{"paper":{"title":"Multiband Superconductivity in the Exactly Solvable Hatsugai-Kohmoto Model","license":"http://creativecommons.org/licenses/by/4.0/","headline":"The orbital Hatsugai-Kohmoto model supplies an exactly solvable platform for classifying multiband superconducting gap structures and computing their mean-field critical temperatures.","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.supr-con","authors_text":"Nico Hahn, R. Matthias Geilhufe","submitted_at":"2026-05-13T09:41:46Z","abstract_excerpt":"Multiband superconductivity gives rise to a rich landscape of possible pairing states. Here we study superconductivity in the multiband extension of the Hatsugai-Kohmoto model, an exactly solvable model of correlated electrons with momentum-local interactions, which provides a minimal framework to explore the interplay of strong correlations, orbital structure and pairing symmetry. Focusing on a two-orbital system with point-group symmetry $\\rm D_{4h}$, we classify the symmetry-allowed superconducting gap structures, taking into account spin, orbital and momentum degrees of freedom. We further"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Our results provide a systematic framework for analyzing superconductivity in the orbital Hatsugai-Kohmoto model and extend symmetry-based approaches to correlated multiband settings.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The mean-field treatment accurately describes the superconducting transition and order parameter in this strongly correlated multiband model.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The multiband Hatsugai-Kohmoto model yields a symmetry classification of superconducting gaps and mean-field critical temperatures for selected pairing channels in a two-orbital system.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The orbital Hatsugai-Kohmoto model supplies an exactly solvable platform for classifying multiband superconducting gap structures and computing their mean-field critical temperatures.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"514a3da644cf90f678d8366c340df6b3d61176f83a11146873d196f59664381f"},"source":{"id":"2605.13259","kind":"arxiv","version":1},"verdict":{"id":"80adfe41-3723-4d16-8856-52ae47c341fe","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T18:42:36.052364Z","strongest_claim":"Our results provide a systematic framework for analyzing superconductivity in the orbital Hatsugai-Kohmoto model and extend symmetry-based approaches to correlated multiband settings.","one_line_summary":"The multiband Hatsugai-Kohmoto model yields a symmetry classification of superconducting gaps and mean-field critical temperatures for selected pairing channels in a two-orbital system.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The mean-field treatment accurately describes the superconducting transition and order parameter in this strongly correlated multiband model.","pith_extraction_headline":"The orbital Hatsugai-Kohmoto model supplies an exactly solvable platform for classifying multiband superconducting gap structures and computing their mean-field critical temperatures."},"references":{"count":50,"sample":[{"doi":"","year":2023,"title":"The free energy is F = −T ln Z = N g |∆|2 − T ∑ k∈HBZ ln Zk","work_id":"606e36cf-75f4-4fb7-843b-246a4cb59325","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2003,"title":"S. 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Balatsky, Odd-Frequency Superconductiv- ity, Rev. Mod. Phys.91, 045005 (2019)","work_id":"6edcbc18-3d57-4473-8599-dcbf15bf3c72","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":50,"snapshot_sha256":"9964d9a3935da1255b4120b56e651fd056b5310dbdd6c82dbc169ca53b4792ac","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"}