{"paper":{"title":"Fermi-edge singularity in the vicinity of the resonant scattering condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"M. E. Raikh, V. V. Mkhitaryan","submitted_at":"2010-05-06T01:45:38Z","abstract_excerpt":"Fermi-edge absorption theory predicting the spectrum, A(\\omega)\\propto \\omega^{-2\\delta_0/\\pi+\\delta^2_0/\\pi^2}, relies on the assumption that scattering phase, \\delta_0, is frequency-independent. Dependence of \\delta_0 on \\omega becomes crucial near the resonant condition, where the phase changes abruptly by \\pi. In this limit, due to finite time spent by electron on a resonant level, the scattering is dynamic. We incorporate this time delay into the theory, solve the Dyson equation with a modified kernel and find that, near the resonance, A(\\omega) behaves as \\omega^{-3/4} |\\ln \\omega|. Reso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.0873","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":""},"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"}