{"paper":{"title":"Exact Potts Model Partition Function for Strips of the Square Lattice","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jesus Salas, Robert Shrock, Shu-Chiuan Chang","submitted_at":"2001-08-08T19:45:20Z","abstract_excerpt":"We present exact calculations of the Potts model partition function $Z(G,q,v)$ for arbitrary $q$ and temperature-like variable $v$ on $n$-vertex square-lattice strip graphs $G$ for a variety of transverse widths $L_t$ and for arbitrarily great length $L_\\ell$, with free longitudinal boundary conditions and free and periodic transverse boundary conditions. These have the form $Z(G,q,v)=\\sum_{j=1}^{N_{Z,G,\\lambda}} c_{Z,G,j}(\\lambda_{Z,G,j})^{L_\\ell}$. We give general formulas for $N_{Z,G,j}$ and its specialization to $v=-1$ for arbitrary $L_t$ for both types of boundary conditions, as well as o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0108144","kind":"arxiv","version":2},"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"}