No Enhancement of the Localization Length for Two Interacting Particles in a Random Potential

Abstract

We study two interacting particles in a random potential chain by means of the transfer matrix method. The dependence of the two-particle localization length ${\lambda }_2$ on disorder and interaction strength is investigated. Our results demonstrate that the recently proposed enhancement of ${\lambda }_2$ as compared to the results for single particles is entirely due to the finite size of the systems considered. This is shown for a Hubbard-like on site interaction and also a long-range interaction.