of Random Matrices
• Non-Universal Behavior of the k-Body Embedded Gaussian Unitary Ensemble of Random Matrices
• Localization Properties of Two Interacting Electrons in a Disordered Quasi One-Dimensional Potential

Cited by in corpus (1)

• Eigenfunction structure and scaling of two interacting particles in the one-dimensional Anderson model