{"paper":{"title":"The conformal limit for bimerons in easy-plane chiral magnets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Bin Deng, Radu Ignat, Xavier Lamy","submitted_at":"2025-06-13T17:06:36Z","abstract_excerpt":"We study minimizers $\\boldsymbol{m}\\colon \\mathbb R^2\\to\\mathbb S^2$ of the energy functional \\begin{align*} E_\\sigma(\\boldsymbol{m}) = \\int_{\\mathbb R^2} \\bigg(\\frac 12 |\\nabla\\boldsymbol{m}|^2 +\\sigma^2 \\boldsymbol{ m} \\cdot \\nabla \\times\\boldsymbol{m} +\\sigma^2 m_3^2\n  \\bigg)\\, dx\\,, \\end{align*} for $0<\\sigma\\ll 1$, with prescribed topological degree \\begin{align*} Q(\\boldsymbol{m})=\\frac{1}{4\\pi} \\int_{\\mathbb R^2}\\boldsymbol{m} \\cdot \\partial_1 \\boldsymbol{m}\\times\\partial_2\\boldsymbol{m}\\, dx =\\pm 1\\,. \\end{align*} This model arises in thin ferromagnetic films with Dzyaloshinskii-Moriya"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.11955","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.11955/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}