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    Spontaneous supercurrents and vortex depinning in two-dimensional arrays of φ0 Josephson junctions

    S. Reinhardt1,2, A. G. Penner3, J. Berger1, C. Baumgartner1, S. Gronin4, G. C. Gardner4, T. Lindemann4,5, M. J. Manfra4,5,6,7, L. I. Glazman8 et al.

    F. von Oppen3, N. Paradiso1,*, and C. Strunk1

    • 1Institut für Experimentelle und Angewandte Physik, University of Regensburg, 93040 Regensburg, Germany
    • 2School of Applied and Engineering Physics, Cornell University, Ithaca, New York 14853, USA
    • 3Dahlem Center for Complex Quantum Systems and Fachbereich Physik, Freie Universität Berlin, 14195 Berlin, Germany
    • 4Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana 47907, USA
    • 5Department of Physics and Astronomy, Purdue University, West Lafayette, Indiana 47907, USA
    • 6School of Materials Engineering, Purdue University, West Lafayette, Indiana 47907, USA
    • 7Elmore Family School of Electrical and Computer Engineering, Purdue University, West Lafayette, Indiana 47907, USA
    • 8Department of Physics, Yale University, New Haven, Connecticut 06520, USA

    • *Contact author: nicola.paradiso@physik.uni-regensburg.de

    Phys. Rev. B 112, 224503 – Published 1 December, 2025

    DOI: https://doi.org/10.1103/31zv-84hw

    Abstract

    Two-dimensional arrays of ballistic Josephson junctions are important as model systems for synthetic quantum materials. Here, we investigate arrays of multiterminal junctions which exhibit a phase difference φ0 at zero current. When applying an in-plane magnetic field, we observe nonreciprocal vortex depinning currents. We explain this effect in terms of a ratchetlike pinning potential, which is induced by spontaneous supercurrent loops. Supercurrent loops arise in multiterminal φ0 junction arrays as a consequence of next-nearest-neighbor Josephson coupling. Tuning the density of vortices to commensurate values of the frustration parameter results in an enhancement of the ratchet effect. In addition, we find a surprising sign reversal of the ratchet effect near frustration 1/3. Our work calls for the search for novel magnetic structures in artificial crystals in the absence of time-reversal symmetry.

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