{"paper":{"title":"Impurity-induced geometric correlations and fractional quantization in quantum Hall systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Correlated ionized impurities induce coherent coupling between cyclotron orbits that splits Landau levels into fractional sublevels with an odd-denominator hierarchy.","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"M. A. Hidalgo","submitted_at":"2026-05-14T16:21:36Z","abstract_excerpt":"We propose a geometric mechanism for fractional quantum Hall states based on impurity-induced correlations within a Landau level. A correlated distribution of ionized impurities partially modifies the Landau-level degeneracy through coherent coupling between cyclotron orbits, generating fractional energy sublevels. The odd-denominator hierarchy emerges naturally from the intrinsic guiding-center quantization and the correlated cyclotron motion. The resulting spectrum reproduces the principal experimentally observed fractional sequences and predicts a strong dependence of fractional-state stabi"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"A correlated distribution of ionized impurities partially modifies the Landau-level degeneracy through coherent coupling between cyclotron orbits, generating fractional energy sublevels. The odd-denominator hierarchy emerges naturally from the intrinsic guiding-center quantization and the correlated cyclotron motion.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That a correlated impurity distribution can be treated as producing coherent coupling between cyclotron orbits that splits Landau levels into stable fractional sublevels without violating the standard Landau-level structure or requiring additional interactions.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Impurity-induced geometric correlations within a Landau level generate fractional quantum Hall states via coherent coupling of cyclotron orbits.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Correlated ionized impurities induce coherent coupling between cyclotron orbits that splits Landau levels into fractional sublevels with an odd-denominator hierarchy.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"30f92263a1767407929606635cb8f9586295aee5abeb013d11d284a1c3975e31"},"source":{"id":"2605.15022","kind":"arxiv","version":1},"verdict":{"id":"5bd54263-5543-4ecc-9f92-bba7e62cd63f","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T03:02:20.031669Z","strongest_claim":"A correlated distribution of ionized impurities partially modifies the Landau-level degeneracy through coherent coupling between cyclotron orbits, generating fractional energy sublevels. The odd-denominator hierarchy emerges naturally from the intrinsic guiding-center quantization and the correlated cyclotron motion.","one_line_summary":"Impurity-induced geometric correlations within a Landau level generate fractional quantum Hall states via coherent coupling of cyclotron orbits.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That a correlated impurity distribution can be treated as producing coherent coupling between cyclotron orbits that splits Landau levels into stable fractional sublevels without violating the standard Landau-level structure or requiring additional interactions.","pith_extraction_headline":"Correlated ionized impurities induce coherent coupling between cyclotron orbits that splits Landau levels into fractional sublevels with an odd-denominator hierarchy."},"references":{"count":12,"sample":[{"doi":"","year":null,"title":"The absence of a robust incom- pressible state at filling factor 1/2 follows naturally from cancellation of the geometric correlations responsible for odd-denominator states (p=0)","work_id":"51b9c832-56d0-48ae-bfd9-2b9ed880f6f5","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1981,"title":"R. B. Laughlin, Physical Review B23, 5632 (1981)","work_id":"148eb57d-f573-4d66-8105-2930f93fd97f","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1983,"title":"R. B. Laughlin, Physical Review Letters50, 1395 (1983)","work_id":"38888a8e-e96e-4e93-967c-7db04aae2f9b","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1992,"title":"Jain, Advances in Physics41, 105 (1992)","work_id":"f341efd3-8200-4d83-876d-c632e0cca7d0","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2019,"title":"C. Cohen-Tannoudji, B. Diu, and F. Lalo¨ e,Quantum Me- chanics, Volume 1: Basic Concepts, Tools, and Applica- tions, 2nd ed. (John Wiley & Sons, 2019)","work_id":"a2cc7ef6-1340-4b3b-950f-1e76c0b86a19","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":12,"snapshot_sha256":"e5367aac82275b628826ec4ef6f247cc02347e720ff106abb7cdb18869fce0fe","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"720f488b4b0bc677d55e65c821f7974c66574fb06a5906f6b6e02d2e173ff87c"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}