{"paper":{"title":"Fourth-order closure obstruction and chiral nonlocality in circular kinetic magnetotransport","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"P. Shubham Parashar","submitted_at":"2026-07-22T09:10:38Z","abstract_excerpt":"Closing an angular moment hierarchy at the stress level omits a definite back-action from higher Fermi-surface harmonics. For a circular two-dimensional Fermi surface, streaming changes angular momentum by one, so the shortest omitted sequence, $1\\!\\to\\!2\\!\\to\\!3\\!\\to\\!2\\!\\to\\!1$, adds a fourth-order term to the current eigenvalue, $\\Lambda(q)=\\gamma_1+\\nu q^2-\\kappa_4q^4+\\cdots$, with $\\nu=v_F^2/(4\\gamma_2)$ and $\\kappa_4=\\nu^2/\\gamma_3$. We call this missing operator term the fourth-order closure obstruction. Its gradient expansion is controlled when $\\nu q^2/\\gamma_3\\ll1$. Circular symmetry"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.22730","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/2607.22730/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"}