English

Comment on "No enhancement of the localization length for two interacting particles in a random potential"

Disordered Systems and Neural Networks 2009-10-30 v1 Mesoscale and Nanoscale Physics

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 L2L_2 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 L2L_2 to be significantly enhanced and independent of system size between L=100 and L=1000, as expected on physical grounds.

Keywords

Cite

@article{arxiv.cond-mat/9702084,
  title  = {Comment on "No enhancement of the localization length for two interacting particles in a random potential"},
  author = {Klaus Frahm and Axel Mueller-Groeling and Jean-Louis Pichard and Dietmar Weinmann},
  journal= {arXiv preprint arXiv:cond-mat/9702084},
  year   = {2009}
}

Comments

1 page, Revtex, one figure