{"paper":{"title":"Coupled-wire construction of non-Abelian higher-order topological phases","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A coupled-wire model builds non-Abelian higher-order topological insulators whose hybridized corner modes require both a quaternion charge and a winding number to be nontrivial.","cross_cats":["quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Jiaxin Pan, Longwen Zhou","submitted_at":"2025-12-24T13:59:13Z","abstract_excerpt":"Non-Abelian topological charges (NATCs), characterized by their noncommutative algebra, offer a framework for describing multigap topological phases beyond conventional Abelian invariants. While higher-order topological phases (HOTPs) host boundary states at corners or hinges, their characterization has largely relied on Abelian invariants such as winding and Chern numbers. Here, we propose a coupled-wire scheme of constructing non-Abelian HOTPs and analyze a non-Abelian second-order topological insulator as its minimal model. The resulting Hamiltonian supports hybridized corner modes, protect"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The resulting Hamiltonian supports hybridized corner modes, protected by parity-time-reversal plus sublattice symmetries and described by a topological vector that unites a non-Abelian quaternion charge with an Abelian winding number. Corner states emerge only when both invariants are nontrivial.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The coupled-wire arrangement can be tuned to realize a stable non-Abelian quaternion charge whose associated corner modes remain gapless under the stated symmetries without additional interactions or disorder that would gap them.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Coupled-wire construction produces non-Abelian second-order topological insulators in which hybridized corner states appear only when both a quaternion charge and a winding number are nontrivial.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A coupled-wire model builds non-Abelian higher-order topological insulators whose hybridized corner modes require both a quaternion charge and a winding number to be nontrivial.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"9d6db9a45f42ac7e64ac7440b491b063cb47c2902bdea0ed0281993ba58d4c26"},"source":{"id":"2512.21179","kind":"arxiv","version":3},"verdict":{"id":"381f5cc5-7692-48b7-83c9-1adace1c5023","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T19:35:47.311787Z","strongest_claim":"The resulting Hamiltonian supports hybridized corner modes, protected by parity-time-reversal plus sublattice symmetries and described by a topological vector that unites a non-Abelian quaternion charge with an Abelian winding number. Corner states emerge only when both invariants are nontrivial.","one_line_summary":"Coupled-wire construction produces non-Abelian second-order topological insulators in which hybridized corner states appear only when both a quaternion charge and a winding number are nontrivial.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The coupled-wire arrangement can be tuned to realize a stable non-Abelian quaternion charge whose associated corner modes remain gapless under the stated symmetries without additional interactions or disorder that would gap them.","pith_extraction_headline":"A coupled-wire model builds non-Abelian higher-order topological insulators whose hybridized corner modes require both a quaternion charge and a winding number to be nontrivial."},"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"}