{"paper":{"title":"Emergence of a non trivial fluctuating phase in the XY model on regular networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Sarah De Nigris (CPT), Xavier Leoncini (CPT)","submitted_at":"2012-07-27T14:05:32Z","abstract_excerpt":"We study an XY-rotor model on regular one dimensional lattices by varying the number of neighbours. The parameter $2\\ge\\gamma\\ge1$ is defined. $\\gamma=2$ corresponds to mean field and $\\gamma=1$ to nearest neighbours coupling. We find that for $\\gamma<1.5$ the system does not exhibit a phase transition, while for $\\gamma > 1.5$ the mean field second order transition is recovered. For the critical value $\\gamma=\\gamma_c=1.5$, the systems can be in a non trivial fluctuating phase for whichthe magnetisation shows important fluctuations in a given temperature range, implying an infinite susceptibi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.6550","kind":"arxiv","version":3},"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"}