Comment on "No enhancement of the localization length for two interacting particles in a random potential"
Klaus Frahm, Axel Mueller-Groeling, Jean-Louis Pichard, Dietmar Weinmann
Abstract
In a recent letter [Phys. Rev. Lett. 78, 515 (1997); cond-mat/9612034] Roemer and Schreiber report on numerical calculations that led them to conclude that the previously observed enhancement of the localization length L2 of two interacting particles (TIP) vanishes in the thermodynamic limit. We point out that such a claim (i) is in conflict with the scaling theory of localization, (ii) ignores a consistent picture from a wealth of published numerical data and analytical investigations, and (iii) directly contradicts new numerical results obtained with a Green function method that is well adapted to the problem under study. The claim of Roemer and Schreiber is based on extrapolating from L<360 to infinity. Our data clearly shows the two particle localization length L2 to be significantly enhanced and independent of system size between L=100 and L=1000, as expected on physical grounds.
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