{"paper":{"title":"Geometry-Driven Nonlinear Orbital Magnetoelectric Effect","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A nonlinear orbital magnetoelectric effect generates orbital magnetization quadratically in centrosymmetric materials.","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Jian Wang, Jinxiong Jia, Zhenhua Qiao","submitted_at":"2026-05-17T14:04:40Z","abstract_excerpt":"We propose a nonlinear orbital magnetoelectric effect, which generates orbital magnetization quadratically in centrosymmetric materials where the linear orbital magnetoelectric effect is strictly forbidden. Using extended semiclassical formulation, we derive a gauge-invariant microscopic theory that separates intrinsic and extrinsic contributions and establishes their distinct dependence on the relaxation time, providing an experimental discriminator. In two-dimensional systems the nonlinear response is far less constrained by out-of-plane rotational symmetries than the linear orbital magnetoe"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We propose a nonlinear orbital magnetoelectric effect, which generates orbital magnetization quadratically in centrosymmetric materials where the linear orbital magnetoelectric effect is strictly forbidden.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The extended semiclassical formulation remains valid and gauge-invariant for the nonlinear orbital response, allowing clean separation of intrinsic and extrinsic contributions that depend differently on relaxation time.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A nonlinear orbital magnetoelectric effect is derived for centrosymmetric materials via extended semiclassical theory, separating intrinsic and extrinsic parts with distinct relaxation-time scalings and reduced symmetry constraints in 2D.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A nonlinear orbital magnetoelectric effect generates orbital magnetization quadratically in centrosymmetric materials.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"c6f1fb57b995e6f9886dbb9486a320c4761926031d9b661f1cf5a2c6879e0692"},"source":{"id":"2605.17462","kind":"arxiv","version":1},"verdict":{"id":"fe761f52-446a-48d2-b4ba-3a6b6837422c","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T22:52:00.852363Z","strongest_claim":"We propose a nonlinear orbital magnetoelectric effect, which generates orbital magnetization quadratically in centrosymmetric materials where the linear orbital magnetoelectric effect is strictly forbidden.","one_line_summary":"A nonlinear orbital magnetoelectric effect is derived for centrosymmetric materials via extended semiclassical theory, separating intrinsic and extrinsic parts with distinct relaxation-time scalings and reduced symmetry constraints in 2D.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The extended semiclassical formulation remains valid and gauge-invariant for the nonlinear orbital response, allowing clean separation of intrinsic and extrinsic contributions that depend differently on relaxation time.","pith_extraction_headline":"A nonlinear orbital magnetoelectric effect generates orbital magnetization quadratically in centrosymmetric materials."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17462/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T23:01:19.560568Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T23:01:10.690127Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T21:41:57.704469Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.659542Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"2e67d7457770908ea186620148cd26e90e84707ca210f898ba76cfce33358221"},"references":{"count":64,"sample":[{"doi":"","year":null,"title":"(6) We further define ¯gab nm = − iLa nmrb mn/ǫ nm = ¯Gab nm − i ¯Ω ab nm/ 2 and ¯Ccab nm = − Re [ iLc nmDa mnrb mn ] /ǫ nm","work_id":"b1c7a6f1-7524-48d6-9de9-f3237aa675ca","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"yields the extrinsic NOME contribution, χ (1) c;ab = χ (1,od ) c;ab + χ (1,ic ) c;ab + χ (1,d ) c;ab , with its components defined as χ (1,od ) c;ab = − τ ∑ nm fn∂ a ¯Ω cb nm, (7) χ (1,ic ) c;ab = − τ ","work_id":"670c721e-0c6a-40f3-b196-e6bd8e22b700","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Remarkably, its intrinsic contribution can be both T -even and P-even contribution, and may there- fore remain finite even in systems without SOC","work_id":"e42b3452-c95e-4e41-92d6-dbdfbb977afd","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2005,"title":"B. A. Bernevig, T. L. Hughes, and S. C. Zhang, Orbi- tronics: The Intrinsic Orbital Current in p-Doped Sili- con, Phys. Rev. Lett. 95, 066601 (2005)","work_id":"7ea10ee9-509c-4342-a563-b160bce6f845","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2018,"title":"D. Go, D. Jo, C. Kim and H. W. Lee, Intrinsic Spin and Orbital Hall Effects from Orbital Texture, Phys. Rev. Lett. 121, 086602 (2018)","work_id":"38892397-d83a-4a5b-bc09-3194b371f0ed","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":64,"snapshot_sha256":"307d7325d34cd394fcb8c73219b50044d432a8def797778f950cf7f7d29bc83c","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"8176d6290fb7a3c1c77f4484ec3425ffc2db13d040f636deca9078b6ebdfe998"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}