{"paper":{"title":"Finite-size corrections to scaling of the magnetization distribution in the $2d$ $XY$-model at zero temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. Riveros, D. Zambrano, F. Niedermayer, G. Palma, Z. R\\'acz","submitted_at":"2016-04-04T17:09:46Z","abstract_excerpt":"The zero-temperature, classical $XY$-model on an $L \\times L$ square-lattice is studied by exploring the distribution $\\Phi_L(y)$ of its centered and normalized magnetization $y$ in the large $L$ limit. An integral representation of the cumulant generating function, known from earlier works, is used for the numerical evaluation of $\\Phi_L(y)$, and the limit distribution $\\Phi_{L \\rightarrow \\infty} (y) = \\Phi_0(y)$ is obtained with high precision. The two leading finite-size corrections $\\Phi_L (y) -\\Phi_0 (y) \\approx a_1(L)\\, \\Phi_1(y) + a_2(L)\\,\\Phi_2(y)$ are also extracted both from numeric"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00948","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"}