{"paper":{"title":"Combinatorial model for the ferroelectric domain-network formation in hexagonal manganites","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Bruno Mettout, Manfred Fiebig, Martin Lilienblum, Pierre Toledano","submitted_at":"2013-11-05T09:18:39Z","abstract_excerpt":"As the result of the high-temperature improper ferroelectric transition occurring in YMnO3 and other hexagonal manganites a striking domain pattern was observed: an emergence of six domains of alternating polarization from one point in a vortex-like pattern. We derive the formation and distribution of the domain-vortex network from a combinatorial analysis based on order-parameter symmetry and lattice geometry. The analysis leads to stable vortex-like configurations of the six domain states in the basal plane perpendicular to the polarization and to fragmented vortices in planes parallel to th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0993","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}