{"paper":{"title":"Current precision in interacting hybrid Normal-Superconducting systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Coulomb interactions reduce the precision of Andreev-mediated currents in normal-superconducting quantum dots by renormalizing resonances and suppressing coherence.","cross_cats":["cond-mat.supr-con"],"primary_cat":"cond-mat.mes-hall","authors_text":"Fabio Taddei, Michele Governale, Nahual Sobrino, Rosario Fazio","submitted_at":"2026-02-06T15:39:00Z","abstract_excerpt":"We study Andreev-mediated transport and current fluctuations in interacting normal-superconducting quantum-dot systems. Using a generalized master equation based on real-time diagrammatics and full counting statistics, we compute the steady-state current, zero-frequency noise, and rate of entropy production in the large superconducting-gap limit. We show how Coulomb interactions modify Andreev-mediated transport by renormalizing resonant conditions and suppressing superconducting coherence, leading to a pronounced reduction of current precision even when average currents are only weakly affect"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Coulomb interactions modify Andreev-mediated transport by renormalizing resonant conditions and suppressing superconducting coherence, leading to a pronounced reduction of current precision even when average currents are only weakly affected.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The large superconducting-gap limit together with the validity of the real-time diagrammatic master equation for the interacting case.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Coulomb interactions renormalize Andreev resonances and suppress coherence in NS quantum dots, producing a pronounced drop in current precision and eliminating quantum TUR violations while the hybrid bound holds.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Coulomb interactions reduce the precision of Andreev-mediated currents in normal-superconducting quantum dots by renormalizing resonances and suppressing coherence.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"29d764827074a8ddda2ba2b2d87a111591dbbe89efa3f52e511f4ab0df97427d"},"source":{"id":"2602.06781","kind":"arxiv","version":2},"verdict":{"id":"21b2c319-daa1-4c74-9221-8522195be6ec","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T06:22:02.760203Z","strongest_claim":"Coulomb interactions modify Andreev-mediated transport by renormalizing resonant conditions and suppressing superconducting coherence, leading to a pronounced reduction of current precision even when average currents are only weakly affected.","one_line_summary":"Coulomb interactions renormalize Andreev resonances and suppress coherence in NS quantum dots, producing a pronounced drop in current precision and eliminating quantum TUR violations while the hybrid bound holds.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The large superconducting-gap limit together with the validity of the real-time diagrammatic master equation for the interacting case.","pith_extraction_headline":"Coulomb interactions reduce the precision of Andreev-mediated currents in normal-superconducting quantum dots by renormalizing resonances and suppressing coherence."},"references":{"count":64,"sample":[{"doi":"","year":null,"title":"The rate matrix can be systematically decomposed into five distinct classes of contributions","work_id":"c72b3696-518b-4470-ab7d-a58d32dff7c4","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"We now consider the limitU α → ∞, corresponding to strong local Coulomb blockade in each quantum dot","work_id":"6cd371ca-b716-46aa-8b18-2510f2ec7e37","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Single Quantum Dot We start deriving the Green’s function of the sin- gle quantum dot, with the Hamiltonian given in Eq. 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Using the anticommutator relations{d σ, d† σ′}= δσσ ′,{d σ, dσ′}={d † σ, d","work_id":"5e0af1ce-83b2-495c-8e19-50cbb954eb70","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Using the canonical anticommuta- tion relations{d ασ, d† βσ ′}=δ αβδσσ ′ and{d ασ, dβσ ′}= 0, together with the Hamiltonian in Eq","work_id":"2f9b7b43-acfe-4b69-a5bb-72644858a4cd","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"This comparison is restricted to parameter ranges where the HF approximation is considered to be accurate, namelyU≲Γ N and|µ N | ≪k BT","work_id":"40776638-4072-4f3e-878d-1d8660f8d663","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":64,"snapshot_sha256":"3e9d08a624106d6ca858285208d6bddcf941c2fad7a139c2449b55a2c8dedefb","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"925ecf9181ffeebbf7ff951e5158e40a8135cbf0b5c984183ceee806c0afe1bc"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}