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  • Letter
  • Open Access

Vortex refraction and enhanced vortex velocities at tilted superconductor-normal metal interfaces

Matéo F. L. Roinard-Chauvet1,2,*, Axel J. M. Deenen2,*, and Dirk Grundler2,3,†

  • *These authors contributed equally to this work.
  • †Contact author: dirk.grundler@epfl.ch

Phys. Rev. Research 8, L022018 – Published 27 April, 2026

DOI: https://doi.org/10.1103/ld3z-kkmp

Abstract

We derive a refraction law for superconducting vortices at superconductor/normal metal (S/N) interfaces that are exposed to tilted magnetic fields. Simulations of the proximity effect confirm this law and reveal vortex trapping for low effective mass. Under transport currents, we find tilt-angle-dependent core displacements due to vortex viscosities differing across the S/N interface and characteristic voltage oscillations due to the modified vortex dynamics. Our results are important for emerging three-dimensional superconductor nanotechnologies. They offer design principles for high-current S/N devices and their interface orientation in an applied field.

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