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    From two dimensions to wire networks in hybrid Josephson arrays

    J. D. Bondar1,2, L. Banszerus1,3, W. Marshall1,4, T. Lindemann2, T. Zhang2, M. J. Manfra2,5,6,7, C. M. Marcus1,8, and S. Vaitiekėnas1

    Phys. Rev. B 114, 134509 – Published 14 September, 2026

    DOI: https://doi.org/10.1103/q49z-zwwk

    Abstract

    We investigate Josephson arrays consisting of a dice-lattice network of superconducting weak links surrounding rhombic plaquettes of proximitized semiconductor. Josephson coupling of the weak links and electron density in the plaquettes are independently controlled by separate electrostatic gates. Applied magnetic flux results in an intricate pattern of switching currents associated with frustration, f. For depleted plaquettes, the switching current is nearly periodic in f, expected for a phase-only description, while occupied plaquettes yield a decreasing envelope of switching currents with increasing f. A model of flux dependence based on ballistic small-area junctions and diffusive large-area plaquettes yields excellent agreement with experiment, revealing how lateral proximity in semiconducting hybrids controls the crossover between film- and network-like superconductivity.

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