{"paper":{"title":"Antiferromagnetic Potts Models on the Square Lattice","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-lat","authors_text":"Alan D. Sokal, Sabino Jos\\'e Ferreira","submitted_at":"1994-05-17T16:17:18Z","abstract_excerpt":"We study the antiferromagnetic $q$-state Potts model on the square lattice for $q=3$ and $q=4$, using the Wang-Swendsen-Koteck\\'y Monte Carlo algorithm and a new finite-size-scaling extrapolation method. For $q=3$ we obtain good control up to correlation length $\\xi \\sim 5000$; the data are consistent with $\\xi(\\beta) = A e^{2\\beta} \\beta (1 + a_1 e^{-\\beta} + \\ldots)$ as $\\beta\\to\\infty$. For $q=4$ the model is disordered even at zero temperature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9405015","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"}