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    Josephson current anomalies driven by fluctuation imbalance in superconducting junctions

    Andreas Sinner*

    • *Contact author: andreas.sinner@uni.opole.pl

    Phys. Rev. B 113, 195201 – Published 1 May, 2026

    DOI: https://doi.org/10.1103/b1jl-6d4m

    Abstract

    We investigate fluctuation-dominated physics in a superconductor–insulator–superconductor Josephson junction modeled by a Bogoliubov–de Gennes Hamiltonian. The resulting free-energy functional, expanded in powers of the fluctuations, depends explicitly on the imbalance between the absolute values of the fluctuations in the two electrodes. By solving a Ginzburg-Landau equation for this imbalance field, we determine its spatial configuration and the corresponding Josephson current. Going beyond the harmonic approximation for the effective potential reveals the emergence of a regime characterized by singular behavior of the Josephson current.

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