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VOLUME 94 | ISSUE 5 | PAGE 438
Two interacting particles in a random potential
D. O. Krimer∇*, R. Khomeriki^{\nabla\square}, S. Flach

Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany
* Theoretische Physik, Universität Tübingen, 72076 Tübingen, Germany
^{\square}Physics Department, Tbilisi State University, 0128 Tbilisi, Georgia

Abstract
We study the scaling of the localization length of two interacting bosons in a one-dimensional random lattice with the single particle localization length. We consider the short-range interaction assuming that the particles interact when located both on the same site. We discuss several regimes, among them one interesting weak Fock space disorder regime. In this regime we obtain a weak logarithmic scaling law. Numerical benchmark data support the absence of any strong enhancement of the two particle localization length.


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