{"paper":{"title":"Aharonov-Bohm effect in one-channel weakly disordered rings","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"E. P. Nakhmedov, H. Feldmann, R. Oppermann","submitted_at":"1999-10-06T07:19:49Z","abstract_excerpt":"A new diagrammatic method, which is a reformulation of Berezinskii's technique, is constructed to study the density of electronic states $\\rho(\\epsilon,\\phi)$ of a one-channel weakly disordered ring, threaded by an external magnetic flux. The exact result obtained for the density of states shows an oscillation of $\\rho(\\epsilon,\\phi)$ with a period of the flux quantum $\\phi_0= hc/e $. As the sample length (or the impurity concentration) is reduced, a transition takes place from the weak localization regime (L >> l) to the ballistic one (L <= l). The analytical expression for the density of sta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9910067","kind":"arxiv","version":2},"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"}