{"paper":{"title":"Scaling the localisation lengths for two interacting particles in one-dimensional random potentials","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.str-el","authors_text":"Mark Leadbeater, Michael Schreiber, Rudolf A. Roemer","submitted_at":"1998-09-28T08:40:25Z","abstract_excerpt":"Using a numerical decimation method, we compute the localisation length $\\lambda_{2}$ for two onsite interacting particles (TIP) in a one-dimensional random potential. We show that an interaction $U>0$ does lead to $\\lambda_2(U) > \\lambda_2(0)$ for not too large $U$ and test the validity of various proposed fit functions for $\\lambda_2(U)$. Finite-size scaling allows us to obtain infinite sample size estimates $\\xi_{2}(U)$ and we find that $ \\xi_{2}(U) \\sim \\xi_2(0)^{\\alpha(U)} $ with $\\alpha(U)$ varying between $\\alpha(0)\\approx 1$ and $\\alpha(1) \\approx 1.5$. We observe that all $\\xi_2(U)$ d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9809369","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}