Two interacting particles in a random potential

Dmitry O. Krimer, Ramaz Khomeriki, Sergej Flach

Published 2011-05-13Version 1

We study the scaling of the localization length of two interacting particles in a one-dimensional random lattice with the single particle localization length. We obtain several regimes, among them one interesting weak Fock space disorder regime. In this regime we derive a weak logarithmic scaling law. Numerical data support the absence of any strong enhancement of the two particle localization length.