{ "id": "cond-mat/9702084", "version": "v1", "published": "1997-02-10T17:44:20.000Z", "updated": "1997-02-10T17:44:20.000Z", "title": "Comment on \"No enhancement of the localization length for two interacting particles in a random potential\"", "authors": [ "Klaus Frahm", "Axel Mueller-Groeling", "Jean-Louis Pichard", "Dietmar Weinmann" ], "comment": "1 page, Revtex, one figure", "doi": "10.1103/PhysRevLett.78.4889", "categories": [ "cond-mat.dis-nn", "cond-mat.mes-hall" ], "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 $L_2$ 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 $L_2$ to be significantly enhanced and independent of system size between L=100 and L=1000, as expected on physical grounds.", "revisions": [ { "version": "v1", "updated": "1997-02-10T17:44:20.000Z" } ], "analyses": { "keywords": [ "interacting particles", "random potential", "enhancement", "green function method", "particle localization length" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "RevTeX", "pages": 1, "language": "en", "license": "arXiv", "status": "editable" } } }