Fermi-arcs mediated transport in surface Josephson junctions of Weyl semimetal

This study presents Fermi-arcs mediated transport in a Weyl semimetal thin slab, interfacing two $s$-wave superconductors. We present detailed study with both time-reversal and inversion symmetry broken Weyl semimetals under grounding, orbital magnetic fields, and Zeeman fields. An orbital magnetic field induces energy level oscillations, while a Zeeman field give rise to the periodic anomalous oscillations in the Josephson current. These anomalous oscillations correlate with the separation of Weyl nodes in momentum space, junction length, and system symmetries. Additionally, we present an explanation by scattering theory modeling the Fermi-arcs as a network model.