{"paper":{"title":"Symmetry-Protected Topological Phases in the Triangular Majorana-Hubbard Ladder","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"The triangular Majorana-Hubbard model on a four-leg ladder hosts multiple symmetry-protected topological phases.","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Alberto Nocera, Armin Rahmani, Jian-Xin Zhu, Will Holdhusen","submitted_at":"2026-04-27T18:09:42Z","abstract_excerpt":"We uncover a family of symmetry-protected topological phases in a model of interacting Majorana fermions on triangular-lattice ladders. Included among these phases is one in which symmetry-protected topological order coexists with spontaneous symmetry breaking associated with an adiabatically evolving set of symmetries. Our results indicate a mechanism through which interactions among Majorana modes generate nontrivial symmetry-fractionalized orders. These phases may be realized in arrays of vortex-bound Majorana zero modes on the surface of topological superconductors."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Analysis of entanglement-spectrum degeneracies and adiabatic connections identifies multiple symmetry-protected topological (SPT) phases. These phases could be realized in arrays of vortex-bound Majorana modes on the surface of a topological superconductor.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the DMRG and variational uniform matrix product state simulations on the four-leg ladder accurately capture the true ground states and that entanglement spectrum degeneracies reliably diagnose SPT order without significant finite-size or truncation artifacts.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Numerical simulations of the triangular Majorana-Hubbard ladder reveal multiple symmetry-protected topological phases identified through entanglement spectrum degeneracies and adiabatic connections.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The triangular Majorana-Hubbard model on a four-leg ladder hosts multiple symmetry-protected topological phases.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"4acd9a92e886229048faabcfecc16fe1facfdbfdba752db0ec0faee6fbc9af65"},"source":{"id":"2604.24887","kind":"arxiv","version":2},"verdict":{"id":"81a3c00d-f89f-4fcc-96f4-34d680631201","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T01:39:20.221946Z","strongest_claim":"Analysis of entanglement-spectrum degeneracies and adiabatic connections identifies multiple symmetry-protected topological (SPT) phases. These phases could be realized in arrays of vortex-bound Majorana modes on the surface of a topological superconductor.","one_line_summary":"Numerical simulations of the triangular Majorana-Hubbard ladder reveal multiple symmetry-protected topological phases identified through entanglement spectrum degeneracies and adiabatic connections.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the DMRG and variational uniform matrix product state simulations on the four-leg ladder accurately capture the true ground states and that entanglement spectrum degeneracies reliably diagnose SPT order without significant finite-size or truncation artifacts.","pith_extraction_headline":"The triangular Majorana-Hubbard model on a four-leg ladder hosts multiple symmetry-protected topological phases."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.24887/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T05:43:12.147928Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T21:43:05.321045Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"fcc84cf80ec709f343f12463395615ca50b19b0557df0782189b9e5824bbd32c"},"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"}