{"paper":{"title":"Holonomy-based Diagnostic of Strain Compatibility in Birefringence Imaging of Stress-induced Ferroelectric SrTiO$_3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Holonomy angle from closed loops detects orientational incompatibilities in strained SrTiO3 that local gradients overlook.","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Hirotaka Manaka, Kazuma Seike, Yoko Miura","submitted_at":"2026-04-12T08:27:15Z","abstract_excerpt":"We introduce a holonomy-based geometric diagnostic for birefringence-derived director fields and apply it to stress-induced ferroelectric SrTiO$_3$. Treating the director as a line field in $\\mathbb{R}P^2$, we define a holonomy angle $\\omega$ from residual rotations accumulated along closed loops in real space and compare it with a conventional local-gradient metric. Whereas the gradient quantifies local orientational variation, $\\omega$ probes the global compatibility of rotations along closed paths. The resulting $\\omega$ map cannot be reproduced by simple coarse-graining of local gradients,"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The resulting ω map cannot be reproduced by simple coarse-graining of local gradients, indicating sensitivity to loop-level orientational incompatibility.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the birefringence-derived director field faithfully represents the underlying strain-induced orientational variations as a line field in RP^2 without significant imaging artifacts or ambiguities in director assignment.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Holonomy angle from director field loops detects loop-level orientational incompatibility in stress-induced ferroelectric SrTiO3 that cannot be reproduced by coarse-graining local gradients.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Holonomy angle from closed loops detects orientational incompatibilities in strained SrTiO3 that local gradients overlook.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"cb6811adc6019c2d1e8a398975bf3b9b9d603d200ec9927a5ee7555729ddc051"},"source":{"id":"2604.10521","kind":"arxiv","version":2},"verdict":{"id":"f4e5445e-8b64-4615-b044-9c0fd957f87d","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T16:13:12.119758Z","strongest_claim":"The resulting ω map cannot be reproduced by simple coarse-graining of local gradients, indicating sensitivity to loop-level orientational incompatibility.","one_line_summary":"Holonomy angle from director field loops detects loop-level orientational incompatibility in stress-induced ferroelectric SrTiO3 that cannot be reproduced by coarse-graining local gradients.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the birefringence-derived director field faithfully represents the underlying strain-induced orientational variations as a line field in RP^2 without significant imaging artifacts or ambiguities in director assignment.","pith_extraction_headline":"Holonomy angle from closed loops detects orientational incompatibilities in strained SrTiO3 that local gradients overlook."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.10521/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":25,"sample":[{"doi":"","year":1991,"title":"E. K. Salje,Phase transitions in ferroelastic and co-elastic crystals, (Cambridge Uni- versity Press, 1991)","work_id":"cd0ccc45-5c89-448a-a543-09aa07beeec0","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2012,"title":"G. Catalan, J. Seidel, R. Ramesh, and J. F. Scott, Rev. Mod. Phys.84, 119 (2012)","work_id":"ab400789-97f2-47c8-bc82-59ae0771aa35","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2019,"title":"G. Tian, W. Yang, D. Chen, Z. Fan, Z. Hou, M. Alexe, and X. Gao, Nat. Sci. Rev.6, 684 (2019)","work_id":"7ab53469-626a-4d2b-b001-1dcd58868d99","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1977,"title":"R. M. Azzam and N. M. Bashara,Ellipsometry and polarized light, (North Holland, Amsterdam, 1977)","work_id":"d1ed9944-f8e5-46e3-bef3-94de31a0b3f4","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2016,"title":"H. Manaka, G. Yagi, and Y . Miura, Rev. Sci. Instrum.87, 073704 (2016)","work_id":"7f7e55ad-4427-4e53-82c0-56a0133f0ee5","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":25,"snapshot_sha256":"c139820f96ec592f957df38333266bde1a6e7a7da1e95ef5650494f699ecdeec","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"}