{"paper":{"title":"The Widom line in the Ising model on a decorated bilayer lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The pseudo-transitions of one-dimensional frustrated Ising models become real first-order phase transitions when extended to a decorated bilayer lattice in two dimensions.","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Bruno Tomasello, Joseph Chapman, Justas Gidziunas, Sam Carr","submitted_at":"2026-04-13T15:13:34Z","abstract_excerpt":"There has been much recent interest devoted to a class of frustrated one-dimensional statistical mechanics lattice models which exhibit sharp thermodynamics. In this work, we study an extension of one of these models to two dimensions; the Ising model on a decorated bilayer lattice. We show that the pseudo-transitions of the one-dimensional models become a real first order phase transition in this two-dimensional analogue. Moreover, the pseudo-transition is found to still exist above a bi-critical point. This can be characterised as a Widom line, which allows a re-interpretation of the physics"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show that the pseudo-transitions of the one-dimensional models become a real first order phase transition in this two-dimensional analogue. Moreover, the pseudo-transition is found to still exist above a bi-critical point. This can be characterised as a Widom line.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The decorated bilayer lattice extension from one dimension preserves the essential pseudo-transition physics without new artifacts dominating the thermodynamics, and that the numerical or analytical identification of the first-order transition and bi-critical point is accurate.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The Ising model on a decorated bilayer lattice turns one-dimensional pseudo-transitions into a real first-order phase transition, with the pseudo-transition surviving as a Widom line above the bi-critical point.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The pseudo-transitions of one-dimensional frustrated Ising models become real first-order phase transitions when extended to a decorated bilayer lattice in two dimensions.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"7c2b1676b3ffaa329713ae8bf5d43e9f1974d83af1d6bb0314c96d5f997ff603"},"source":{"id":"2604.11606","kind":"arxiv","version":2},"verdict":{"id":"623449bc-9dfe-46aa-82db-a7415e8691a3","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T15:23:50.343917Z","strongest_claim":"We show that the pseudo-transitions of the one-dimensional models become a real first order phase transition in this two-dimensional analogue. Moreover, the pseudo-transition is found to still exist above a bi-critical point. This can be characterised as a Widom line.","one_line_summary":"The Ising model on a decorated bilayer lattice turns one-dimensional pseudo-transitions into a real first-order phase transition, with the pseudo-transition surviving as a Widom line above the bi-critical point.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The decorated bilayer lattice extension from one dimension preserves the essential pseudo-transition physics without new artifacts dominating the thermodynamics, and that the numerical or analytical identification of the first-order transition and bi-critical point is accurate.","pith_extraction_headline":"The pseudo-transitions of one-dimensional frustrated Ising models become real first-order phase transitions when extended to a decorated bilayer lattice in two dimensions."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.11606/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}