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Josephson current anomalies driven by fluctuation imbalance in superconducting junctions

Andreas Sinner

DOI 10.1103/b1jl-6d4m · Physical Review B

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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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