Current precision in interacting hybrid Normal-Superconducting systems

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Hauptverfasser: Sobrino, Nahual, Taddei, Fabio, Fazio, Rosario, Governale, Michele
Format: Preprint
Veröffentlicht: 2026
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author Sobrino, Nahual
Taddei, Fabio
Fazio, Rosario
Governale, Michele
author_facet Sobrino, Nahual
Taddei, Fabio
Fazio, Rosario
Governale, Michele
contents 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 affected. These effects are particularly evident at high temperatures, where conventional Coulomb-blockade features are thermally smeared while fluctuation properties remain highly sensitive. By analyzing thermodynamic uncertainty relations, we demonstrate that violations of the quantum bound present in the noninteracting regime are progressively reduced and eventually suppressed as interactions increase, whereas the recently proposed hybrid bound remains satisfied. Our results clarify how Coulomb interactions, and nonequilibrium fluctuations jointly determine transport properties in hybrid superconducting devices, and establish current precision as a robust benchmark for interacting Andreev transport beyond the noninteracting limit.
format Preprint
id arxiv_https___arxiv_org_abs_2602_06781
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Current precision in interacting hybrid Normal-Superconducting systems
Sobrino, Nahual
Taddei, Fabio
Fazio, Rosario
Governale, Michele
Mesoscale and Nanoscale Physics
Superconductivity
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 affected. These effects are particularly evident at high temperatures, where conventional Coulomb-blockade features are thermally smeared while fluctuation properties remain highly sensitive. By analyzing thermodynamic uncertainty relations, we demonstrate that violations of the quantum bound present in the noninteracting regime are progressively reduced and eventually suppressed as interactions increase, whereas the recently proposed hybrid bound remains satisfied. Our results clarify how Coulomb interactions, and nonequilibrium fluctuations jointly determine transport properties in hybrid superconducting devices, and establish current precision as a robust benchmark for interacting Andreev transport beyond the noninteracting limit.
title Current precision in interacting hybrid Normal-Superconducting systems
topic Mesoscale and Nanoscale Physics
Superconductivity
url https://arxiv.org/abs/2602.06781