{"paper":{"title":"The differential sum rule for the relaxation rate in the cuprates","license":"","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.supr-con","authors_text":"Andrey V. Chubukov, Ar. Abanov","submitted_at":"2001-12-06T02:08:03Z","abstract_excerpt":"Motivated by recent experiments by Basov {\\it et al}, we study the differential sum rule for the effective scattering rate $1/\\tau (\\omega)$. We show that in a dirty BCS superconductor, the area under $1/\\tau (\\omega)$ does not change between the normal and the superconducting states.\n For magnetically mediated pairing, similar result holds between $T<T_c$ and $T \\geq T_c$, while in the pseudogap phase,\n $1/\\tau (\\omega)$ is just suppressed compared to $1/\\tau(\\omega)$ in the normal state. We argue that this violation of the differential sum rule is due to the fact that low-energy fermions in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0112085","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"}